When the puck has descended to a height of R/2, it no longer makes touch with the sphere.
To solve this problem, we can use the conservation of mechanical energy. Initially, the mass is at rest and has only potential energy, which is given by mgh, where m is the mass of the puck, g is the acceleration due to gravity, and h is the height of the puck above the ground. When the puck slides down the sphere, it loses potential energy and gains kinetic energy, which is given by [tex](\frac{1}{2}mv^2)[/tex], where v is the velocity of the puck. However, as the puck slides down the sphere, it also experiences a normal force from the sphere, which reduces the force of gravity and affects the speed of the puck.
Let's start by finding the normal force on the puck. At the top of the sphere, the normal force is equal to the weight of the puck, which is mg. As the puck slides down the sphere, the normal force decreases until it reaches zero when the puck loses contact with the sphere. At this point, the gravitational force is equal to the centrifugal force, which is mv^2/R, where R is the radius of the sphere.
Setting these forces equal, we get:
[tex]mg = \frac{mv^2}{R}[/tex]
Simplifying, we get:
[tex]v^2 = gR[/tex]
Now we can use conservation of mechanical energy to find the height at which the puck loses contact with the sphere. At this point, all the potential energy has been converted into kinetic energy, so we have:
[tex]mgh = (\frac{1}{2})mv^2[/tex]
Substituting [tex]v^2 = gR[/tex], we get:
[tex]h = R(1 - \frac{1}{2}) = \frac{R}{2}[/tex]
Therefore, the puck loses contact with the sphere when it has fallen to a height of R/2.
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a stationary source of sound has a fundamental frequency of 500 hz. what frequency will you hear when you are approaching the source of sound at 20 m/s? the speed of sound is 340 m/s.
The frequency you will hear when you are approaching a stationary source of sound at 20 m/s is 537 Hz.
What is the fundamental frequency of sound?
The fundamental frequency of sound is the lowest frequency produced by a vibrating object or sound source.
What is the speed of sound? The speed of sound is the distance covered by a sound wave per unit of time.
The given values are as follows:
frequency of sound = 500 Hz
speed of sound = 340 m/s
velocity of the observer = 20 m/s
Formula to find the frequency heard by the observer
The formula for finding the frequency of a sound wave observed by a moving observer is:
[tex]f\prime = \frac{f \times (v + v_o)}{(v - v_S)}[/tex]
Where, f' is the frequency observed
v is the speed of sound
f is the frequency of the sound source
[tex]v_S[/tex] is the velocity of the sound source
v₀ is the velocity of the observer
Substituting the given values into the above formula, f' = [tex]\frac{500 \times (340 + 20)}{(340 - 20)}
Hence, f' = 537 Hz
Therefore, when you are approaching the source of sound at 20 m/s, you will hear a frequency of 537 Hz.
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Help as fast as you can please
Therefore, the components of vector M are approximately Mx = 3.98 and My = 3.02.
How to calculate vector of components ?
The vector M has a magnitude of 5.0 and a direction of 37.0° with respect to the x-axis, as seen in the attached figure.
The cosine of the angle between vector M and the x-axis can be used to determine the x-component of vector M:
Mx = 5.0 cos(37.0°) 3.98, where Mx = M cos(37.0°)
The sine of the angle between vector M and the x-axis can be used to calculate the y-component of vector M:
M sin(37.0°) = 5.0 sin(37.0°) 3.02; My = M sin(37.0°)
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Jodi made a list about electric current to help her study for a test. 1) Movement of electrons is continuous in a current. 2) Electrons move from areas of low to high electric potential. 3) Voltage causes current to flow. 4) Rate at which current flows is measured in amperes. Which best describes Jodi’s error?
The best description of Jodi's error is "The electrons move from areas of low to high electric potential." because the electrons actually move from areas of high to low electric potential. thus option 2 is the answer.
Jodi's error is in statement 2, which says that electrons move from areas of low to high electric potential. In reality, electrons move from areas of high to low electric potential. This is because electric potential represents the energy per unit charge, and electrons are negatively charged particles that naturally move from higher energy levels to lower ones. The direction of electron flow determines the direction of electric current, which is the flow of electric charge. The other statements on Jodi's list are generally correct, including the fact that voltage (or potential difference) is what drives current flow, and that current is measured in amperes.
However, it's important to note that the movement of electrons in a current is not always continuous, as they can be impeded by resistance, which causes them to lose energy and generate heat.
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The correct question Is:
Jodi made a list about electric current to help her study for a test.
1) Movement of electrons is continuous in a current.
2) Electrons move from areas of low to high electric potential.
3) Voltage causes current to flow.
4) Rate at which current flows are measured in amperes.
Which best describes Jodi’s error?
The movement of electrons is not always continuous.
Electrons move from areas of high to low electric potential.
Resistance causes current to flow.
The rate at which current flows is measured in ohms.
how is scientifical learn done and disuss
Answer:
The six steps of the scientific method include: 1) asking a question about something you observe, 2) doing background research to learn what is already known about the topic, 3) constructing a hypothesis, 4) experimenting to test the hypothesis, 5) analyzing the data from the experiment and drawing conclusions, and 6) communicating the results to others.
the diagram provided shows a straight wire carrying a current between the poles (north and south) of a permanent magnet. in what direction is the magnetic force experienced by the wire?
In accordance with Fleming's left-hand rule, the wire tends to travel perpendicular to the plane of the paper upward when the magnetic field is directed from N-pole to S-pole.
How could one determine, just from qualitative observations, the direction of the magnetic force acting on a straight wire carrying a current?Curling your fingers and directing your right thumb in the direction of the wire's current will help you find it. Your fingers will curl in the same direction due to the magnetic field surrounding the wire.
What does magnetic field mean when a current is flowing through a straight conductor?Certain magnetic field characteristics Straight current-carrying conductor lines: Around the conductor, it creates concentric circles. It is situated in a plane parallel to conductor.
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mike has a linear production possibilities frontier that shows maximum production of trucks or computers of 10 million each. debra also has a linear production possibilities curve that shows maximum production of 9 million trucks or 3 million computers.
Mike and Debra both have linear production possibilities frontiers (PPF), which show the maximum amount of two goods that can be produced given their resources and technology. However, their PPFs are different because they have different maximum production levels for trucks and computers.
Mike's PPF shows that he can produce a maximum of 10 million trucks or 10 million computers. This means that if he allocates all of his resources to producing trucks, he can produce 10 million of them, and if he allocates all of his resources to producing computers, he can produce 10 million of them. Debra's PPF, on the other hand, shows that she can produce a maximum of 9 million trucks or 3 million computers. This means that if she allocates all of her resources to producing trucks, she can produce 9 million of them, and if she allocates all of her resources to producing computers, she can produce 3 million of them.
Overall, Mike and Debra's PPFs show the trade-offs they face when deciding how to allocate their resources between producing trucks and computers. They must decide how much of each good to produce in order to maximize their production and meet their needs.
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as a van travels along a level stretch of road with constant speed, most of the power developed by the engine is used to compensate for the energy transformations due to friction forces exerted on the van by the air and the road. if the power developed by the engine is 2.01 hp, calculate the total friction force acting on the van (in n) when it is moving at a speed of 28 m/s. one horsepower equals 746 w.
When travelling at a speed of 28 m/s, the van experiences a total amount of friction force of 748 N.
Calculate the van's overall friction force (measured in N) at a speed of 28 m/s with an engine that produces 2.01 horsepower.
Engine power is calculated as
P = 2.01 hp, or 2.01 x 746, or 1502.46 W.
Van's top speed is 28 m/s.
The van's total work is equal to its change in kinetic energy, according to the work-energy theorem.
Hence, total work completed = Change in kinetic energy (K) -Change in kinetic energy (K)
= [tex](1/2) m (vf_2 - vi_2)[/tex] = [tex](1/2) m v^2[/tex]
where m is the van's mass
([tex]v_f[/tex]) = The van's final speed
([tex]v_i[/tex] )= The van's initial speed
As a result, the van is subject to a 748 N friction force (approx.). So, at a speed of 28 m/s, the van experiences a total friction force of 748 N.
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Two capacitors 22 μF and 64 μF are connected to a 100-V source. 1. Required information Find the energy stored in each capacitor if they are connected in parallel The energy stored in each capacitor is W22 = O mJ. m J and w64 = Two capacitors 22 μ F and 64 μ F are connected to a 100-V source 2. Required information Find the energy stored in each capacitor if they are connected in series. The energy stored in each capacitor is w22mJ and w64mJ
When two capacitors 22 μF and 64 μF are connected to a 100-V source, the energy stored in each capacitor is different depending on whether the capacitors are connected in parallel or in series. When connected in parallel, the energy stored in each capacitor is 0.0022 mJ and 0.0064 mJ respectively. When connected in series, the energy stored in each capacitor is also 0.0022 mJ and 0.0064 mJ respectively.
To answer the question of finding the energy stored in two capacitors 22 μF and 64 μF when connected to a 100-V source, first we need to determine if the capacitors are connected in parallel or series. When two capacitors are connected in parallel, the total capacitance is the sum of the individual capacitances.
Therefore, for two capacitors 22 μF and 64 μF connected in parallel, the total capacitance is 86 μF. The energy stored in each capacitor can be found using the formula W = ½CV2, where C is the capacitance and V is the voltage. For the 22 μF capacitor, W22 = 0.5 * 22 * 10-6 * (100)2 = 0.0022 mJ. Similarly, for the 64 μF capacitor, W64 = 0.5 * 64 * 10-6 * (100)2 = 0.0064 mJ.
When two capacitors are connected in series, the total capacitance is the reciprocal of the sum of the reciprocals of the individual capacitances. Therefore, for two capacitors 22 μF and 64 μF connected in series, the total capacitance is 4.3 μF.
The energy stored in each capacitor can be found using the same formula W = ½CV2. For the 22 μF capacitor, W22 = 0.5 * 22 * 10-6 * (100)2 = 0.0022 mJ. Similarly, for the 64 μF capacitor, W64 = 0.5 * 64 * 10-6 * (100)2 = 0.0064 mJ.
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Use the diagram and the drop-down menu to answer the question.
If bulb C burns out, what will happen to bulbs A and B
Answer: They both will go out
Explanation:
a particle with charge 18 nc travels from an equipotential line with 46 volts to another equipotential with 10 volts as part of miss frizzle's science experiment of the day for her students. what is the change in potential energy of the system during this time interval? answer in nj (nano-joules) to the nearest nj.
The change in potential energy of the system during this time interval is -648 nJ.
The change in potential energy of a particle with charge q that moves from a point with potential V1 to a point with potential V2 is given by:
ΔPE = q x (V2 - V1)
where q is the charge of the particle, and
V2 and V1 are the potentials at the final and initial positions.
Therefore, the charge of the particle is 18 nC, and it moves from a point with potential V1 = 46 V to a point with potential V2 = 10 V.
Therefore, the change in potential energy is:
ΔPE = q x (V2 - V1) = 18 nC x (10 V - 46 V) = -648 nJ
The negative sign indicates that the potential energy of the particle has decreased, which means that the particle has lost potential energy as it moved from the point with higher potential to the point with lower potential.
Therefore, the change in potential energy of the system during this time interval is -648 nJ
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The 0. 20 kg puck on the frictionless, horizontal table in the figure is connected by a string through a hole in the table to a hanging 1. 20 kg block. With what speed must the puck rotate in a circle of radius r = 0. 40 m if the block is to remain hanging at rest?
The puck must rotate with a speed of 3.44 m/s to keep the hanging block at rest.
To keep the hanging block at rest, the tension in the string must be equal to the weight of the block. We can start by finding the tension in the string using the weight of the hanging block:
T = mg = (1.20 kg)(9.81 m/s^2) = 11.77 N
The tension in the string provides the centripetal force that keeps the puck moving in a circle. The centripetal force is given by:
F = ma = m(v^2/r)
where m is the mass of the puck, v is its speed, r is the radius of the circle, and a is the centripetal acceleration.
Solving for v, we get:
v = sqrt(ra) = sqrt(r(T/m)) = sqrt((0.40 m) × (11.77 N)/(0.20 kg)) = 3.44 m/s
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*100 points* How does the bending of light depend on the two media and what is the mystery medium A? (This is a project where you have to find what medium A is, and use Snells law to calculate it)
The bending of light as it passes from one medium to another is governed by Snell's law, which depends on the indices of refraction of the two media and the angle of incidence
The bending of light as it travels from one medium to another is described by Snell's law, which states that the ratio of the sines of the angles of incidence and refraction is equal to the ratio of the indices of refraction of the two media:
n1 sin(theta1) = n2 sin(theta2)
where n1 and n2 are the indices of refraction of the two media, theta1 is the angle of incidence (the angle between the incident ray and the normal to the interface between the two media), and theta2 is the angle of refraction (the angle between the refracted ray and the normal).
The index of refraction of a medium is a measure of how much the speed of light is reduced when it travels through that medium compared to its speed in a vacuum.
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Describe a complex (non-electrical) machine that you enjoy using? What makes it a complex machine, rather than a simple machine?
A simple machine is that a complex machine is made up of multiple simple machines that work together to perform a complex task.
One example of a complex machine is a car. A car is a complex machine because it consists of many simple machines that work together to perform a complex task. The simple machines in a car include the wheel and axle, pulleys, gears, levers, and inclined planes.
The engine in a car is a complex machine that converts the chemical energy of gasoline into the kinetic energy needed to move the car. The engine is made up of many simple machines, including pistons, cylinders, valves, and crankshafts. The transmission is another complex machine in a car that uses gears and levers to transfer power from the engine to the wheels.
Other components of a car, such as the steering system, brakes, and suspension, are also complex machines that use multiple simple machines to perform their functions.
What distinguishes a complex machine from a simple machine is that a complex machine is made up of multiple simple machines that work together to perform a complex task. In contrast, a simple machine performs a single task using only one or two basic mechanisms, such as the lever or the inclined plane.
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COLOR LOCK-Arrange Letters in an order (First Letter Only - R = Red, B = Blue,
Brown, Black, Y = Yellow, etc. ) (ALL CAPS)
Help
The colors of the rainbow are red, orange, yellow, green, blue, indigo, and violet, thus B, R is really the correct sequence since B is BLACK, BLUE, BROWN, R is RED, and Y is their hue.
What letter comes first in number order for each color?
The mnemonic scheme ROYGBIV, whereby each character stands for the initial letter of both the primary colours, is the most effective approach to recall the rainbow's color sequence. As example, R stands for red, O for orange, Y for yellow, etc.
The color wheel depicts every hue that may be seen. It is the accepted method for perceiving and comprehending color schemes. The first color wheel was made by Sir Isaac Newton in 1666, and it was arranged in the order of the hues that can be seen in the spectrum of light that is visible (red, orange, yellow, green, blues, indigo, and violet).
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To weigh a fish, a person hangs a tackle box of mass 3. 5 kilograms and a cooler of mass 5 kilograms from the ends of a uniform rigid pole that is suspended by a rope attached to its center. The system balances when the fish hangs at a point 1/4 of the rod's length from the tackle box. What is the mass of the fish?
A) 1. 5 kg
B) 2 kg
C) 3 kg
D) 6 kg
E) 6. 5 kg
The mass of the fish is 3 kg.
What is mass?
In physics, mass is a proportion of how much matter is in an item. It is typically estimated in kilograms (kg). Mass is a scalar amount, meaning it just has size and no course.
Mass is unique in relation to weight, which is the force applied to an item because of gravity. Mass is an inherent property of an item and doesn't rely upon its location or environment. Weight, then again, relies upon the gravitational force and can change depending on the location.
rotational equilibrium
(3.5 )(9.8)(L/2) + m(9.8)(L/4) - (5)(9.8)(L/2) = 0
34.3(L/2)+9.8m(L/4)- 49(L/2)=0
34.3(L/2)- 49(L/2)+9.8m(L/4)=0
-14.7(L/2)+9.8m(L/4)=0
-7.35L+2.45mL=0
2.45mL=7.35L
m=7.35L/2.45L
m = 3 kg.
thus mass of the fish is 3 kg.
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need help asap pleasee
Answer:
I think it's moving towards the reference point
Someone please help me!! Thanks so much i highly appreciate it
A cross-sectional area of the wire could conduct 2.00 C of charge in 400 seconds.
What is the rate at which a wire's cross sectional area conducts charge per second?The amount of charge moving through a cross-section of a circuit in a certain amount of time is known as current. The ampere's definition is The ampere is the commonly used current unit in mathematics (abbreviated Amp or A).
We can use the formula: Q = I * t
Q stands for charge, I for current, and t for time. To solve for t, we obtain: t = Q / I
By entering the specified values, we obtain:
t = 2.00 C / 5.00 mA
To preserve consistent units, we must convert milliamperes (mA) to amperes (A). To accomplish this, divide by 1000., since 1 mA = 0.001 A.
Thus: t = 2.00 C / (5.00 mA / 1000)
Simplifying, we get:
t = 2.00 C / 0.005 A
t = 400 s
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Three point charges have equal magnitudes and are located on the same line. The separation d between A and B is the same as the separation between B and C. One of the charges is positive and two are negative, as the drawing shows. Consider the net electrostatic force that each charge experiences due to the other two charges. Rank the net forces in descending order (greatest first) according to magnitude. A. A, B, C b. B, C, A c. A, C, B d. C, A, B e. B, A, C
The proper order of the net forces is A, B, and C in decreasing order of magnitude.
Let's consider the net electrostatic force that each charge experiences due to the other two charges:
Charge A experiences a force towards the right due to the repulsion with Charge B, and towards the left due to the attraction with Charge C. As both charges are of the same magnitude, these two forces cancel each other out, and there is no net force on Charge A.
Charge B experiences an attraction towards the left due to Charge A, and a repulsion towards the right due to Charge C. As both charges are of the same magnitude, these two forces cancel each other out, and there is no net force on Charge B.
Charge C experiences a force towards the left due to the attraction with Charge B, and towards the right due to the repulsion with Charge A. As both charges are of the same magnitude, these two forces cancel each other out, and there is no net force on Charge C.
Therefore, the correct ranking of the net forces in descending order of magnitude is: A, B, C.
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In the circuit, the lamp is rated at 4 volts and 0. 5 watts. What size resistor must r1 be in order to supply the correct current to this lamp?
For the 4-volt, 0.5-watt lamp to receive the proper power, R1 should be 48 ohms.
To find the required resistance of R1, we need to use Ohm's law, which states that the current (I) flowing through a circuit is equal to the voltage (V) divided by the resistance (R), i.e., I = V/R.
First, we need to determine the current that the lamp requires. The power (P) of the lamp is given by P = IV, where I is the current flowing through it, and V is its voltage rating. We know that the power of the lamp is 0.5 watts and its voltage rating is 4 volts. Substituting these values, we get:
0.5 = I * 4
Solving for I, we get:
I = 0.5/4 = 0.125 amps
Now, we can use the current value to determine the resistance of R1 using Ohm's law. We know that the voltage drop across R1 is 6 volts (the total voltage of the battery minus the voltage of the lamp). Substituting the values of I and V into the formula, we get:
R1 = V/I = 6/0.125 = 48 ohms
Therefore, R1 should be 48 ohms to supply the correct current to the 4-volt, 0.5-watt lamp.
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which statement below is false? responses a weight depends on the force of gravity.weight depends on the force of gravity. b weight is a constant no matter where you are located.weight is a constant no matter where you are located. c mass is a constant no matter where you are located.mass is a constant no matter where you are located. d mass is the amount of matter in an object.
Answer:
(b) is false - a person on the moon would weight about 1/6 of the person's weight on earth - this is due to the smaller gravitational attraction of the person's mass even tho the mass is the same
The statement that is false is "b. weight is a constant no matter where you are located." Statements a, b and c are all true.
This is because weight is a measure of the force of gravity on an object, and the force of gravity varies depending on where you are located.
For example, an object will weigh less on the moon than it does on Earth because the force of gravity is weaker on the moon.
In contrast, mass is a measure of the amount of matter in an object and does not change depending on location.
Therefore, statements "a. weight depends on the force of gravity," "c. mass is a constant no matter where you are located," and "d. mass is the amount of matter in an object" are all true.
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Two cars are moving in the same direction. If the velocity of the first car is 55m/s & that of the second car is 40 m/s, calculate the relative velocity of the first car second car. If they were moving in the opposite direction, what would be the relative with respect to the velocity? Calculate.
(a) The relative velocity of the second car with respect to the first car is -15 m/s.
(b) The relative velocity of the second car with respect to the first car is 95 m/s when they are moving in opposite directions.
What is the relative velocity of the cars?When two objects are moving in the same direction, the relative velocity of the second object with respect to the first object is the difference between their velocities:
Relative velocity = Velocity of the second car - Velocity of the first car
Relative velocity = 40 m/s - 55 m/s
Relative velocity = -15 m/s
When the two cars are moving in opposite directions, the relative velocity of the second car with respect to the first car is the sum of their velocities:
Relative velocity = Velocity of the first car + Velocity of the second car
Relative velocity = 55 m/s + 40 m/s
Relative velocity = 95 m/s
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A figure skater spins at 2 revolutions per second with her arms outward, a position in which her moment of inertia about her axis of rotation is 0. 4 kg m2. By pulling her arms inward, she is able to increase her rate of spinning to 12 revolutions per second. Calculate her rotational kinetic energy after she has pulled her arms inward
The figure skater increases the speed of her spin to 10 revolutions per second by drawing her arms inside.
The speed of the skater's spin drops by a factor of two as she spreads her arms out in front of her, doubling the moment of inertia. She dramatically reduces her inertia moment while folding her wrists in, resulting in a considerable increase in rotational velocity.
When does a speedskater reach a point of inertia?
During skating, the skater's mass is measured in terms of how far it extends from the axis around the direction that he or herself is spinning. This is known as the inertia moment, or moment of inertia The magnitude of its moment of inertia increases with distance from the axis. The force required to halt a moving item is measured by momentum.
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the mechanical advantage of a pulley that requires 20 N of force to lift a 90 N box. here the answer choices 45, 4.5 , and 0.2
Answer:
Explanation:
The mechanical advantage (MA) of a pulley is defined as the ratio of the output force (the force exerted by the pulley system) to the input force (the force applied to the pulley system).
In this case, the input force is 20 N, and the output force (the force needed to lift the box) is 90 N. Therefore, the mechanical advantage of the pulley can be calculated as:
MA = output force / input force
MA = 90 N / 20 N
MA = 4.5
So the mechanical advantage of the pulley is 4.5. This means that for every 1 N of force applied to the pulley system, the pulley system can lift 4.5 N of weight.
The ratio of the output force to the input force is used to calculate the mechanical advantage of a pulley system. In this case, the Mechanical Advantage of the pulley used to lift a 90N box with 20N of force is 4.5.
Explanation:The Mechanical Advantage (MA) of a machine is calculated by the ratio of output force (the force exerted by the machine) to the input force (the force applied on the machine). In this case, the output force is the weight of the box which is 90N, and the input force is the force required to lift the box which is 20N. Therefore, the mechanical advantage is calculated as MA = Output Force/Input Force = 90N/20N = 4.5. So, the Mechanical Advantage of the pulley system used to lift the box is 4.5.
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The position of a particle moving along the x axis with a constant acceleration may be determined from the expression x(t) = b + c(t - 2 s), where b = 2.00 m, c = 9.00 m/s, and x will be in meters when t is in seconds. Determine the following. (Where applicable, indicated direction with the sign of your answer.) (a) position, velocity, and speed of the particle at the time t = 0 s (Enter your answers to at least one decimal place.) position x(t = 0 ) = ____ m/svelocity v(t = 0 ) = ____ m/s peed v(t = 0 s) = ____ m/s
The speed of the particle at t = 0 s is 9.00 m/s. The position of the particle at t = 0 s is -16.00 m.
The position, velocity, and speed of the particle at the time t = 0 s can be determined by substituting t = 0 into the given expression for x(t) and taking the first and second derivatives of x(t) with respect to time.
(a) Position at t = 0 s:
x(t) = b + c(t - 2 s)
x(t = 0) = 2.00 m + 9.00 m/s(0 - 2 s)
x(t = 0) = 2.00 m - 18.00 m
x(t = 0) = -16.00 m
(b) Velocity at t = 0 s:
v(t) = dx/dt = c
v(t = 0) = 9.00 m/s
The velocity of the particle at t = 0 s is 9.00 m/s.
(c) Speed at t = 0 s:
The speed of the particle is the absolute value of the velocity, so:
v(t = 0) = |9.00 m/s| = 9.00 m/s
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What is the difference between energy transfer and energy store? I need proper explanation please!?
Energy transfer is the movement of energy from one location to another. ... Energy transformation is when energy changes from one form to another – like in a hydroelectric dam that transforms the kinetic energy of water into electrical energy.
Energy transfer in physics refers to the movement of energy from one object or system to another. Energy can take various forms such as kinetic energy, potential energy, thermal energy, electromagnetic radiation, and chemical energy, among others. The transfer of energy can occur through different mechanisms such as work, heat, and radiation.
Work is the transfer of energy that occurs when a force acts on an object and causes it to move a certain distance. Heat transfer is the flow of energy from a hotter object to a cooler object, driven by a temperature difference between the two objects. Radiation is the transfer of energy in the form of electromagnetic waves or particles. Energy transfer is a fundamental concept in physics as it governs many natural phenomena such as heat flow, electrical power generation, and energy conversion in machines.
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A horizontal pipe of diameter 0.945 m has a smooth constriction to a section of diameter 0.567 m. the density of oil flowing in the pipe is 821 kg/m° if the pressure in the pipe is 8940 n/m° and in the constricted section is 6705 n/m?, what is the rate at which oil is flowing?
If the pressure in the pipe is 8940 n/m° and in the constricted section is 6705 n/m, the rate at which oil is flowing through the pipe is 2.74 m^3/s.
The volume flow rate (Q) can be expressed as:
Q = Av
We can use the continuity equation to relate the velocities at the two different cross-sectional areas:
A1v1 = A2v2
Where:A1 and A2 are the cross-sectional areas at the two different points in the pipe
v1 and v2 are the fluid velocities at the two different points in the pipe
We can rearrange this equation to solve for v1 in terms of v2:
v1 = (A2/A1) * v2
Now we can use Bernoulli's equation to relate the pressure and velocity at the two different points in the pipe:
P1 + (1/2)ρv1^2 = P2 + (1/2)ρv2^2
We can rearrange this equation to solve for v2:
v2 = sqrt(2(P1 - P2) / ρ + v1^2)
Now we can plug in the given values to find v2:
v1 = ?
A1 = (π/4)(0.945 m)^2 = 0.664 m^2
A2 = (π/4)(0.567 m)^2 = 0.100 m^2
ρ = 821 kg/m^3
P1 = 8940 N/m^2
P2 = 6705 N/m^2
v2 = sqrt(2(8940 - 6705) / 821 + ((0.100/0.664) * v1)^2)
We can simplify this equation by assuming that the velocity at the wider section of the pipe (v1) is much smaller than the velocity at the constriction (v2), due to the principle of continuity. Therefore, we can neglect the second term in the equation, giving:
v2 = sqrt(2(8940 - 6705) / 821) = 11.98 m/s
Now we can use the continuity equation to find the volume flow rate:
Q = A1v1 = A2v2 = (π/4)(0.945 m)^2 * 11.98 m/s =2.74 m^3/s
Therefore, the rate at which oil is flowing through the pipe is 2.74 m^3/s.
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Compute the THR of the following
A THR (Total Home Run) is a statistic that measures the total number of home runs a baseball player has hit during a season or career. It is calculated by adding up all of the home runs a player has hit in a season.
What is statistic ?Statistic is a branch of mathematics which deals with the collection, analysis and interpretation of numerical data. It is used to help make inferences and decisions about a population by studying a sample of that population. It is a way to summarize the information and draw conclusions about the population based on the sample data. Statisticians use various techniques such as data mining, hypothesis testing and regression analysis to draw meaningful conclusions from the data.
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Pls help! Could you guys verify if the correct answer is B because of the v^2? See the attached image below :)
Answer:
It could either be b, or d, Your choice! (hint: I know the answer but pick one)
How much work is done by an engine to accelerate an
800 kg vehicle from 10 m/s to 20 m/s?
We are unable to directly determine the work performed by the engine because the distance over which the force acts is unknown.
What work is involved in accelerating an 800 kg automobile from 5 meters per second to 10 meters per second?This indicates that the effort expended to increase the car's speed will be equivalent to the change in kinetic energy of the vehicle. Thus, 30 kJ of effort must be performed.
What is the recipe for getting stuff done?The work W is equal to the force f times the distance d, or W = fd, to mathematically describe this idea.
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please help me
sub -physics, topic-laws of motion
The maximum angular speed of the turntable to avoid slipping is option (2), √(µg/x).
How to determine angular speed?The maximum angular speed of the turntable can be found by equating the centrifugal force with the frictional force acting on the block.
At maximum angular speed, the centrifugal force acting on the block is given by F = mRω², where R = x is the distance of the block from the center and ω is the angular speed of the turntable.
The frictional force acting on the block is f = µN, where N is the normal force on the block.
At maximum angular speed, the normal force N is equal to the weight of the block, N = mg.
Equating the centrifugal force and the frictional force:
mRω² = µN
mRω² = µmg
ω² = µg/R
ω = √(µg/R)
Substituting R = x:
ω = √(µg/x)
Therefore, the maximum angular speed of the turntable so that the block does not slip is given by √(µg/x).
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