You and a friend get jobs at a warehouse where you must carry boxes, each having a mass of 2.5 kg, up to a second floor that is a little less than 4 m above the ground floor. You find a large spring having a spring constant of 550 N/m and you realize that you could use this spring to shoot the boxes up to the floor above. You position the spring vertically on the ground floor in an open area of the stairwell. You then place a box on top of the spring and compress the spring downward. When you release the spring, the box shoots straight upwards a distance of 4 m, where your friend can reach out and grab it. By what distance must the spring be compressed for this scheme to work?

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

A:

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:

Q: A 5.00x105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.400 m by a large…

A: Given

Q: A 6.00 ✕ 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.700 m by a large…

A:

Q: A small block with mass 0.0400 kg is moving in the xy-plane. The net force on the block is described…

A: Given data: Mass of the block, m=0.04 kg Potential energy function, Ux,y=5.8 J/m2x2-3.6 J/m2y3…

Q: A 2.00 kg object moving in the x-y plane is under the influence of a force describe by the potential…

A:

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 250 gram block is dropped from rest at a height of 1.2m onto a relaxed vertical spring that has a…

A: In this question since no energy is lost and all the potential energy of the block is converted into…

Q: A particle moves along the x axis. The force exerted on the particle is given by F = 8x3. If the…

A:

Q: You give a crate of mass m = 1.00 kg an initial speed of vi = 4.00 m/s up an incline of θ = 17°. The…

A:

Q: A 4.00 x 10° kg subway train is brought to a stop from a speed of 0.500 m/s in 0.600 m by a large…

A:

Q: A 1.30 kg block slides on a frictionless horizontal surface until it encounters a spring with a…

A: Given: The mass of the object is 1.3 kg. The spring constant is 520 N/m. The compression in the…

Q: An elevator car of mass 775 kg falls from rest 2.80 m, hits a buffer spring, and then travels an…

A: Given data: The mass of elevator car is m=775 kg. The distance traveled is h=2.80 m. 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…

A:

Q: A 6.00 x 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.500 m by a large…

A:

Q: A 120 g arrow is shot vertically from a bow whose effective spring constant is 430 N/m. If the bow…

A: Given  Mass of arrow m = 120 g = 0.12 kg Spring constant = 430 N/m Length to which now is drawn x =…

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…

A:

Q: A force of 3.0 pounds is needed to stretch the spring to 1.0 ft. from its natural length of 10…

A:

Q: A particle of mass m = 2.00 kg moves along one dimension at a speed v = 1.00 m/s. The particle is…

A:

Q: A 1.5 kg block is attached to a horizontal spring, with the other end attached to a wall, and the…

A: Mass of the block, m = 1.5 kg Spring constant, k = 57 N/m Maximum compression, x = 0.40 m

Q: A 6.00 ✕ 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.700 m by a large…

A:

Q: In a certain region of space, a particle experiences a potential energy U(x) = A/x2 + B, where A…

A:

Q: A 6.00 x 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.500 m by a large…

A: Given data: Mass (m) = 6.00 × 105 kg Initial velocity (v0) = 0.500 m/s Final velocity (v) = 0 m/s…

Q: A block of mass 100 g, resting on a frictionless surface, is pushed up against a spring compressing…

A:

Q: An object of mass 2.5 kg sliding on a horizontal frictionless surface with a speed of 4m/s collides…

A: Given  m = 2.5 kg    v = 4 m/s  Compression (x) = 40 cm                                 = 0.4 m  At…

Q: An elevator car of mass 815 kg falls from rest 2.80 m, hits a buffer spring, and then travels an…

A:

Q: A child bounces on a pogo stick, compressing the spring 0.160.16 m with every bounce. If the…

A: compression (d) = 0.16 m Elastic potential energy (E) = 4343 Joules

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 15.0 kg load of groceries is lifted up from the first floor to the fifth floor of an apartment…

A: Given that, Mass (m)= 15 kg Height of each floor (h)= 5 m Height of second floor from first floor…

Q: 2M Two blocks, of masses M = 4.0 kg and 2M, are connected to a spring of spring constant k = 150 N/m…

A:

Q: The potential energy of a system of particles in one dimension is given by: U(x) = 5 – x + 3x2 - 2x,…

A:

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…

A:

Q: It requires 35 J of work to stretch a spring by 8 cm from its equilibrium position. Determine the…

A: Given, Potential energy of spring, P.E. = 35 J Amount of stretch, x= 8 cm

Q: On a horizontal surface, a crate with mass 50.0 kg is placed against a spring that stores 360 J of…

A: Since the crate is moving horizontally, Wgrav=0 The work done by the frictional force can be given…

Q: The Potential energy stored in a car Shock Absorber which is compressed by 20 cm is 50 J. The Spring…

A: Potential energy stored in a spring is given by: PE = (1/2)*k*x^2 k = spring constant = ? PE = 50 J…

Q: The cable of the 2000 kg elevator cab in the figure snaps when the cab is at rest at the first…

A: Using force balance equations, energy conversion relations to solve the problem

Q: The block shown lies on a horizontal frictionless surface, and the spring constant is 62 N/m.…

A: Fx=12kx2x=2Fk

Q: A 6.50 ✕ 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.800 m by a large…

A: Change in kinetic energy of train is equal to the potential energy of spring,

Q: One end of a horizontal spring (k=80 N/m) is held fixed while an external force is applied to the…

A: Spring constant (k) = 80 N/m xf = 0 m xB = 4 cm = 0.04 m

Q: A 3.0 kg block slides with a speed of 2.3 m/s on a frictionless horizontal surface until it…

A: Given data: Mass of the block is, m= 3 kg The speed of the block is, v = 2.3 m/s The block…

Q: A 1.30 kg block slides on a frictionless horizontal surface until it encounters a spring with a…

A: Given, mass of the block, m = 1.30 kg Force constant, k = 520 Nm compression, x = 2.50 cm

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 5.00 ✕ 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.300 m by a large…

A:

Q: What is the work performed in compressing a quadratic spring, F=kx2, with k-200 N/m2, from 2 m to 3…

A: Spring constant (k) = 200 N/m2original position = 2m final position = 3m

Q: The return constant of a spring is 300 N/m. Over what length should it be stretched to store 80J of…

A: Given data:  Spring constant (k) = 300 N/m Potential Energy (U) = 80 J Required: Length stretched…

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

A:

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.