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प्रश्न
A spring is kept compressed by a small trolley of mass 0.5 kg lying on a smooth horizontal surface as shown in the adjacent fig. When the trolley is released, it is found to move at a speed v = 2 m s-1. What potential energy did the spring possess when compressed?
A spring is kept compressed by a toy car of mass 500 g lying on a smooth horizontal ground. On releasing the pressure, the car moves out with a speed of 2 m/s. Determine the potential energy of the compressed spring.
A toy is acted upon by a force.
A spring is kept compressed by a small trolley of mass 0.5 kg lying on a smooth horizontal surface as shown in the adjacent fig. When the trolley is released, it is found to move at a speed v = 2 m s-1. What potential energy did the spring possess when compressed?
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उत्तर
Mass of trolley = 500 g = `500/1000` kg = 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`
= 1 J
Hence, the potential energy of the compressed spring is 1.0 J.
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