. A spring is kept compressed by a small trolley of mass 0.5 kg lying on a smooth horizontal surface as shown


A spring is kept compressed by a small trolley of mass 0.5 kg lying on a smooth horizontal surface as shown. When the trolley is released, it is found to move at a speed of v = 2 m/s-1. What potential energy did the spring possess when compressed?

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Best Answer

Given

Mass of trolley = 0.5 kg

Velocity = 2 m / s

When the compressed spring is released, its potential energy is converted into kinetic energy completely.

Potential energy of compressed spring = kinetic energy of moving trolley

Kinetic energy of trolley = 1 / 2 × mass × (velocity)2

= 1 / 2 × 0.5 × (2)2

= 1 / 2 × 0.5 × 2 × 2

= 1J

So, potential energy of compressed spring = 1.0J

 

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