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Question
A spring is kept compressed by a toy car of mass 100 g. On releasing the spring the car moves out with a speed of 0.5 ms−1. Calculate the potential energy of the compressed spring.
Numerical
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Solution
The spring's potential energy changes into the car's kinetic energy.
Convert the mass: 100 g = 0.1 kg
\[ \text{Kinetic energy} = \frac{1}{2}\, mv^{2} \]
\[= \frac{1}{2} \times 0.1 \times (0.5)^{2} \]
= 0.0125 J
Therefore, the potential energy stored in the spring is 0.0125 J.
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