A spring with force constant 311 N/m is in a compressed state, 0.417 m shorter than its relaxed length. In this condition, the spring serves a vital purpose in a device for detecting impending earthquakes. A curious physicist releases the spring and, moreover, stretches it until it is 0.109 m longer than its relaxed length. That renders the earthquake detector useless, and it fails to warn of a very strong earthquake that subsequently shatters all the lawn sculptures in the area, fortunately with no other damage or injury. Although some might consider this to be beneficial, the physicist's boss does not. She had some extremely unattractive plaster gnomes around her yard and loved them dearly. She imposes a punishment on the physicist and requires him to calculate the change of elastic potential energy caused by his meddling. What does he find? change of elastic potential energy:

Q: A spring is extended by 50 mm with the application of a force of 10N, and the spring constant is…

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Q: When a block is suspended from a vertically hanging spring, it stretches the spring from its…

A: Given : Total length, xf = 5.50 cm = 0.055 m Original length, xi = 4.50 cm = 0.045 m On horizontal…

Q: A glider of mass 0.240 kgkg is on a frictionless, horizontal track, attached to a horizontal spring…

A: Potential energy of a spring stretched by some distance 'x' is 12kx2 Kinetic energy is given by the…

Q: A horizontal spring with force constant k = 58.0 N/m is used to accelerate a 0.520-kg mass on a…

A: Write the given values with the suitable variables. k=58 N/mm=0.52 kgx=5.75×10-2 m Here, k is the…

Q: A block attached to a vertical spring has a velocity of 0.499 m/s after it descended through a…

A: When the block descends, two forces act on it. The forces are due its weight which pulls it downward…

Q: A spring with spring constant k = 80 N/m has an equilibrium length of 1.00 m. The spring is…

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Q: Question 14 A 2.24 kg box, sliding on a frictionless horizontal surface, has a speed of 1.02 m/s…

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Q: Consider an object on a spring whose position is given by x = (5.00cm)cos(9.90s-1t). a. Find the…

A: Given : Position, x=5.00 cmcos9.90-1t  (1)

Q: A 1.78 kg ball rolls on a frictionless horizontal surface at 5.17 m/s and collides with a stationary…

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Q: A horizontal spring (with a spring constant of 1000 N/m) is compressed by some amount, A, by a mass…

A: GIVEN: Force constant of spring = 1000N/m mass = 3kg velocity of mass = 15m/s

Q: A large toy car is pushed horizontally by a spring, and the spring has a spring constant of 135 N/m.…

A: Spring constant K = 135  N/m  Let the mass of the toy car be m  Compression in spring is Xi = 0.055…

Q: A bullet with mass 5.01 g is fired horizontally into a 2.053-kg block attached to a horizontal…

A: In the question, we use the conservation of kinetic energy into elastic potential energy of the…

Q: In designing a spring loaded cannon, determine the spring constant required to launch a 1.0 kg ball…

A: Given data: Displacement of the ball x=5 cm =0.05m Mass of the ball m=1.0 kg Initial speed v=1.2 m/s

Q: A spring having a spring constant of 500.0 N/m is permanently attached to a 4.00kg mass initially at…

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Q: An 8.0-g bullet is suddenly shot into a 4.0-kg block that is at rest on a frictionless horizontal…

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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: A puck is made up of two parts connected by a compressed spring. mi-0 3001kg [R] SPRING Ax=0:0624 m…

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Q: 1. A ball having a mass of 60g is attached to the horizontal barrel of a spring gu The spring has a…

A: Given :-  K = 730 N/ m x = 50 mm = 50 × 10-3  m = 60 kg  F = 4 N

Q: 1.5Hz, 0.67sec. B. 0.67HZ, 1.5 sec. C. 0.0012HZ, 864sec. D. 864 H2, U.0012sec. 4. A block of mass…

A: According to guideline we can solve only first question. A block of mass 1.6kg is attached to a…

Q: An elastic cord is 74 cmcm long when a weight of 72 NN hangs from it but is 80 cmcm long when a…

A: Given data: Initial length (x1) = 74 cm = 0.74 m Initial force (F1) = 72 N Final length (x2) = 80 cm…

Q: k m A block of mass m = 5.20 kg is being suspended at rest by an extended spring of spring constant…

A: M = 5.2kg  K= 36 N/m  F= 20N  s= 2.45m

Q: A block of mass m = 5.4 kg slides on a rough surface and moves toward a spring with a spring…

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Q: OK, once again we have a pendulum, this time of length 1.92 m, which you release from rest at an…

A: Given data: Length of the pendulum, L=1.92 m    θ1=58.3 ∘  θ2=11.7 ∘

Q: A massless spring (with force constant k = 190 N/m) connects a wall and a block of wood. The system…

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Q: A child’s toy consists of plastic attached to a spring. The spring is compressed against the floor…

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Q: A spring with a mass of 2 kg has natural length 0.5 m. A force of 25.6 N is required to maintain it…

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Q: A 0.200 kg object is attached to a horizontal spring with a spring constant of 77.0 N/m. The other…

A: Given : m = 0.200 kg k = 77 N/m F = 10 N

Q: A spring with a spring constant of 303 N/m is initially compressed by a distance of 0.056 m from its…

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Q: You are asked to design spring bumpers for the walls of a parking garage. A freely rolling 1300 kgkg…

A: Kinetic energy : Kinetic energy of an object is the measure of the work an object can do by virtue…

Q: A block of mass 2.0 kg is attached to a horizontal spring that has a force constant of 100.0 N/m .…

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Q: A block of mass m2 = 10.0 kg, at rest on a horizontal surface that has negligible friction, is…

A: using conservation of momentum mu + MV = (m +M) v 14(3.2) + 10(0) = (14+10)v v = 1.87 m/s (combined…

Q: 8. A vertically mounted spring (k = 800 N/m) is compressed by 21.0 cm relative to its unstrained…

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Q: Examine the situation below. Using the information provided, determine... a. The speed at point A.…

A: We need to apply the law of conservation of energy to solve the given problem.

Q: A massless spring (with force constant k = 189 N/m) connects a wall and a block of wood. The system…

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Q: A horizontal spring-mass system has low friction, spring stiffness 220 N/m, and mass 0.4 kg. The…

A: Given

Q: From a person selling a ping pong ball launcher where it is made up of a compression spring. Why…

A: In this question we have to answer why a customer should buy the ping pong launcher.

Q: The system shown in the figure is in equilibrium. Masses mj& m2 are 2 kg and 8 kg respectively.…

A: Draw the free-body diagram of the 2 kg mass.

Q: 9. A vertically mounted spring (k = 900 N/m) is compressed by 24.0 cm relative to its unstrained…

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Q: A block of mass 1.3 kg is attached to a horizontal spring that has a force constant 900 N/m as shown…

A: a)the expression for the retarding force is

Q: A ball of mass m is launched straight upward from a spring of constant k compressed by a distance x.…

A: Given Data : The mass of the ball is given as m The spring constant of the spring is given as k The…

Q: OK, once again we have a pendulum, this time of length 1.49 m, which you release from rest at an…

A: GIVEN The length of the pendulum = 1.49 m pendulum release from rest at an angle of 41.6 degrees to…

Q: A 1.71 kg ball rolls on a frictionless horizontal surface at 5.17 m/s and collides with a stationary…

A: Calculate the velocity of block after impact by using conservation of linear momentum.…

Q: A block attached to a vertical spring has a velocity of 0.499 m/s after it descended through a…

A: Given:- Spring constant = k = 525 N/m Displacement of the block = x = 5 cm = 0.05 m Velocity of the…

Q: A horizontal spring with stiffness 0.8 N/m has a relaxed length of 16 cm (0.16 m). A mass of 22…

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Q: what is the velocity of the block vf in m/s?

A: Friction will perform negative work and decrease total mechanical energy of spring block system .…

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.