A mouse of mass 0.025 kg loads himself in a spring-powered gun that is pointed at some angle. He compresses the gun spring so he can shoot up into the air. The gun's spring has a constant of k = 80 N/m and is initially compressed a distance of 0.15 from its relaxed position. If the mouse when launched has a constant horizontal velocity of 1.9 m/s during flight, what is the maximum height above the initial position achieved by the mouse?

Q: A block of mass m = 2.8 kg is dropped (starting from rest) from a height h = 0.81 meters above the…

A: Consider the top of the spring as the reference line. Apply principle of conservation of energy…

Q: A vertically mounted spring (k = 850 N/m) is compressed by 24.0 cm relative to its unstrained…

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Q: A block of mass m = 1.5 kg initially moving to the right with a speed of 3 m/s on a frictionless,…

A: Given data:  Mass (m) = 1.5 kg Initial speed (v) = 3 m/s Spring constant (k) = 400 N/m Final speed…

Q: n object of mass 24,000 kg, moving horizontally at 0.12 m/s is brought to a halt by a spring, with a…

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Q: In preparation for shooting a ball in a pinball machine, a spring (k = 713 N/m) is compressed by…

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Q: As seen in Fig. 1, a 5.00 kg mass starts from rest at the top of a frictionless incline at heighty0=…

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Q: Neil and Gus are having a competition to see who can launch a marble highest in the air using a…

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Q: A 1.2 kg block is held at rest against a spring with a force constant k = 750 N/m. Initially, the…

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Q: A horizontal spring with force constant k = 695 N/m is attached to a wall at one end and to a block…

A: spring constant (k) = 695 Nmmass (m) = 2.15 kg amplitude of motion (A) = 4 cm = 0.04 m

Q: A vertical spring with a constant of 370 N/m is mounted on the floor. From directly above the…

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Q: A toy cannon uses a spring to project a 5.21-g soft rubber ball. The spring is originally compressed…

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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: A vertical spring with a spring constant of 430 N/m is mounted on the floor. From directly above the…

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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 vertical spring with a spring constant of 360 N/m is mounted on the floor. From directly above the…

A: Spring constant (k) = 360 N/m Mass of block (m) = 0.30 kg Compression in the spring (y) = 3 cm =…

Q: A homemade spring gun (with spring constant 1410 N/m) is aimed at an angle of 55.0 degrees upward…

A: Given: spring constant, k = 1410 N/m angle, θ = 55°  mass of tennis ball, m= 75 g = 0.075 kg…

Q: In a pinball machine, a horizontal spring with a spring constant of 31 N/m, is compressed by 4.0 cm…

A: Now since there is no loss of energy. The potential energy of the compressed spring will be equal to…

Q: A 500-g block is released from rest and slides down a frictionless track that begins 1.90 m above…

A: Given data: Mass of the block is, m = 500 g = 0.5 kg Height of the block from horizontal is, h =…

Q: A 20.0 g marble is fired vertically upward using a spring gun. The spring must be compressed 16.0…

A: Given:  mass,m = 20 g  compression in spring, y = 16 cm = 01.6 m height, h = 15 m

Q: spring with a constant of 50.0 N/cm. The launcher is prepared by compressing the spring by 5.00 cm.…

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Q: 65.0 kg bungee jumper uses a cord that is 3.51 m long when unstretched with a spring constant of 140…

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Q: A small spring is laying horizontal on a table and is compressed by 0.50 m. A small mass of 0.25 kg…

A: Amplitude = 0.5 m m = 0.25 kg acceleration =8 m/s2

Q: A slingshot, which can be modeled as a spring with spring constant k = 56.4 N/m, is stretched by 16…

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Q: The problem uses the ideal spring force, in one dimension.  F = -kx, where x is the deviation from…

A: The maximum speed for a particle performing simple harmonic motion is given asv=AωA is the amplitude…

Q: A toy cannon uses a spring to project a 5.32-g soft rubber ball. The spring is originally compressed…

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Q: You want the maximum compression of the spring to be 0.23 m. What must be the force constant of the…

A: Given Mass of the wood block = 2 kg Maximum compression of the block = 0.23 m To find out  The force…

Q: The string on a bow can be described as a spring. A particular bow’s string has a spring constant of…

A: The string on a bow can be described as a spring. A particular bow’s string has a spring constant of…

Q: A horizontal spring on a frictionless surface with a spring constant of 50 N/m is compressed 0.4 m…

A: We will use conservation of energy,

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.