The total mechanical energy of the block-earth system remains constant, and the total mechanical energy of the system containing only the block increases from the moment of release to the moment it hits the ground.
What is mechanical energy?Mechanical energy is energy associated with the motion and position of an object. It is the sum of both the kinetic energy, which is energy associated with the object's motion, and the potential energy, which is energy associated with the object's position. Mechanical energy is present in a variety of forms, including kinetic energy, potential energy, heat, and elastic energy. Mechanical energy is converted into other forms of energy, such as thermal energy, electrical energy, and chemical energy. Mechanical energy can be used to do work, such as turning a crank to lift a heavy object, and can be harnessed to power machines and devices. Mechanical energy is an important concept in physics and engineering, as it can be used to analyze the motion and behavior of objects, and to develop solutions to problems.
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two Casa distance to kilometer apart on a straight line if they are moving towards each other at 10 km per hour in 30 km per hour respectively how long it does say take to reach at their passing point
The four different forms of speed are as follows: uniform speed. variable rate Typical rate.
What is the meaning of relative speed?The speed of one moving body in relation to another is known as relative speed. When two bodies are moving in the same direction, their difference is used to calculate their relative speed. The relative speed, however, is determined by summing the speeds of the two bodies when they are going in the opposite direction.Speed is a talent. It takes a lot of technical expertise to constantly use one's body's capabilities to its fullest capacity.Velocity, as opposed to speed, refers to the pace and direction of an object's movement as it moves down a path. In other words, whereas velocity is a vector, speed is a scalar quantity.To learn more about speed refer to:
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In physics, the amount of work done on an object is the product of ______________.
Answer:
In physics, the amount of work done on an object is the product of the force applied to the object and the distance over which the force is applied, also known as the force's displacement. Mathematically, it is represented as W = F * d.
Explanation:
a steel pad supporting heavy machinery rests on four short, hollow, cast iron piers (see figure). the ultimate strength of the cast iron in compression is 50 ksi. the outer diameter of the piers is d 5 4.5 in., and the wall thickness is t 5 0.40 in. using a factor of safety of 3.5 with respect to the ultimate strength, determine the total load p that can be supported by the pad.
Respect to the ultimate strength, determine the total load p=294k that can be supported by the pad.
What is meant by strength?
Strength is frequently described as "the maximal force that a muscle or set of muscles can exert during a single contraction."Positive character characteristics or abilities are referred to as strengths. Knowledge, characteristics, abilities, and talents are examples of strengths. In contrast, weaknesses are shortcomings.Your strengths should typically be abilities that are reinforced by experience. If communication is one of your strengths, for instance, think back to a time when you used it to accomplish a task or solve a problem.Self-motivation, listening skills, and the ability to do tasks correctly and swiftly are some of my strongest traits.σ U =50ksi
n=3.5
σ allow = nσ /U = 50ksi/3.5 =14.29ksi
d=4.5in.
t=0.4in.
[tex]d_{0}[/tex] =d−2t=3.7in.
A= π/4 [tex](d^{2} -d^{2} _{0})[/tex] = π/4[[tex](4.5in.)^{2} (3.7in.) ^{2}[/tex] ]=5.152[tex]in.^{2}[/tex]
P 1 = allowable load on one pier
P 1 =σ allowA =(14.29ksi)(5.152[tex]in.^{2}[/tex])=73.62k
Total load P = [tex]4P_{1}[/tex]=294k
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The capacitance of an empty capacitor is 12 µF. The capacitor is then connected to a 12 V battery and charged up. With the capacitor connected to the battery, a slab of dielectric material is inserted between the plates. As a result, 2.5 x 10-5 C of additional charged flow from one plate, through the battery, and on to the plate. What is the dielectric constant, &, of the material?
The dielectric constant is 2.11
What does the term "capacitance" mean?Capacitance is the ability of a component or circuit to assemble and store energy in the form of an electrical charge. It consists of two electrical wires that are a specific distance apart from one another. The void between the conductors can be filled with vacuum or a dielectric, an insulating material. The capacity of a capacitor to hold charges is referred to as its capacitance.
Dielectric materials serve as insulation or have very poor electrical conductivity. Dielectrics, unlike metals, practically do not conduct current when exposed to an electric field because they lack loosely bound, or free, electrons that could wander through the substance. Instead, there is electrical polarisation.
The capacitance of the empty capacitor ,C1 = 12µF = 12*10^-6F
Battery voltage= 12 V
charge, Q2= 2.5 x 10-5 C
Initial charge ,Q1 = C1V1
= 12* 12*10^-6
= 224 *10^-6C
Qk = Q1 + Q2
Qk = (2.24 + 2.5)*10^-5 = 4.74*10^-5
Ck = KC1
Only the charges differ; the voltage (V) across both capacitors stays constant.
Qk/V = K Q1/V
K = Qk/Q1
K = 4.74 *10^-5/2.24*10^-5
K = 2.11
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A marathoner is trying to improve her skill at pacing herself during her races Select the best technology tool available to help provide feedback to the runner so that
she doesn't "burnout" too fast at the beginning of this grueling competition
O Pedometer
O Spreadsheet checklist
O Stopwatch
O Digital pictures
Answer: Stopwatch
Explanation: A stopwatch would be the best technology tool available to help provide feedback to the runner so that she doesn't "burn out" too fast at the beginning of a gruelling competition. A stopwatch can help the runner measure her pace and ensure that she runs at a steady, consistent pace throughout the race. Additionally, a stopwatch can be used to track the runner's split times and provide her with detailed feedback on her performance.
999mm is added to 100 we get
999mm is added to 100m, we get 100999m.
What is the Conversion of units?A unit conversion is defined as the same property as a different unit of measurement such that time can be expressed in minutes instead of hours, while distance can be expressed in miles to kilometers or feet or lengths which can be converted to any other measurement.
In the above given information,
We have two numbers which are 999mm and 100m
So, we have to convert 100m into mm.
we know, 1cm=10mm
1m=100cm=100×10=1000mm
100m will be=100×1000=100000mm
Now, after adding 999m with 100000mm,
999mm+100000mm =100999mm
Hence, when 999mm is added to 100m we get 100999m.
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Help me pleaseee!!
Would appreciate ^^
**BRAINLIST, thanks and
points***
With steps pls so I can
understand
The battery has an internal resistance of 2.50
4.1 Show that the resistance of the 6.2 V, 4.5 W lamp at its working potential difference
(pd) is about 9.
Look at photo for more info
4.2 The terminal pd across the battery is 6.2 V.
Calculate the emf of the battery.
4.1) Resistance of the 6.2 V, 4.5 W lamp at its working potential difference (pd) is about 9. 4.2) The emf of the battery is 6.2V.
What is potential difference?The energy used between two points in a circuit is called potential difference, therefore it is measured between two points either side of component.
4.1)To calculate the resistance of the lamp;
resistance = pd / current
pd is the potential difference across the circuit and current is the flow of electricity through circuit.
Given, potential difference across the lamp is 6.2 V and the power of the lamp is 4.5 W,
So, Power = pd x current
4.5W = 6.2V x current
current = 4.5W / 6.2V
Hence, current = 0.726 A
resistance = pd / current
resistance = 6.2 V / 0.726 A
resistance = 8.56 ohm, approximately 9 ohm
4.2 The emf of battery is the maximum potential difference of the battery, when no current is flowing through circuit. In this case, emf of the battery is the same as terminal pd across the battery which is 6.2V. So the emf of the battery is 6.2V.
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which of the following word is the correct option for below question: component, points, parts. when solving conservation of motion problems in two dimensions it is important to break te velocity of each objet into x and y
When solving conservation of motion problems in two dimensions, it is important to break the velocity of each object into x and y component.
What is velocity?Velocity is a vector representation of an object's or particle's displacement with respect to time. The meter per second (m/s) is the standard unit of velocity magnitude (also known as speed). Alternatively, velocity magnitude can be expressed in centimeters per second (cm/s). The direction of movement of the body or item is defined by velocity. Speed is fundamentally a scalar number. Velocity is, in essence, a vector quantity. It is the pace at which distance changes. It is the displacement rate of change. Simply put, velocity is the rate at which something travels in a certain direction. For example, the speed of a car driving north on a highway or the speed of a rocket after launch.
Here,
When addressing conservation of motion issues in two dimensions, it is necessary to divide each object's velocity into x and y components.
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a bullet is accelerated down the barrel of a gun. the average force exerted on a 0.020 kg bullet to accelerate it to a speed of 500.0 m/s in a time of 2.00 ms (milliseconds) is
The average force is then F = ma is 5,000 kg m/s2 = 5,000 N.
What is average force?Average force is the mean force of a set of forces. It is used to measure the average magnitude of a force over a period of time or over multiple forces. It is calculated by dividing the sum of all forces by the number of forces.
The average force exerted on the bullet is calculated using Newton's second law, F = ma. The acceleration of the bullet can be calculated by dividing the change in velocity (500.0 m/s) by the time interval (2.00 ms).
a = Δv/Δt
a = 500.0 m/s / 2.00 ms = 250,000 m/s2
The average force is then F = ma = (0.020 kg)(250,000 m/s2) = 5,000 kg m/s2 = 5,000 N.
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Two large parallel copper plates are 5.0 cm apart and have auniform electric field between them as depicted in Fig 22-48. Anelectron is released from the negative plate at the same time thata proton is released from the positive plate. Neglect the force ofthe particles on each other and find their distance from thepositive plate when they pass each other.
I made five attempts to include the digaram but to no avail.
The positive plate is on the left.
The negative plate is on the right.
The proton is released at the positive plate.
The electron is released at the negative plate.
The direction of the electric field is from the positive plate tothe negative plate.
Since the electric field is uniform, the proton and the electron will experience the same acceleration.
What is electric field?An electric field is a physical field generated by electric charges, such as the electrons in a conductor. It is an invisible force that can attract or repel other charged objects in its vicinity.
This means that their velocities will increase at the same rate. Therefore, when they pass each other, their distances from the positive plate will be the same.
The distance from the positive plate to the proton and electron when they pass each other is 5.0 cm. This is the same distance as the distance between the two plates.
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A simple machine increases the distance that a force needs to be applied from 3 meters to 27 meters, and
the work done is 216 Joules. How much force is applied? (1 point)
a.8N
b.72 N
c.9N
d.81 N
the input force by the output force 2. by adjusting the force's necessary application direction 3. 3N4. W=△E5.
What is the most accurate explanation of direction?Direction can refer to the way something moves, the way you must go to get somewhere, the way something is beginning to take shape, or the direction you are facing. When you turn right rather than left, that is an illustration of direction.
What exactly is a feeling of purpose in life?Your direction perception refers to your capacity to generally understand where you are or which course to go, even if you're in a strange environment. He quickly got lost due to his weak sense of direction. If you claim someone
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A pair of closely spaced parallel conducting plates, charged with equal and opposite electric charges, produces a uniform electric field in the region between them. In designing a cutting‑edge device that will revolutionize the electronics industry, Leticia sets up such a pair of plates separated by a distance 0.999 mm, then charges them so that the direction of the electric field in their interior region points from plate A to plate B. Her idea requires that electrons, when released from rest at one of the plates, reach the other plate at the speed of 1.71% of the speed of light. The speed of light is =3.00×108 m/s. 2 questions:
At which plate should the electrons be released?
B
either A or B
A
cannot be determined
What is the strength of the electric field?
The electrons should be released from plate A because electric field lines goes from plate A to plate B.
What are cathode and anode?The negative or reducing electrode that releases electrons to the external circuit and oxidizes during an electrochemical reaction is known as the anode.
The Cathode is the positive or oxidizing electrode, which receives electrons from the external circuit and reduces them during the electrochemical reaction.
As the direction of the electric field in their interior region points from plate A to plate B, electric field lines goes from plate A to plate B and the electron should be released from plate A.
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A 21 g ball of clay traveling east at 3.2 m/s collides with a 32 g ball of clay traveling north at 2.1 m/s. What are the speed and the direction of the resulting 53 g ball of clay?
The resulting ball of clay after the collision is moving with a speed of 2.53 m/s in a direction between east and north.
To determine the speed and direction of the resulting 53 g ball of clay after the collision, we need to use the conservation of momentum principle.
Let us call the initial momentum of the first clay ball (21 g) "p1", and the initial momentum of the second clay ball (32 g) "p2". The final momentum of the resulting clay ball (53 g) will be "p3".
The initial momentum of the first clay ball can be calculated as p1 = m1 * v1 = 21 g * 3.2 m/s = 67.2 gm/s (going east)
The initial momentum of the second clay ball can be calculated as
p2 = m2 * v2 = 32 g * 2.1 m/s = 67.2 gm/s (going north)
So, the total initial momentum is p1 + p2 = 67.2 gm/s + 67.2 gm/s = 134.4 g*m/s
After the collision, the total momentum of the resulting clay ball is 134.4 gm/s, and its mass is 53 g. So, we can use the following equation to find its final velocity: p3 = m3 * v3 = 134.4 gm/s = 53 g * v3
So, the final velocity of the resulting clay ball is v3 = 134.4 g*m/s / 53 g = 2.53 m/s.
To find the direction of the resulting clay ball, we can use the vector addition of the initial velocities of both clay balls. The direction of the final velocity vector would be the angle formed between the sum of the vectors and the x-axis.
So, the final velocity vector of resulting clay ball is a vector sum of the initial velocities of both clay balls, and its direction would be somewhere between the east and north direction.
Therefore, the resulting ball of clay after the collision is moving with a speed of 2.53 m/s in a direction between east and north.
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a vertical air current that is generated by temperature-induced density differences (e.g., hot air rising) is an example of heat transfer by
Convection When a fluid, such as air or water, is heated and starts to circulate, heat transfer through convection takes place.
A cooler area is left behind when the hot fluid rises, carrying the heat energy it contains with it. As a result, energy is transferred from one place to another through a cycle of air or water currents. Convection is characterised by the vertical air current produced by temperature-induced density differences, such as hot air rising. Thermal convection is a crucial component of the climate system on Earth and is a type of convection. Convections always need a medium for the transfer of energy.
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if the total number of joints (n) in a simple truss is three (3), calculate the total number of members (m) in the truss.
If the total number of joints in a simple truss is three, the total number of members in the truss is three.
What is truss?In engineering, a truss is a structural member made of straight pieces of metal or wood that are joined together to form a series of triangles that lie in a single plane. Roofs, bridges, and towers are the most common structures that use trusses. Truss structures are classified into three types: simple, planar, and space frame. Various truss varieties have been developed over the years within these three basic types. A framework is made up of straight members joined at their ends to form a truss structure. Trusses can support both moving and stationary loads. Trusses are commonly used in roof supports, bridges, and other similar structures.
Here,
m=2j-3
j=3
m=2*3-3
m=3
The total number of members in the truss is 3 if the total number of joints in a simple truss is three.
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A constant net force, F net is applied to a cart with mass,m, causing an acceleration,a. If the mass of the cart is doubled, but the net force remains the same, what will the acceleration of the car be?
The acceleration of the car will be halved. Option A is the correct answer.
What is acceleration?This refers to the rate of change of velocity. It is the speed that is changing but not at all times. When an object moves in a circular path at a constant speed, it is still accelerating, because the direction of its velocity is changing.
Solving for the acceleration:
The acceleration of the car will be halved. This is because the acceleration of an object is directly proportional to the net force applied to it and inversely proportional to its mass. Therefore, if the mass of the cart is doubled and the net force remains the same, the acceleration will be halved:
(a = Fnet/m).
The equation is :
F=ma
If we keep force constant and mass doubles, acceleration will be halved.
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The density of a fluid is given by the empirical equation rho = 70.5exp(8.7 times 10^-7P) A. Where p is density (lbm/ft^3) and P is pressure (lbf/in^2). (1 N=0.2250 Ibf; I g=0.002205 Ibm; 1 ft=12in=30.48cm) ? B. What are the units of 70.5 and 8.27 times 10^7? C. Calculate the density in g/cm^3 for a pressure of 9.0 times 10^6 N/m^2. Derive a formula for p (g/cm) as a function of P (N/m^2).
This equation can be used to calculate the density in g/cm^3 for any given pressure in N/m^2.
What is density?Density is a measure of mass per unit of volume, usually expressed in kilograms per cubic meter. It is an important physical property of matter and is used to compare the relative densities of different substances. Density is also used to calculate the buoyancy of objects in a fluid. The density of a substance is affected by temperature and pressure. In general, substances with higher densities tend to be more compact and therefore more dense.
A. The units of 70.5 and 8.7 times 10^7 are lbm/ft^3 and lbf/in^2 respectively.
B. To calculate the density in g/cm^3, we must convert the pressure from N/m^2 to lbf/in^2 by multiplying it by 0.2250. Thus, we have 9.0 times 10^6 N/m^2 * 0.2250 = 2.025 times 10^7 lbf/in^2. Plugging this into the equation, we have rho = 70.5exp(8.7 times 10^-7 * 2.025 times 10^7) = 1176.6 g/cm^3.
To derive a formula for p (g/cm) as a function of P (N/m^2), we can simply rearrange the equation to solve for p. Thus, we have p = 70.5exp(8.7 times 10^-7 * P) / 0.002205. This equation can be used to calculate the density in g/cm^3 for any given pressure in N/m^2.
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from the following statements about mechanical waves, identify those that are true for transverse mechanical waves only, those that are true for longitudinal mechanical waves only, and those that are true for both types of waves.
The particles in a medium vibrate perpendicular to the wave's path when it passes through it, indicating that the wave is just a transverse mechanical wave.
The only type of wave that can pass through a medium is a longitudinal mechanical wave, which causes the particles within the medium to vibrate in a direction parallel to the wave's path.
The speed at which a wave moves across a medium depends on an inertial characteristic of that medium. This is true for both transverse and longitudinal mechanical waves.
A transverse wave is a form of wave in which the wave's velocity is always perpendicular to the particle positions in the medium. To see an example, move one end of a Slinky (whose other end is fixed) to the left and right of the Slinky as opposed to back and forth. Waves on the water's surface, for instance.
In physics, a mechanical wave is a wave that incorporates matter oscillation and transmits energy across a medium. Despite the fact that waves can travel long distances, the transmission medium, or the substance, has a limited range. Example - Sound waves
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does cloud spins faster due to conservation of angular momentum. or gravitational potential energy is converted to kinetic energy.happen firsty
The rules of energy conservation and angular momentum conservation ensure that any rotating, collapsing cloud will finish up as a spinning disk.
What is momentum?Momentum is defined in Newtonian physics as the product of an object's mass and velocity. It is a vector quantity with magnitude and direction. Momentum is a measure of mass in motion: how much mass is involved in how much movement. It is commonly denoted by the sign p. Momentum is clearly defined as the measure of an object's kinetic energy. In layman's terms, momentum is the product of mass and velocity. Complete response: Simply said, momentum is concerned with the quantity of motion. It can also be referred to as the preserved quantity.
Here,
The laws of energy and angular momentum conservation guarantee that any rotating, collapsing cloud will end up as a spinning disk.
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A student standing on the ground throws a ball straight up. Theball leaves the student's hand with a speed of 15 m/s when the handis 2.0 m above the ground . HOw long is the ball in the air beforeit hits the ground? ( The student moves her hand out of the way)
The ball takes 1.62 seconds to return to the ground after reaching its maximum height As a result, the ball is in the ground for
1.5 seconds + 1.62 seconds, which is 3.12 seconds.
The student throws the ball with the initial velocity vi=15m/s
The final velocity of the ball is [tex]v_{f} =0 \\[/tex] The gravitational acceleration is g=10m/[tex]s^{2}[/tex]
Let the maximum height the ball reached is s
Using the equation of motion,
[tex]v_{f} ^{2} -v_{i} ^{2} =2gs-(15)^2[/tex]=11.25m
Consequently, the ball traveled 11.25 meters from student height till it began to fall to the ground. Identify the time t right now.Taken by ball to reach the height 11.25 musing the equation of motion
[tex]v_{f} =v_{i}+gt_{o}=15+(-10) t_{t} =1.5sec[/tex]
As a result, the ball reaches its highest point in 1.5 seconds.
Given that the girl's hand was 2 meters above the ground. Consequently, the ball travels the distance before touching the ground.
11.25m + 2m = 13.25m
Using the equation of motion
[tex]S=v_{i} t+\frac{1}{2} gt^{2}[/tex]
S=13.25m, [tex]v_{i} =0[/tex], g=10m/[tex]s^{2}[/tex]
Substitute the values,
[tex]13.25=0 +\frac{1}{2} (10)t^{2}[/tex]
t=[tex]\sqrt\frac{13.25}{5}[/tex]
t=1.62sec
The time taken by ball to return to ground from maximum height is 1.62 sec.
Hence, The ball remains in ground before it hits the ground is 1.5 sec + 1.62 sec = 3.12 sec
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sort these stellar objects by their peak wavelength. not all the objects are on the interactive, so determine the trend first, then sort the objects. stellar objects (4 items) (drag and drop into the appropriate area) the sun, a g star with t
The stellar objects the sun a g star is with T= 5500k
Distance between the equivalent positions of two successive waves is known as the wavelength. Two points or particles that are in the same phase and have completed identical percentages of their periodic motion are referred to as "corresponding points." Wavelength is typically measured from crest to crest or from trough to trough in transverse waves (waves with points vibrating at right angles to the direction of their advance); from compression to compression or from rarefaction to rarefaction in longitudinal waves (waves with points vibrating in the same direction as their advance). The Greek symbol lambda (λ) is typically used to represent a wave's length. Wavelength is defined as the product of a wave train's frequency (f) and speed (v) in a medium.
The wavelength of the temperature inversely related to each other. Higher the temperature, lower will be its wavelength.
1. Highest (reddest) a brown dwarf with T=100k
___________________________________________
2. a K star with T=4400k
___________________________________________
3. the sun, a G star with T=5500k
___________________________________________
4.(lowest/bluest) an F star with T=7000k
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11. A metallic block of mass sokg exerts o pressure of ION/m² on the surface. Determine the area of contact between the block and the surface.
The area of contact between the block and the surface is 50 m².
What is mass?A body's mass is an inherent quality. Before the discovery of the atom and particle, it was widely considered to be tied to the amount of matter in a physical body.
The measure of matter in a particles or object is represented by the dimensionless quantity mass (symbolised m). The kilogramme is the International System's (SI) preferred unit of mass (kg).
What is pressure?Pressure is defined as force applied on a body per unit area. Pressure is the force perpendicularly applied to an object's surface per unit area over which that force is distributed. Gauge pressure is the pressure in relation to the outside pressure. There are many different units used to express pressure.
Equation :Given,
mass(m) = 50kg
pressure (p) = 10N/m²
Taking,
g= 10 m/s²
p= mg/A⇒ 10= 50 × 10/A∴
A= 500/10 = 50 m²
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A baseball is hit almost straight up into the air with a speed of 22 m/s. Estimate (a) how high it goes, and (b) how long it is in the air. (c) What factors make this an estimate ?
(a) The ball goes up to the height of 31.89 m. (b) The ball stays for 5.1 s in the air. (c) The acceleration due to gravity and wind resistance can affect the estimation.
What is Acceleration due to gravity?Acceleration owing to gravity is the term used to describe the rate at which a body's velocity changes as a result of the earth's gravitational pull. In general, it is assumed that the acceleration caused by gravity is in the downward direction.
The acceleration caused by gravity has been calculated as, however as it changes from location to location, it may have an impact on the estimation.
You may have thought that the wind has no impact, but it can actually generate drag and even cause the ball to shift course.
Therefore, (a) The ball goes up to the height of 31.89 m. (b) The ball stays for 5.1 s in the air. (c) The acceleration due to gravity and wind resistance can affect the estimation.
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The acceleration of a train that increases its velocity from 10.0 m/s to 15.0 m/s in 2.90 seconds is _____ m/s^2.
In 2.90 seconds, a train can accelerate from 10.0 m/s to 15.0 m/s, and this train accelerates at a rate of 1.94 ms2/m/s2.
For what reason does a train's acceleration diminish?At the start of the trip, the train picks up speed as it accelerates. In the middle of the journey, it remains the same (where there is no acceleration). When the train comes to a stop, it gets smaller as it slows down.
Distance traveled by the train as a percentage of time is its speed. The time it takes for two trains to cross each other is determined by the length of the trains, say lengths a and b, and the speeds of the trains, x and y, respectively.
In 2.90 seconds, a train can accelerate from 10.0 m/s to 15.0 m/s, and this train accelerates at a rate of 1.94 ms2/m/s2.
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which of the following graphs best represents an acceleration curve that is consistent with the above velocity curve? the horizontal axes are scaled identically.
The acceleration - time graph represents velocity of an object.
The Acceleration-Time graph tells us about an object’s velocity the same way the Velocity Time graph tells us about an object’s displacement. It is the best way to determine velocity.Acceleration-Time Graph shows the acceleration plotted against time for a particle moving in a straight line. The acceleration-time plots acceleration values on the y-axis and time values on the x-axis.The area under the acceleration graph represents the change in velocity. In other words, the area under the graph for a certain time interval is equal to the change in velocity during that time interval.To know more about kinematics visit:
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What is the average velocity of the marble?
note that 2 frames is one second
The average velocity of the marble based on the image is 2.75 m/s.
What is average velocity?The ratio of the change in position or displacement (x) and the time periods (t) during which the displacement happens is known as average velocity.
Mathematically;
average velocity = ∆x / ∆twhere;
∆x = change in position or displacement∆x = change in timeThe change in the displacement of the marble, ∆x = 7 m - (-4) m
The change in the displacement of the marble, ∆x = 11 m
The change in time, ∆x = 8/2 seconds
The change in time, ∆x = 4 seconds
The average velocity of the marble = 11 m / 4 seconds
The average velocity of the marble = 2.75 m/s
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A particle is launched with a horizontal velocity v0 = 0.55 m /s from the 30° position shown and then slides without friction along the funnel-like surface. Determine the angle θ which its velocity vector makes with the horizontal as the particle passes level O-O. The value of r is 0.9 m. [
The angle its final velocity makes with the horizontal is 60⁰.
What is the time of motion of the particle?
The time taken for the particle to travel through the 0.9 m radius is calculated by applying the following equation.
t = ( 2v sin (θ) ) / g
where;
v is the initial velocity θ is the angle of projectiong is acceleration due to gravityt = ( 2 x 0.55 x sin 30 ) / ( 9.8 )
t = 0.056 s
The final vertical velocity is calculated as follows;
Vy = Vi + gt
Vy = ( 0.55 x sin 30 ) + (9.8 x 0.056 )
Vy = 0.82 m/s
The final horizontal velocity is calculated as follows;
Vx = V cos (30)
Vx = 0.55 m/s x cos ( 30 )
Vx = 0.48 m/s
The angle made with the horizontal is calculated as;
θ = arc tan ( Vy / Vx )
θ = arc tan ( 0.82 / 0.48 )
θ = 59.7⁰ ≈ 60⁰
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Marsha is pushing down and to the right on a 12 kg box at an angle of 30 degrees below horizontal. The box slides at a constant velocity across a carpet whose coefficient of kinetic friction with the box is 0.70. Determine the magnitude of applied force, normal force, and friction force.
To determine the magnitude of the applied force, normal force, and friction force, we can use the equations of motion.
The applied force (Fa) is the force that Marsha exerts on the box. It can be determined by the equation:
Fa = ma
where m is the mass of the box (12 kg) and a is the acceleration of the box (which is zero, since the box is moving at a constant velocity).
The normal force (FN) is the force exerted on the box by the surface it is sliding on, perpendicular to the surface. It can be determined by the equation:
FN = mg
where g is the acceleration due to gravity (9.8 m/s^2).
The friction force (Ff) is the force exerted on the box by the surface it is sliding on, parallel to the surface. It can be determined by the equation:
Ff = μFN
where μ is the coefficient of kinetic friction between the box and the surface (0.70).
So,
Fa = 12 * 0 = 0 N (since acceleration is zero)
FN = 12 * 9.8 = 117.6 N (perpendicular to the surface)
Ff = 0.7 * 117.6 = 82.32 N (parallel to the surface)
So the magnitude of applied force is 0 N, normal force is 117.6 N, and friction force is 82.32 N
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a river flows with a uniform velocity v. a person in a motorboat travels 1.52 km upstream, at which time a log is seen floating by. the person continues to travel upstream for 91 min at the same speed and then returns downstream to the starting point, where the same log is seen again.
The velocity of the log relative to the river is 3.04 km/182 min = 0.017 km/min.
What is velocity?Velocity is a vector quantity that describes the rate and direction of the movement of an object or particle. It is composed of two components: speed and direction.
The speed of the river is constant and is denoted by v. Therefore, the velocity of the motorboat is v + u, where u is the speed of the motorboat relative to the river.
When the person travels 1.52 km upstream, the total distance covered by the motorboat is 1.52 km x (v + u). This is also the distance covered by the log during the same period of time.
The time taken by the person to travel upstream is 91 min. Therefore, the total time taken by the motorboat to cover the round trip (upstream + downstream) is 182 min.
The total distance covered by the motorboat during the round trip is 3.04 km x (v + u). Since the same log is seen again, the distance covered by the log during the round trip is also 3.04 km.
Therefore, the velocity of the log relative to the river is 3.04 km/182 min = 0.017 km/min.
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