The required moments of the resulting two couples is calculated to be 16.39 Nm.
Forces acting are two 60N forces
A and C are the corners of a 200-mm square plate
The equation for AC is given as(AC forms a hypotenuse, with two similar sides),
AC = √0.2²+0.2² = 0.2√2 m
sin75° = d/AC
d = 0.2√2 sin75° = 0.2732 m
m Fm = Fm × 0.2
m Fm = -30 V₃ 0.2
m Fm = -6 V₃
m Fv = -6 Nm
So, m = 16.39 Nm (clockwise)
Thus, the required moments of the resulting two couples is calculated to be 16.39 Nm.
The given question is incomplete. The complete question is 'Two parallel 60-N forces are applied as shown to the corners A and C of a 200-mm square plate.'
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While painting the top of an antenna 206 m in height, a worker accidentally lets a 1.30-L water bottle fall from his lunchbox. The bottle lands in some bushes at ground level and does not break. If a quantity of heat equal to the magnitude of the change in mechanical energy of the water goes into the water, what is its increase in temperature?
While painting the top of an antenna 206 m in height, a worker accidentally lets a 1.30-L water bottle fall from his lunchbox, the increase in temperature of the water is approximately 0.48 degrees Celsius.
To find the increase in temperature of the water bottle.
To calculate the change in mechanical energy of the water bottle, we can use the following formula:
Δ[tex]E_{mech[/tex] = m × g × h
where m is the mass of the water bottle, g is the acceleration due to gravity (approximately 9.81 m/s²), and h is the height of the antenna (206 m).
Δ[tex]E_{mech[/tex] = 1.30 kg × 9.81 m/s² × 206 m
Δ[tex]E_{mech[/tex] ≈ 2605.646 J
Since the worker accidentally drops the bottle, we know that the change in mechanical energy is negative (lost energy).
Now, to find the increase in temperature (ΔT) of the water, we can use the formula:
Δ[tex]E_{int[/tex] = m × c × ΔT
where Δ[tex]E_{int[/tex] is the change in internal energy (heat), m is the mass of the water bottle, c is the specific heat capacity of water (approximately 4186 J/(kg°C)), and ΔT is the increase in temperature we want to find.
Since the quantity of heat (Q) is equal to the magnitude of the change in mechanical energy (|Δ[tex]E_{mech[/tex]|):
|Δ[tex]E_{mech[/tex]| = m × c × ΔT
ΔT = |Δ[tex]E_{mech[/tex]| ÷ (m × c)
ΔT ≈ 2605.646 J ÷ (1.30 kg × 4186 J/(kg°C))
ΔT ≈ 0.48°C
Thus, the increase in temperature of the water bottle is approximately 0.48°C.
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suppose you use the southern cross to determine that the south celestial pole appears 40 degrees above your horizon. then you must be located at group of answer choices latitude 50 degrees south. latitude 40 degrees north. longitude 40 degrees. latitude 40 degrees south.
"Suppose you use the southern cross to determine that the south celestial pole appears 40 degrees above your horizon. Then you must be located at latitude 40 degrees south." The correct option is 4th.
The local sky's star heights are unaffected by longitude.
The celestial equator and celestial horizon would coincide. Now picture yourself on the Earth's equator, at 0° latitude. Here the celestial equator would pass through your zenith and the north celestial pole (NCP) would lie at the North Point of the horizon and have an altitude of 0°.
Degrees north (+) or south (-) of the celestial equator are used to measure declination. The Earth's Equator is projected onto the Celestial Sphere to create the Celestial Equator. By definition, the CE has a declination of 0 degrees.
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an object is released from rest near the surface of the planet the velocity of the object as a function of time is expressed in the following equation vy = (-3 m/s2) t all frictional forces are considered to be negligible. what distance does the object fall 10s after it is release from rest? a. 3 m b. 30 m c. 150 m d. 500 m
The distance at which object falls is 150m.
Given,
The velocity of the object as a function of time is : [tex]v_{y} = (-3\frac{m}{s^{2} } )t[/tex]
We know that [tex]a = dv/dt[/tex] and [tex]a = v. dv/ds[/tex]
Using these two equations we get: [tex]ds = v .dt[/tex]
Where,
v = velocity function
a = acceleration
s = distance
t = time
To find distance we need to integrate i.e.
[tex]s= \int\limits^a_0 {-3t} \, dt[/tex]
Here a = upper limit = 10 sec (t)
So, [tex]s = \frac{-3t^{2} }{2}[/tex]
Putting t=10, we get s = 150m
So, the distance is 150 m.
Speed is defined as the rate of change of position of an object in any direction.Distance is the total movement of an object without any regard to direction. We can define distance as to how much ground an object has covered despite its starting or ending point.Time can be defined as the dimension based on which the evolution of any system takes place. It can be measured in terms of seconds, minutes, hours, days, weeks, months, and years.To know more about kinematics visit:
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factoring in everything we currently know about the history of the universe, our best estimate for the age of the universe is [ select ] . additionally, some scientists speculate that our universe is not the only universe that exists, but the only one we can gather evidence about. this idea is called [ select ] .
Factoring in everything we currently know about the history of the universe, our best estimate for the age of the universe is 13.8 billion years old. additionally, some scientists speculate that our universe is not the only universe that exists, but the only one we can gather evidence about. this idea is called Multiverse Theory .
The multiverse theory is the idea that there may be multiple universes existing in parallel to our own, with their own laws of physics, laws of nature, and potentially different versions of ourselves. The multiverse theory has been proposed by many scientists.
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What two types of simple machine make up this compound machine? Screw,incline,plane lever,wheel and axle screw lever lever pulley
The two types of simple machine make up this compound machine are the screw and the lever.
What is the simple machine?A screw is a simple machine that consists of a spiral groove or ridge, called a thread, wrapped around a cylinder or cone. When the screw is rotated, it can be used to hold two objects together or to lift an object by turning it into a threaded hole.
Therefore, A lever is a simple machine that consists of a rigid bar that pivots on a fixed point, called a fulcrum. A force applied to one end of the lever can be used to lift or move an object at the other end. Lever can be classified into three classes depending on the position of the load, effort and fulcrum.
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you need to determine the density of a ceramic statue. if you suspend it from a spring scale, the scale reads 30.4 n . if you then lower the statue into a tub of water, so that it is completely submerged, the scale reads 17.0 n .
In this case, the weight in air is 30.4 N and the weight in water is 17.0 N the density can be found using the formula:
density of object = (weight in air - weight in water) / volume of object
The volume of the statue is required to calculate the density using the formula:
density of object = (weight in air - weight in water) / volume of object
To determine the density of the ceramic statue, you can use the concept of buoyancy. The buoyant force on an object submerged in a fluid is equal to the weight of the fluid that is displaced by the object. This can be calculated using the equation:
density of object = (weight in air - weight in water) / volume of object
In this case, the weight in air is 30.4 N and the weight in water is 17.0 N. To calculate the volume of the object, you will need to measure it or have the information available. Once you have the volume, you can plug it into the above equation and calculate the density of the ceramic statue.
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Which statements about rainbows are true? Choose more than one answer.
The true options about a rainbow are, sunlight slows down as it enters water droplets in the sky. Rainbows are a type of interference pattern. Refracted Sunlight makes the arc in the rainbow.
Are rainbows caused by refraction or diffraction?The result of light striking water droplets is a multicolored arc. A rainbow is a meteorological phenomenon that appears in the sky as a spectrum of light due to light reflection, refraction, and dispersion in water droplets. It appears as a circular arc with various colors. The part of the sky right across from the Sun is where rainbows brought on by sunlight always occur.
When light encounters a water droplet, it is bent at the air-water interface and penetrates the droplet, where it is divided into seven hues. The light then reflects inside the droplet before being refracted out into the atmosphere once more, creating a rainbow appearance.
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A crane uses 19000 watts of power to lift a 6200 kg chunk of metal in a certain amount of time, how much
power will he use to do the same amount of work in three times the time?
The power required to do the same amount of work in three times the time is 19000 watts / 3 = 6333.33 watts.
What is power?
Power is a measure of the rate of energy transfer. It is the rate at which work is done or energy is converted from one form to another. Power is typically measured in watts, which is equal to one joule of energy per second. Power is an important concept in physics, as it can be used to calculate the amount of work done, the amount of energy transferred, or the rate of change of some other physical quantity. Power is also closely related to the concepts of force and energy.
Therefore, The power required to do the same amount of work in three times the time is 19000 watts / 3 = 6333.33 watts.
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the acceleration of a particle is defined by the relation 1 , xa k e where k is a constant. knowing that the velocity of the particle is 9v m/s when 3x m and that the particle comes to rest at the origin, determine (a) the value of k, (b) the velocity of the particle when 2x m.
Determine (a) the value of k in light of the fact that the particle has a velocity of +9 m/s at x=-3 m and rests at the origin.
How fast are particles moving?The speed of a particle—real or hypothetical—in a medium because it transmits a pulse is known as the particle velocity. The meter per second (m/s) is the metric unit for particle speed. Most of the time, this pressure wave is longitudinal, such as with noise, but it may also be transverse, similar to the vibration of the a tight string.
Why is a particle at rest important?You could understand the phrase "A particle in repose prefers to stay at rest" to mean that what a particle that isn't moving relative to a certain context aware tends to remain stationary relative to those same things.
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a teacher finds an old lightbulb in a supply room. the teacher asks a student to design a procedure to determine if the lightbulb is ohmic or nonohmic. the student plans to connect the light bulb to batteries of different emfemf and measure the potential difference across and the current through the lightbulb. which of the following is the best way to analyze the data to determine if the lightbulb is ohmic or nonohmic?
The correct answer is B) Graphing the potential difference across the lightbulb as a function of the current through the lightbulb to see if there is a linear relationship.
An ohmic material is one that has a linear relationship between the current flowing through it and the potential difference across it. The resistance of an ohmic material does not change with the current flowing through it.
Therefore, the best way to analyse the data to determine if the lightbulb is ohmic or nonohmic is to graph the potential difference across the lightbulb as a function of the current through the lightbulb. If the graph is a straight line, it indicates that the lightbulb is ohmic. If the graph is not a straight line, it indicates that the lightbulb is nonohmic.
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Complete Question:
A teacher finds an old lightbulb in a supply room. The teacher asks a student to design a procedure to determine if the lightbulb is ohmic or nonohmic. The student plans to connect the light bulb to batteries of different emf and measure the potential difference across and the current through the lightbulb. Which of the following is the best way to analyse the data to determine if the lightbulb is ohmic or nonohmic?
A) Calculating the resistance for each pair of potential difference and current measurements, and then averaging all of the resistance values.
B) Graphing the potential difference across the lightbulb as a function of current through the lightbulb to see if there is a linear relationship.
C) Graphing the power of the lightbulb as a function of the potential difference across the lightbulb to see if there is a linear relationship.
D) Averaging all of the values of the potential difference and averaging all the values of the current and then calculating an overall value for resistance based on averages
6-7 Collisions and Explosions (1-D)
1. A flatcar with mass M, traveling at speed v, collides with and couples to a parked
boxcar. They move off together with a speed of 1/3 v. What is the mass of the boxcar?
We know that (momentum after) = (momentum before)
We remember that (Momentum) = (mass) x (speed)
Mass of the flatcar = M
Mass of the boxcar = m
Speed of the flatcar before the collision = v
Speed of the two cars stuck together after the collision = v/3
Total momentum before the collision = M · v
Total momentum after the collision = (M + m) · (v/3)
Momentum is conserved. (Total after) = (total before)
(M + m) · (v/3) = (M · v)
Eliminate parentheses on the left. Mv/3 + mv/3 = Mv
Divide both sides of the equation by v . M/3 + m/3 = M
Multiply both sides of the equation by 3 . M + m = 3M
Subtract M from both sides of the equation. m = 2M
The mass of the boxcar is 2 times the mass of the flatcar.
A sea If the determine 103,000 N Im² divor. density 35M 10301 H=10M total ko no ros belos Surface of the Sea be Sea water is 1.03g/cm²³3 and g=10Nig take atmospheric Pressure to be 103000.calculate total pressure
A sea or an ocean's water is known as seawater or salt water. Oceans around the world have an average salinity of 3.5% (35 g/L, 35 ppt, 600 mM).
What is the density of the sea?Fresh water has a density of 1 g/cm3 at 4 oC (see section 5.1), but adding salts and other dissolved substances raises the density of surface seawater to between 1.02 and 1.03 g/cm3. Seawater's density can be raised by lowering its temperature, raising its salinity, or raising the pressure.Oceans are frequently referred to as "seas" by people. Geographers define a sea as an area of the water that is entirely or partially contained by land.Density can be defined as a substance's weight in relation to its volume. A gramme per millilitre is about how dense water is, however this might vary depending on temperature or the things that are dissolved in it.To learn more about seawater refer to:
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a force is applied to a block sliding along a surface (figure 2). the magnitude of the force is 15 n , and the horizontal component of the force is 4.5 n . at what angle (in degrees) above the horizontal is the force directed? express your answer in degrees to two significant figures.
When a force of size F = 15 N is observed at an angle from the horizontal, its horizontal and vertical components are denoted by F cos and F sin, respectively.
What of the following forces produces zero work when a block slides down a rough horizontal surface?Because the block's motion as well as the direction of the frictional force are in opposition to one another, friction produces negative work. Frictional energy may also be zero. For instance, if we attempt to push an extremely heavy block across a rough surface, the block remains stationary.
What do you call horizontal forces?The cycle's pace tends to slow down due to an opposing force known as air resistance force, which acts in the opposite direction. The pressure as well as the air drag force are both referred to as horizontal forces when the direction is taken into account.
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approximately 5.4 million hybrid passenger vehicles have been sold in the united states since 1999. approximately 1.4 million plug-in electric passenger vehicles have been sold in the united states since 2010. assume the average energy stored in a hybrid vehicle battery is 1.5 kilowatt-hours (kwh ), and assume the average energy stored in a plug-in electric vehicle battery is 45 kwh .
The total energy stored in these vehicles in gigawatt-hours is 57.4 GWh.
Based on the given information, if 80% of the 5.4 million hybrid vehicles sold in the United States since 1999 are still in service, there are approximately 4.32 million hybrid vehicles currently in use. If the average energy stored in a hybrid vehicle battery is 1.5 kilowatt-hours (kWh), this means that the total energy stored in these vehicles is approximately 6.48 gigawatt-hours (GWh).
Similarly, if 90% of the 1.4 million plug-in electric vehicles sold in the United States since 2010 are still in service, there are approximately 1.26 million plug-in electric vehicles currently in use. If the average energy stored in a plug-in electric vehicle battery is 45 kWh, this means that the total energy stored in these vehicles is approximately 57.4 GWh.
Therefore, the total energy stored in the hybrid and plug-in electric vehicles still in service in the United States is approximately 63.88 GWh. This is a significant amount of energy that can be used for transportation and potentially for other energy needs as well.
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the variation of pressure with density in a thick gas layer is given by , where c and n are constants. noting that the pressure change across a differential fluid layer of thickness dz in the vertical z-direction is given as , obtain a relation for pressure as a function of elevation z. take the pressure and density at z
This is a relation for pressure as a function of elevation z.
What is pressure?Pressure is a measure of the force that is applied over a given area. It is expressed in units such as pounds per square inch, atmospheres, or pascals.
Let the pressure at z be denoted by P(z) and the density at z be denoted by ρ(z).
From the given relation, we have
$$\frac{dP}{d\rho}= c\rho^n$$
The given relation for pressure change across a differential fluid layer of thickness dz in the vertical z-direction is given as
$$dP = -g \rho dz$$
where g is the acceleration due to gravity.
Substituting for $dP/d\rho$ in terms of $\rho$ from the first expression and integrating both sides with respect to $z$, we get:
$$P(z) - P(0) = -g \int_0^z \rho^{n+1} dz + C $$
where C is a constant of integration. Since $P(0)$ denotes the pressure at z=0, it can be written as:
$$P(z) = -g \int_0^z \rho^{n+1} dz + P(0) $$
This is a relation for pressure as a function of elevation z.
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Below is an outline of Louis Pasteur's swan-neck flask experiment. What can you conclude from his results? Alr escapes from open end of flask. Microorganisms from air settie in bend. 88=-= Years Hours days 1 Broth storized air escapes Broth allowed to cool slowly- air enters 5 Broth stays store Indefinitely Bacteria multiply in broth 4 Flask tiled so that the sterile broth comes in contact with micro- organisms from air. Spontaneous generation is incorrect Only life can beget life Microbes can be found in the air Vital forces cannot travel up the swan-neck flask. Without it, nothing can survive in the broth Spontaneous generation is still a valid theory. The bacteria in the broth came from the broth itself
The term "spontaneous generation" is erroneous. Only life can give birth to more life. Airborne microbes can be detected.
What is experiment?A scientific experiment is any method that uses measurements and tests to confirm or deny a theory. A hypothesis is a notion that looks to be true but has yet to be confirmed, from which a study might be created. A basic experiment often addresses a "What would happen if...?" cause-and-effect inquiry. For example, you're wondering if misting a plant with water helps it develop faster. You get a sense of how the plant grows without being misted and then compare it to how it grows after being misted.
Here,
The phrase "spontaneous generation" is incorrect. Only life can create more life. Microbes in the air can be detected.
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a student must conduct two experiments so that the inertial mass and gravitational mass of the same object can be determined. in the experiment to find the object's gravitational mass, the student ties one end of a string around the object with the other end tied to a spring scale so that the object can vertically hang at rest. in the experiment to find the object's inertial mass, the student uses a spring scale to pull the object, starting from rest, across a horizontal surface with a constant applied force such that frictional forces are considered to be negligible. in addition to the spring scale, the student has access to other measuring devices commonly found in a science laboratory. which of the following lists the essential measuring devices the student can use to collect the data necessary to find the object's gravitational and inertial mass?meterstick and timer
meterstick, timer, and motion director
meterstick, timer, motion director, and mass balance
meterstick, timer, motion detector, mass balance, and protractor
In order to collect data to find an object's gravitational and inertial mass, meterstick and timer are two essential measuring devices that are needed.
Using the angular frequency value (w), inertial mass (m) is determined using the equation below:
w=√k/m
The equation above is solved for mass (m).
m=k/w²
To calculate the gravitational mass, following equation is used:
force gravity = G × M × m / radius²
Where: mass, m, is 1 kilogram; mass of the Earth, M, is 6.0 × 1024 kilogram; the radius of the Earth (separation of masses), r, is 6.4 × 106 m; and G is 6.67 × 10⁻¹¹ newton square metrekilogram-2}.
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Under what conditions, if any, will the trajectory of a charged particle not follow a field line?
A charged particle will not follow a field line if it is subjected to an external force that is greater than the force of the electric field.
What is electric field?Electric field is an area of influence created by an electric charge. It is a vector field that surrounds a charged particle or object and exerts a force on other charged particles or objects in its vicinity. Electric fields are created by the movement of electrons and protons, which are both components of atoms. The strength of an electric field is determined by the amount of charge present, as well as the distance from the source.
For example, if a charged particle is subjected to a strong magnetic field, it will experience a Lorentz force which can cause the particle to deviate from its original trajectory and follow a curved path instead of following the field line.
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Select all options that predict the next steps that researchers will take after getting these results.repeat the experiment several times perform the study with more subjects test higher doses of the drug on patients recommend the drug to physicians
Following the receipt of these results, researchers will proceed to the control condition.
What is control condition?A condition in an experiment or research design that does not entail exposure to the therapy or intervention being studied. Thus, introducing a control condition helps researchers to compare how things are in the presence of an independent variable to how things would have been if an independent variable had not been present. Participants in an experimental condition are given a treatment or experience, but those in a control condition are not. The major method by which researchers achieve this level of control over extraneous factors across conditions is known as random assignment, which refers to the use of a random procedure to choose which people are evaluated in which situations.
Here,
After receiving these data, researchers will move on to the control condition.
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After release into the synaptic cleft, the neurotransmitter dopamine is actively taken up by the cells via specific dopamine transporters. The drug cocaine interferes with this process and is therefore called a reuptake inhibitor. The inhibition of the transporter at a certain cocaine concentration is qualitatively represented in the following graph. Based on this graph, which of the following describes the effect of cocaine on the kinetics of dopamine reuptake by the transporter?
A) In the presence of cocaine, the maximal rate of transport (Vmax) is unaffected, but the apparent affinity of the transporter for dopamine is reduced.
B) In the presence of cocaine, the maximal rate of transport (Vmax) is reduced, but the apparent affinity of the transporter for dopamine is unaffected.
C) In the presence of cocaine, the maximal rate of transport (Vmax) is enhanced, but the apparent affinity of the transporter for dopamine is unaffected.
D) In the presence of cocaine, both the maximal rate of transport (Vmax) and the apparent affinity of the transporter for dopamine are enhanced.
E) In the presence of cocaine, both the maximal rate of transport (Vmax) and the apparent affinity of the transporter for dopamine are unaffected, but the transporter is nevertheless inhibited.
In the presence of cocaine, maximum transport velocity (Vmax) is unaffected, but the transporter's apparent affinity for dopamine is reduced
Cocaine has psychomotor stimulating effects similar to amphetamines and related compounds. It increases transmitter concentrations at both noradrenergic and dopaminergic synapses and also acts as an anesthetic. Evidence of effects on cellular action potentials suggests that cocaine affects both fast Na+ channels and repolarizing K+, but not Ca2+ channels. Cocaine is not seen to have an affect on Vmax. But it is seen that dopamine transporters decrease its affinity for dopamine in presence of cocaine.
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consider the situation in which the objects collide but do not stick together. which of the following predictions is true about the center of mass of the two-object system immediately after the collision?
The prediction which is true about the center of mass of the two-object system immediately after the collision is option C. does not change.
The distinct location at which weighted precise location of the distributed mass adds to zero at any particular time is known as the centre of mass in physics. Here is where a force can be exerted to produce an accelerometers without also producing an angular momentum.
Momentum is conserved when there is collision among two objects . The ultimate momentum is indeed not zero because the beginning momentum is not. They can't indeed be at ease. One of the objects may be at rest following the collision.
The question is incomplete, find the complete question here
consider the situation in which the objects collide but do not stick together. which of the following predictions is true about the center of mass of the two-object system immediately after the collision?
A. it increases
B. it decreases
C. does not change
D. none of these
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lab manual and Ch. 2.7) Suppose you hold a ball at a height of 10.0 m and drop it from rest. It takes 1.40 seconds to hit the ground. What is your measured value of g? Use correct units and show all work.
Answer: ch2.7 × 10.0m = 2.10 ÷ 1.40 sec
= ch.10.23.
Explanation:
The measured value of gravity 'g' can be found by plugging the given height and time into the formula h = 0.5*g*t^2. Solving for 'g' gives us a measured value of approximately 10.20 m/s^2.
Explanation:You can calculate the measured value of gravity 'g' using the formula for motion under gravity, which is: h = 0.5*g*t^2. Here 'h' stands for height, 'g' for gravitational acceleration and 't' for time.
Given in the problem is h = 10.0 m, t = 1.40 s. Substituting these values in the formula, we get 10.0 = 0.5*g*(1.40)^2.
Solving for 'g', we find g ~ 10.204 m/s^2. Hence your measured value of 'g' is approximately 10.20 m/s^2.
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a student slowly adds mass to the top of block b. when a total mass m0 has been added to the top of block b, block a begins to accelerate across the tabletop. in a clear, coherent, paragraph-length response, explain in terms of the net force on block a why block a remained at rest even as mass was added to block b, but block a accelerates once a total mass m0 was added to block b.
As a result, the thread holding the two objects together is pushing on them both equally strongly but in different directions.
In this problem, a string connects the two objects, transferring the force of one object to the other. The force is exerted in a different direction while remaining the same magnitude by wrapping the string around a pulley. A string links object A and object B. Gravity will cause object B to fall downward, pulling on one end of the string it is attached to in the process. Newton's law of action-reaction predicts that object B will be pulled upward by this lower end of the string. Object A is attached to the string's other end on the opposite end. Object A is being pulled to the right by this end of the string. Item A is pulled upward by the string, and object B is pulled to the right. The pulley has altered the force's direction of application.
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A vertical force of 80 lb acts on the crankshaft
I need to see all work for these not just the steps!
Part A Determine the horizontal equilibrium force P that must be applied to the handle. The bearings are properly aligned and exert only force reactions on the shaft.
Part B Determine the x, y, z components of force at the smooth journal bearing A.
Part C Determine the x, y, z components of force at the thrust bearing B.
x-component: 0 lb (there is no force acting in the x-direction)
y-component: 0 lb (there is no force acting in the y-direction)
z-component: 80 lb (this is the vertical force acting on the crankshaft)
Part C:x-component: -80 lb (this is the horizontal force P that must be applied to the handle in the opposite direction to achieve equilibrium)
y-component: 0 lb (there is no force acting in the y-direction)
z-component: 0 lb (there is no force acting in the z-direction)
CrankShaft Force ComponentsPart A:
To determine the horizontal equilibrium force P that must be applied to the handle, we need to consider the forces acting on the crankshaft. The only force acting on the crankshaft is the vertical force of 80 lb, which means that a horizontal force P must be applied to the handle in the opposite direction in order to achieve equilibrium. Therefore, P = -80 lb (the negative sign indicates that the force is in the opposite direction).
Part B:
The x, y, and z components of force at the smooth journal bearing A are as follows:
x-component: 0 lb (there is no force acting in the x-direction)
y-component: 0 lb (there is no force acting in the y-direction)
z-component: 80 lb (this is the vertical force acting on the crankshaft)
Part C:
The x, y, and z components of force at the thrust bearing B are as follows:
x-component: -80 lb (this is the horizontal force P that must be applied to the handle in the opposite direction to achieve equilibrium)
y-component: 0 lb (there is no force acting in the y-direction)
z-component: 0 lb (there is no force acting in the z-direction)
Note: The above is based on the assumption that the bearings are properly aligned and exert only force reactions on the shaft.
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figure q21.7 shows some of the electric field lines due to three point charges arranged along the vertical axis. all three charges have the same magni- tude. (a) what are the signs of the three charges? explain your reasoning. (b) at what point(s) is the magnitude of the elec- tric field the smallest? explain your rea- soning. explain how the fields produced by each individual point charge combine to give a small net field at this point or points.
The charges q1 and q3 are positive while charge q2 is negative.
The fundamental quantity in electrostatics is electric charge. There are two kinds of charge, positive and negative. Charges of the same sign repel each other; charges of opposite sign attract. Charge is conserved; the total charge in an isolated system is constant.Electric field is a vector quantity, is the force per unit charge exerted on a test charge at any point. The electric field produced by a point charge is directed radially away from or toward the charge.Field lines provide a graphical representation of electric fields. At any point on afield line, the tangent to the line is in the direction of E and at that point. The number of lines per unit area (perpendicular to their direction) is proportional to the magnitude of E and at the point.Electric field lines go away from charge q1 and q3, therefore these charges are positive.
Field line come towards the charge q 2, therefore this charge is negative.
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1.7-3 a polyethylene bar with a diameter d1 5 4.0 in. is placed inside a steel tube with an inner diameter d2 5 4.01 in. (see figure). the polyethylene bar is then compressed by an axial force p. at what value of the force p will the space between the polyethylene bar and the steel tube be closed? for polyethylene, assume e 5 200 ksi and n 5 0.4.
The space between the polyethylene bar and the steel tube will be closed when the applied force P is 476.48 Pounds.
What is Hooke's Law?Hooke's Law is a principle in physics that describes the relationship between the applied force on an object and the resulting deformation of that object. The law states that, within the elastic range of deformation, the magnitude of the deformation (strain) is directly proportional to the magnitude of the applied force (stress).
To determine the force P at which the space between the polyethylene bar and the steel tube is closed, the relationship between the applied force and the resulting deformation of the polyethylene bar needs to be known. Since the polyethylene bar is in the elastic range of deformation, Hooke's Law can be used.
The deformation of the bar is given by:
δ = (Pd1) / (2πE(d1/2) ²)
Where:
δ = deformation (inches)
P = applied force (pounds)
d1 = diameter of the polyethylene bar (inches)
E = modulus of elasticity of the polyethylene (ksi)
The space between the polyethylene bar and the steel tube is closed when the deformation of the bar is equal to the difference in the inner diameters of the two tubes:
δ = d2 - d1
By substituting the given values and solving for P, the force at which the space between the polyethylene bar and the steel tube is closed can be found.
P = (2πE(d1/2)²×(d2-d1)) / d1
P = (2π200(4/2)² × (4.01-4)) / 4 = 476.48 Pounds
Therefore, the space between the polyethylene bar and the steel tube will be closed when the applied force P is 476.48 Pounds.
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Homework and les...
A charged particle, labeled A, is located at the midpoint between
two other charged particles, labeled B and C, as shown. Particles
B and C are fixed in place (they cannot move). The sign of the
charges on all three particles is the same. When particle A is
released, it starts drifting toward C. What can be determined
from this behavior?
A
The charge on A is larger than the charge on B.
The charge on A is
larger than the charge on C.
The charge on B is larger than the charge on C.
The charge on C is larger than the charge on B.
The charge on B is larger than the charge on A.
B
A mass is attached to a vertical spring and set into vibration. The highest point of the motion is Point A and the lowest point of the motion is Point B. At what position or positions in its motion is the object's potential energy at a maximum? (Consider the potential energy of the mass-Earth-spring system.)
Midway between A and B is the position in its motion when is the object's potential energy at a maximum.
A body's mass is an inherent quality. Before the understanding of the atom and particle physics, it was widely considered to be tied to the amount of matter present in a physical body. A body's mass doesn't quite alter at any point in time.
Simply put, a mass-Earth-spring system is a spring device with a block hanging or fastened to the open end of the spring. The duration of any item moving in a simple harmonic motion may typically be determined using this system.
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in coming to a stop, an old truck leaves skid marks 45 m long on the highway. assuming a deceleration of 6m/s2 , estimate the speed of the truck just before braking.
The speed of the truck just before braking is 23.24 m/s.
What is the speed of the clock before braking?
The speed of the truck before braking is calculated by applying the third kinematic equation as shown below.
v² = u² - 2as
where;
v is the final velocity of the truck when it stopsa is the acceleration of the trucks is the distance travelled by the truckWhen the truck stops, the final velocity = 0
0 = u² - 2as
u² = 2as
u = √2as
u = √ ( 2 x 6 x 45 )
u = 23.24 m/s
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two securities that have different risks and returns?a. standard deviationb. coefficient of variation
For the two securities that have distinct risks and returns, the appropriate measure is the A: standard deviation.
A standard deviation (symbol σ) is a measure of how disseminated the data is in relation to the mean. A low standard deviation indicates that data are clustered around the mean; while a high standard deviation shows that data are more spread out.
Standard deviation is used to measure and compare the two securities that have distinct risks and returns. So option A: standard deviation is the correct answer.
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