A 500-kg cannon and a supply of 30 cannon balls, each with a mass of 24.5 kg, are inside a sealed railroad car with a mass of 43000 kg and a length of 73 m. The cannon fire to the right; the car recoils to the left. The cannon balls remain in the car after hitting the wall. After all the cannon balls have been fired, what is the greatest distance the car can have moved from its original position? A spring of negligible mass is compressed between two masses on a frictionless table with sloping ramps at each end.

Q: Two blocks, A and B, are initially in contact and at rest. A spring with spring constant k = 450 n/m…

A: Given data: Two blocks, A and B, are initially in contact and at rest. A spring with spring constant…

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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Q: A vertical spring with a spring constant of 490 N/m is mounted on the floor. From directly above the…

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Q: A spring with a spring constant of 825 N/m is placed horizontally, and compressed a distance of…

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Q: A 4 kg block is sliding across a frictionless floor with an initial speed of 4 m/s when it collides…

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Q: A box is attached to a spring and at rest at the equilibrium position of the spring when a bullet…

A: When the body is placed at the surface with coefficient of friction μ, the friction force is given…

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 bullet with a mass ?b=13.1 g is fired into a block of wood at velocity ?b=253 m/s. The block is…

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Q: A mass of 0.83 kg is initially traveling at 6.1 m/s across a horizontal, frictionless surface. It…

A: Since the mass comes to rest, the final kinetic energy of the mass is zero. Apply conservation of…

Q: A 25 kg child bounces on a pogo stick. The pogo stick has a spring with spring constant 2.0 x 104…

A: Given:Mass of the child (m) is 25 kg.Acceleration of child in upward direction ac is 9.8m/s2Spring…

Q: A block is dropped onto a spring with a spring constant of 30 N/m. The block has a speed of 3.3 m/s…

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Q: A 12.0-g bullet is fired horizontally into a 112-g wooden block that is initially at rest on a…

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Q: wwwwww Ax A 0.8kg box on a horizontal frictionless surface is moving to the right at a speed of…

A: mass of box (m)=0.8 kgspeed of box (v)=2.19 m/smaximum compression in spring (∆x)=4 cm=0.04 m

Q: As shown in the figure below, a box of mass m = 6.00 kg is sliding across a horizontal frictionless…

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Q: A horizontal spring (with spring constant 180 N/m) is attached to the wall at the left, and a 10 Kg…

A: Given: The spring constant is 180 N/m. The mass of the object attached to the spring is 10 kg. The…

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: In the figure, block 1 (mass 6.2 kg) is moving rightward at 9.9 m/s and block 2 (mass 3.1 kg) is…

A: Given that the value of mass of block 1 and 2 and also given initial velocity of both blocks and…

Q: An 8.0 g bullet is shot into a 3.0 kg block, at rest on a frictionless horizontal surface. The…

A: The compression in the spring x=3.3 cm=3.3×10-2 m The spring constant k=2700 N/m The energy stored…

Q: An AK47 (Kalashnikov Rifle) shoots bullets that have a mass of 7.90g. The design of the AK47 rifle…

A: Mass of the bullet is m = 7.90×10-³ kg  Mass of the block is M = 7.24 kg  K = 203000 N/m…

Q: A 0.87 kg block on a connected to a spring (whose spring constant is 3.80 N/m). The horizontal…

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Q: A 25 kg child bounces on a pogo stick. The pogo stick has a spring with spring constant 2.0 x 104…

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Q: A child's toy consists of a piece of plastic attached to a spring in the figure below. The spring is…

A: Force constant of spring = ?

Q: A 40.0 g bullet is fired at 100.0 m/s and embeds in a wooden block on asmooth surface frictionless…

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Q: What is the muzzle velocity of the dart when it is fired? a) 211 m/s

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Q: Bumper car "A' , with mass 54.0 × 104 kg, coasts across a level track at 4.50 m/s when it collides…

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Q: As shown in the figure, a 4.0-kg block is moving at 5.0 m/s along a horizontal frictionless surface…

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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: Two blocks, A and B, are initially in contact and at rest. A spring with spring constant k = 450 n/m…

A: Given that:mA= 5 kgmB=3 kgk=450 N/mμk = 0.60x= 0.65m

Q: Аpparatus A delicate apparatus of mass m = 127 kg is being sent to a space station on a rocket ship.…

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Q: After driving a portion of the route, the taptap is fully loaded with a total of 26 people including…

A: Given, The taptap is fully loaded with 26 people.The average mass of one person Mass of 26 people…

Q: As shown in the figure below, a box of mass m = 9.80 kg is sliding across a horizontal…

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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.