In the vault event, the gymnast begins her routine by jumping on a springboard, a platform with springs underneath. In one vault, a 45 kg gymnast jumps 0.60 m above the springboard’s surface. She then lands on the springboard, which compresses it. What is the maximum compression of the springboard? How much time does it take for the board to fully compress? The spring constant of the board is 50,000 N/m.

Q: The massless spring of a spring gun has a force constant k = 14.5 N/cm. When the gun is aimed…

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Q: Q: A block of mass 0.50 kg is placed on top of a light vertical spring of force constant 7500 N/m…

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Q: You have a spring with a spring constant 6660 N/m.  a) If you want to store 265 J of energy in this…

A: a. the energy store in the spring can be expressed as U=12kx2 here k is the spring constant and x is…

Q: A linear spring has a free length of 39.4 cm. When it is under a hanging load of 27340N, its total…

A: Given: The initial length of the spring is 39.4 cm. The final length of the spring is 739.4 cm. The…

Q: A 2,00-kg package is released on a 53,1° incline, 4.00 m from a long spring with force constant…

A: Given data: Mass m = 2.00 kg Angle θ=53.1° Length of the spring l =4.00m Force constant k…

Q: 47. Which combination of funda be used to express the elastic potential energy stored in a…

A: Part (47): The elastic potential energy is the potential energy stored by stretching or compressing…

Q: block of mass 3.40 kg is placed against a horizontal spring of constant k = 855 N/m and pushed so…

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Q: A linear spring has a free length of 50.1m. When it is under a hanging load of 3261N, its total…

A: Given: The original length of spring is 50.1 cm. The length after load is applied is 73.9 cm. The…

Q: 1.25 m 6) A 20.0-g object is placed against the free end of a spring (with spring constant k) that…

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Q: A block of mass 250.0 g is placed on top of a light vertical spring of constant k = 4.80 x 103 N/m…

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Q: A 6.50 ✕ 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.600 m by a large…

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Q: A spring that is compressed 12.5 cm from its equilibrium position stores 3.42 J of potential energy.…

A: The potential energy stored in a spring=12kx2where k is the spring constantx is length of…

Q: A 2 kg mass is attached to a spring with k = 44 N/m. To what distance must the spring be stretched…

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Q: A block of mass 2.00 kg is placed against a horizontal spring of constant k = 775 N/m and pushed so…

A: (a) the elastic potential energy is given by,

Q: What is the maximum compression x of the spring?

A: As per the conservation law of energy. Here, E, K, U, m, h, v, k, and x represent the car’s total…

Q: A toy car of mass m is pushed along a frictionless track so that it is moving at a speed v1. It hits…

A: Given data: Mass of toy car is, m=0.0505 kg. Velocity is, v1=2.5 m/s. Spring constant is, k=605 N/m.…

Q: A block of mass 3.20 kg is placed against a horizontal spring of constant k = 725 N/m and pushed so…

A: The elastic potential energy is given by U=12kx2

Q: A 4.50 ✕ 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.600 m by a large…

A: Given data:  Mass (m) = 4.50×105 kg Speed (v) = 0.500 m/s Distance (x) = 0.600 m Required: The force…

Q: A block of mass 3.20 kg is placed against a horizontal spring of constant k = 715 N/m and pushed so…

A: We need to calculate the elastic potential energy of the spring. Also, the speed of the block after…

Q: . When a spring is stretched 0.200 meter from its equilibrium position, it possesses a potential…

A: Given data:  Stretch in spring (x) = 0.200 m Potential energy (P) = 10.0 J Required: Spring constant…

Q: A toy car of mass m is pushed along a frictionless track so that it is moving at a speed v1. It hits…

A: Given that: Mass of the toy car = m Initial speed of the car= v1  Spring constant= k Let the…

Q: A 4.50 x 10^5 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.800 m By a large…

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Q: A 38 kg child uses a pogo stick to bounce up and down. The spring constant, k, of the toy equals…

A: The child's mass is, m=38 kg The spring constant is, k=8600 N/m When a child balanced himself…

Q: How high does it rise above the point of release?

A: By using the principle of conservation of energy 1/2 kx²= mgh k=5483 N/m m= 2.236kg x= 0.142m…

Q: (15pts) A block with mass 0.50kg is forced between a horizontal spring of negligible mass,…

A: Given: Block of mass m = 0.50 kg Distance d= 0.20 m  Spring constant k = 100 N/m We have to…

Q: A 34 kg child uses a pogo stick to bounce up and down. The spring constant, k, of the toy equals…

A: Given values, Mass of child, m = 34 Kg Spring constant, k = 9400 N/m

Q: Starting from rest, a 64.0-kg person bungee jumps from a tethered hot-air balloon 65.0 m above the…

A: Given: The mass of the person m = 64 kg,            the height of the hot air balloon above the…

Q: A 5 kg roller coaster is launched from Location A to reach maximum speed at Location B by the spring…

A: As the velocity of roller coaster at F is 44.3 m/s, the kinetic energy of the roller coaster at this…

Q: A vertically hung spring stretches 0.075 meter when a 5.0-newton block is attached to the spring…

A: The force experienced by a stretched spring is given by F = kx, where k = the spring constant of the…

Q: Spiderman uses his spider webs to save a runaway train moving about 17.0 m/s. His web stretches a…

A: Initial velocity of train, u=17 m/s Distance covered, s=500 m Mass of train, m=150000 kg Let spring…

Q: A block of mass 2.00 kg is placed against a horizontal spring of constant k = 765 N/m and pushed so…

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Q: The force required to compress a non-standard spring as a function of displacement is given by the…

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Q: block of mass 3.40 kg is placed against a horizontal spring of constant k = 855 N/m and pushed so…

A: Mass m = 3.40 kg  Spring constant k =855N/m spring compresses by  x = 0.0550 m Elastic Potential…

Q: A toy car of mass m is pushed along a frictionless track so that it is moving at a speed v1. It hits…

A: The conservation of energy gives, K1+U1=K2+U2 Here, K1 is the initial kinetic energy of the system,…

Q: A collision cart on a flat track is launched using a compressed internal spring. The cart has a mass…

A: Solution: Given: m = mass of cart = 0.5 kg k = spring constant of spring = 270 N/m s = compression…

Q: A spring is connected on one end to a wall and the other is free to be compressed.  The spring…

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Q: A toy car of mass m is pushed along a frictionless track so that it is moving at a speed v1. It hits…

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Q: The cable of the 1600 kg elevator cab in the figure snaps when the cab is at rest at the first…

A: Given: The mass of the elevator is 1600 kg. The distance from the bottom is 3.1 m. The spring…

Q: A block with mass mm = 0.200 kgkg is placed against a compressed spring at the bottom of a ramp that…

A: Given data: Mass of the block, m=0.200 kg Angle of the ramp, θ=53.0o Potential energy, P.E=8.0 J…

Q: A 34 kg child uses a pogo stick to bounce up and down. The spring constant, k, of the toy equals…

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Q: Mickey, a daredevil mouse of mass 0.0221 kg, is attempting to become the world's first "mouse…

A: Hint:  As non conservative forces are absent so we can conserve energy. spring energy at bottom=…

Q: A 61-kg trampoline artist jumps upward from the top of a platform with a vertical speed of 4.2 m/s .…

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Q: Q: A block of mass 0.50 kg is placed on top of a light vertical spring of force constant 7500 N/m…

A: Given: M=0.5 kg k=7500 N/m compressed length, x=0.2 m g=10 m/s2

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.