During spring semester at MIT, residents of the parallel buildings of the East Campus dorms battle one another with large catapults that are made with surgical hose mounted on a window frame. A balloon filled with dyed water is placed in a pouch attached to the hose, which is then stretched through the width of the room. Assume that the stretching of the hose obeys Hooke's law with a spring constant of 120 N/m. If the hose is stretched by 2.30 m and then released, how much work does the force from the hose do on the balloon in the pouch by the time the hose reaches its relaxed length? Number____________ units _____________

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

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: During spring semester at MIT, residents of the parallel buildings of the East Campus dorms battle…

A: Hooke's law states that the elastic restoring force acts linearly proportional to the displacement.…

Q: A very light spring with spring constant K = 500 N/m is hung (es) by a fixed ceiling. Two forces F,…

A: Given, Spring constant, k = 500 Nmforces, F1 = F2 = 20 N

Q: I need help with this Homework Problem.

A:

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 block P of weight 50 N is kept on a plane and now pulled so that the extension in the spring is 10…

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Q: The data in the table was collected by hanging masses on a spring with an unknown spring constant.…

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Q: During spring semester at MIT, residents of the parallel buildings of the East Campus dorms battle…

A:

Q: E. A block of 200 g mass is dropped from a height of distance of 50 cm. The force constant of the…

A: Given data:  Mass (m) = 200 g = 0.200 kg Height from ball dropped = 2 m Comparison in spring (x) =…

Q: A block whose mass is 5.7 kg slides on horizontal frictionless table top with a constant speed of 5…

A: Given values: Mass, m=5.7 kg Speed, v=5 m/s Spring constant, K=1282.5 N/m

Q: A 2.00-kg block is pushed against a spring with negligible mass and force constant compressing it…

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Q: A 0.250 kg air-track glider is attached to each end of the track by two coil springs. It takes a…

A:

Q: A 2.75 kg block on a horizontal floor is attached to a horizontal spring that is initially…

A: From conservation of energy,

Q: During spring semester at MIT, residents of the parallel buildings of the East Campus dorms battle…

A:

Q: A 40.0-gram rock is attached to a horizontal spring with a force constant of 11.0 N/m. The spring is…

A: Given: The mass of the rock is 40 g. The spring constant is 11 N/m. The amplitude of the system is…

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: 50 N/m |0.5 kg X = -0.3 m X = 0m X = 0.3 m A block of mass 0.5 kg on a horizontal surface is…

A: We will use Hooke's Law for this :-                  F = -k x   Negative sign denotes that the force…

Q: A mass m starts at rest and then falls down distance l, where it contacts an unstressed spring of…

A: Total distance falls by the mass = h = l+l2 = 3l2 Displacement of the spring = x = l2 Using the…

Q: A 300-g block is released from rest after a spring of constant k = 600 N/m has been compressed 160…

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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: 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 spring with a spring constant of 80 N/m is at rest and is attached to a block. If the block…

A: Given Data: Spring Constant k= 80 N/m Initial position of spring x=0.6 m Final position of spring…

Q: During spring semester at MIT, residents of the parallel buildings of the East Campus dorms battle…

A: Given data:     The spring constant is: K = 100 N/m The initially hope stretched is: Xi = 5 m…

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

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Q: The force required to compress a non-standard spring as a function of displacement from equilibrium…

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

A: By conservation of energy, K1+U1=K2+U2 Initially , the spring is in the relaxed position so that the…

Q: A spring with k= 360 N/m is compressed x = 11cm by a 1.85 kg block on a horizontal table with…

A: (A) When the block is released up to its maximum compression than the velocity of the mass is zero.…

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: When the spring has been stretched a distance (x), the force required to hold it in this position…

A: According to question we need to find that the given statement is true or false .

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

A: Given data: Mass (m) = 120 g = 0.120 kg Spring constant (k) = 430 N/m Spring compressed by distance…

Q: A block of mass M is attached to lower end of a vertical spring. The spring is hung from the ceiling…

A:

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: leased. During the launching, the airplane engine exerts a constant horizontal force of 2,000 lbs.…

A:

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 2.85 kg block on a horizontal floor is attached to a horizontal spring that is initially…

A: From the conservation of energy: The work done by friction on the block is:

Q: A spring of a spring gun, having constant k- 628 N/m, ia compressed horizontally a distancex-0.05 m…

A:

Q: A box is pressed against a horizontal spring, compressing the spring from its relaxed length. The…

A: Solution: (1)  Maximum height attained by the box is only depends on angle of projection and initial…

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:

Q: A horizontal spring with stiffness 0.4 N/m has a relaxed length of 16 cm (0.16 m). A mass of 18…

A:

Q: Find the maximum compression of a spring if an 8.00-kg bowling ball drops straight down from an…

A:

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: What should be the spring constant kk of a spring designed to bring a 1300 kg car to rest from a…

A: It is given that,

Q: A block of mass m = in front of a relaxed horizontal spring of spring constant k = 200 N/m fixed at…

A:

Q: A 4.00 kg block is attached to a spring of force constant 500 N/m. The block is pulled 10.0 cm to…

A: Given Mass of block m= 4kg Spring constant K=500N/m x=0.1 m Coefficient of friction μ=0.25

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.