Initially sliding with a speed of 4.3 m/sm/s, a 2.0 kg block collides with a spring and compresses it 0.42 mm before coming to rest. What is the force constant of the spring?

Q: A rifle bullet with mass 8.00 g strikes and embeds itself in a block with mass 0.992 kg that rests…

A: mass of bullet  m =8 g = 0.008kg mass of block M = 0.992 kg compression x =15 cm =0.15 m force F =…

Q: A 1.5 kg crate drops from a height of 2.0 m onto an industrial spring scale whose elastic constant…

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Q: (a) How far is the spring compressed, if k = 120 N/m? (b) What minimum value of the coefficient of…

A: Ans a) Using the law of conservation of energy         0.5*m*v^2 - umgx = 0.5*k*x^2…

Q: 1. Initially sliding with a speed of 2.2 m/s, a 1.8-kg block collides with a spring and compresses…

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Q: A particle of mass 2.0 kg is attached to a spring of spring constant 30 N/m. If the maximum…

A: Given data- mass of particle m=2.0 kg spring constant k=30 N/m maximum acceleration amax=5.8 m/s2

Q: A light spring with force constant 3.10 N/m is compressed by 7.80 cm as it is held between a…

A: Mass of left block=m1=0.4 kg  Mass of right block=m2=0.8kg Let acceleration of m1=a1 m/s^2  and…

Q: A spring with force constant 311 N/m is in a compressed state, 0.417 m shorter than its relaxed…

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Q: A 4.00-kg mass is connected to a cable attached to a spring with a spring constant of 75.0 N/m. when…

A: Given, The mass , m = 4.00 Kg Spring constant, k = 75.0 N/m Initial velocity , vi = 2.00 m/s∆x =…

Q: Bumper car "A' , with mass 54.0 × 104 kg, coasts across a level track at 4.50 m/s when it collides…

A: Given Mass of car A is mA= 54.0 × 104 kg Initial velocity of car A is vA=4.50 m/s maximum…

Q: A spring oriented vertically is attached to a hard horizontal surface as in the figure below. The…

A: Compression Springs are open-coil helical springs wound or constructed to oppose compression along…

Q: A child bounces in a harness suspended from a door frame by three elastic bands. (a) If each…

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Q: A 25 kg child bounces on a pogo stick. The pogo stick has a spring with spring constant 2.0 x 104…

A: Given:Mass of the child (m) is 25 kg.Acceleration of child in upward direction ac is 9.8m/s2Spring…

Q: A car with mass 1620 kg crashes into a wall. The car's velocity immediately before the collision was…

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Q: The added 15 Kg will cause the combined 10 and 15 Kg objects to move. Calculate the maximum…

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Q: A block of mass 12.5 kg is launched on a horizontal, frictionless surface by compressing a spring…

A: Mass of the block is m=12.5 kg Spring constant of the spring is k=43.0 N/m Releasing distance of the…

Q: A block is dropped onto a spring with a spring constant of 30 N/m. The block has a speed of 3.3 m/s…

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Q: A spring scale hung from the ceiling stretches by 6.4 cm when a 1.0 kg mass is hung from it. The 1.0…

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Q: *84. mmh An 11.2-kg block and a 21.7-kg block are resting on a hori- zontal frictionless surface.…

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Q: A hockey puck sliding along frictionless ice with speed v to the right collides with a horizontal…

A: x1 = 1cm v1 =v, v2 =2v From conservation of energy, 1/2kx2 = 1/2mv2 So X12/x22= v12/v22

Q: Two dynamics carts are back-to-back. Both carts have a mass of 500 grams. The spring is released and…

A: Given data The mass of the cart is m = 500 g = 0.5 kg The speed of the cart is v = 0.4 m/s The…

Q: A18.0-g block is placed against the free end of a spring (with spring constant k equal to 32.0 N/m)…

A: mass of block (m) = 18 g m = 0.018 kg spring constant (k) = 32 Nmcompression of spring (d) = 12 cm d…

Q: object of mass 357 g is suspended from a spring with a spring constant of 200 N/m, the extension of…

A: F= kx

Q: 3.45-g bullet embeds itself in a 1.67-kg block, which is attached to a spring of force constant 785…

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Q: A horizontal spring with a spring constant of 20.0 N/m is attached to a 0.750 kg mass on a…

A: We are given extension in spring. This is the amplitude of oscillation. We find angular frequency…

Q: A light spring with force constant 3.80 N/m is compressed by 7.44 cm as it is held between a…

A: Givenspring with force constant k=3.80 N/mx= 7.44 cm = 0.0744 mMass of Heavy Block m1= 0.518 kgMass…

Q: A student builds a miniature cannon, using an initially compressed spring to launch a 200 gram ball…

A: In the given problem, a ball is launched from a cannon, which consists of a spring compressed to a…

Q: A block of mass 1.3 kg is attached to a horizontal spring that has a force constant 800 N/m as shown…

A: Here, m denotes the mass, k denotes the spring constant, xi denotes the initial compression, and F…

Q: 6. A 10.00-g bullet moving with an initial speed of 400.0 m/s is fired into and passes through a…

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Q: A 10 Kg object hangs at rest from a spring with force constant 180 N/m. A 15 Kg object is gently…

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Q: A 6.00 kg block is permanently attached to a spring (k =500 N/m) on a rough ( 0.230,-0.210)…

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Q: A mass on a spring rests on a horizontal frictionless surface. You displace it 8.00 cm 2) from…

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Q: The surface the object slides on is frictionless aside from a L-long patch. A second spring with…

A: In the given question, Mass of object  = m Force constant of left spring = k1 Force constant of…

Q: Bumper car "A' , with mass 54.0 × 104 kg, coasts across a level track at 4.50 m/s when it collides…

A:

Q: A spring has a  constant of 31 N/m while hanging on a ceiling hook. A 520g toy is then attached to…

A: Given, k=31 N/mm=520 g

Q: When the 5 kg mass is released from rest, it slides down the incline and has a perfectly inelastic…

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Q: A horizontal spring with spring constant 250 N/m is compressed by 10 cm and then used to launch a…

A: The spring constant, Compression of the spring, Mass, Frictional constant, The initial speed,

Q: A 15.00-g bullet moving with an initial speed of 415 m/s is fired into and passes through a 1.25-kg…

A:

Q: A toy cannon uses a spring to project a 5.34-g soft rubber ball. The spring is originally compressed…

A: Given,Mass of toy cannon, The compression, Force constant, Distance, Friction force, a. The total…

Q: Block A has mass 1.00 kg, and block B ha nass 3.00 kg. The blocks are forced ogether, compressing a…

A: Given values:- Mass of block A,(ma)=1 kg ----(1) Mass of block B,(mb)=3 kg ----(2) Velocity of block…

Q: Consider a system of two toy railway cars (i.e., frictionless masses) connected to each other by two…

A: Given Mass m1                 = 4 kg Mass m2                 = 2 kg Spring constant k1 = 32 N/m…

Q: A vertical spring with a spring constant of 490 N/m is mounted on the floor. From directly above the…

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Q: Ablock of mass of 10 kg is moving across a frictionless floor and comes in contact with an idoal…

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Q: A 11.7-kg block is held at rest against a spring by a 53.0-N external force. The external force is…

A: Given: The mass of the block is 11.7 kg. The external force is 53.0 N. The velocity of the block…

Q: 8. DETAILS (a) With what speed does the projectile leave the barrel of the cannon? 1.34 ✓ m/s A toy…

A: To solve this problem, we can use conservation of energy to find the initial speed of the ball and…

Spring Potential Energy

The potential energy is the energy possessed by a body by virtue of its position or the energy held by the object due to its position relative to other objects, its force like stresses, charge, and other factors affecting the particles of the body. The potential energy is the measure of the net work done by or on the body. The spring potential energy is the potential energy stored due to the deformation of an elastic spring and this elasticity is due to the stretched spring. The elasticity is the ability of a solid-state matter to come back to its equilibrium position or original position after any kind of external force is acted on it. It is also known as Elastic potential energy. The potential energy here is caused due to the displacement of the spring from its equilibrium position to another position and this potential energy is equal to the net work done due to the stretching of the spring. It also resembles the same mechanics of the oscillation of a simple pendulum, where due to the external force, the object moves from its equilibrium position to its maximum ends and the periodic motion continues till it comes back to the equilibrium position to rest.