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: When a 2.30-kg object is hung vertically on a certain light spring described by Hooke's law, the…

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Q: Problem 7: A block of mass 5.5 kg is sitting on a frictionless ramp with a spring at the bottom that…

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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 0.280-kg block along a horizontal track has a speed of 1.70 m/s immediately before colliding with…

A: (a). using conservation of energy, the initial kinetic energy is equal to the final spring energy.…

Q: When a 2.40-kg object is hung vertically on a certain light spring described by Hooke's law, the…

A: Given: The mass of the object is 2.4 kg. The spring constant is 2.58 cm.

Q: I need help with this Homework Problem.

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Q: The suspension of a pickup truck acts like a spring with a spring constant of 130,000 N/m. If the…

A: The weight of the load will be balanced by the compression force of the spring. A) Hence, mg = kx x…

Q: You have a light spring which obeys Hooke's law. This spring stretches 3.20 cm vertically when a…

A: stretch = 3.2 cm  mass, m= 2.7 kg  Let the force constant is K.   F = m g = K y (2.7)(9.8) = K…

Q: Suppose that an object of mass 6.7 g is hung from a vertical spring that is stretched 10.2 cm as a…

A: mg=kx    k=mgx

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Q: You have a light spring which obeys Hooke's law. This spring stretches 2.60 cm vertically when a…

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Q: spring is on a horizontal table and a mass of 10 kg approaches it at a speed of 5 m/sec; it is 0.5 m…

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

A: Below I have provided the solution of the given question

Q: You have a light spring which obeys Hooke's law. This spring stretches 2.34 cm vertically when a…

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Q: You have a light spring which obeys Hooke's law. This spring stretches 2.62 cm vertically when a…

A: We have givenSpring streches to distance (x)=2.62 cm=0.0262 mMass of object (m)=2.6 kg

Q: Hooke's law describes a certain light spring of unstretched length 37.0 cm. When one end is attached…

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Q: You have a light spring which obeys Hooke's law. This spring stretches 2.96 cm vertically when a…

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Q: You have a light spring which obeys Hooke's law. This spring stretches 2.84 cm vertically when a…

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Q: A spring hanging vertically stretches by 5.61 cm when a load of 1.34 N is attached to it. Find the…

A: Given, the spring stretched by =5.61 cm =0.0561 mload on the spring =1.34 Nwe have calculate the…

Q: The force law for a non-linear spring is F(x) = -60x1.15 N. Find the average force exerted by the…

A: This problem can be solved using the formula for the average of a function.

Q: When a 2.40-kg object is hung vertically on a certain light spring described by Hooke's law, the…

A: According to hook's law -  Force is directly proportional to the the displacement -  F=kx Where,  k…

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

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Q: Consider a spring that does not obey Hooke's law very faithfully. One end of the spring is fixed. To…

A: A spring which is following the relation:  Fx =kx-bx2+cx is stretched and compressed by a distance…

Q: A bungee jumper with a mass of 77.5 kg is standing on a platform 65.1 m above a lake. The length of…

A: Give: m = 77.5kg h0 = 65.1m L0 = 15.3m K = 155N/m h1 = 47.7m V1 = ?

Q: A toy cannon uses a spring to project a 5.28-g soft rubber ball. The spring is originally compressed…

A: mass = 5.28 g original compression (d) = 4.90 cm k = 8.01 N/m d1 = 15.9 cm f =  0.0323 N

Q: You have a light spring which obeys Hooke's law. This spring stretches 2.54 cm vertically when a…

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

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Q: You have a light spring which obeys Hooke's law. This spring stretches 3.08 cm vertically when a…

A: Subpart (a): When the spring is stretched by the object, the weight of the object provides the…

Q: You have a light spring which obeys Hooke's law. This spring stretches 2.88 cm vertically when a…

A: The spring force is given as Fs=kx…

Q: No friction D (H)

A: the spring constant K=1865N/m The block will stop at a distance D=2.4m the initial velocity with…

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Q: s law describes a certain light spring of unstretched length 30.0 cm. When one end is attached to…

A: We know that force and displacement is given by  F=kx  At equilibrium kx=mg  a) k=mgx=…

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Q: You are in a zombie-themed paintball shooting range, armed with a spring-loaded paintball gun. The…

A: initially stored elastic potential energy = (1/2)k(x)2 E = (1/2)(86000)(0.015)2 E = 9.675 Joules…

Q: In a car's suspension system, each wheel is connected to a vertical spring; these springs absorb…

A: Given: The spring constant of the spring is k=4.6×104 N/m. The mass of car is m=1500 kg. The speed…

Q: You push a 2.00 kg block against a horizontal spring, compressing the spring by 15.0 cm. Then you…

A: Given Mass of block is m= 2.00 kg Compressed distance of spring is x=15.0 cm=0.15 m Spring constant…

Q: A 0.200-kg block along a horizontal track has a speed of 1.60 m/s immediately before colliding with…

A: The mass of the block, m = 0.200 kg. The speed of the block, v = 1.60 m/s. The force constant of the…

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Q: The fair is in town and one of the attractions is a bungee jump. They are trying to determine the…

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Q: When a 2.00-kg object is hung vertically on a certain light spring described by Hooke's law, the…

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

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

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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.