work-energy theorem

Question

A particle of mass 0.5 kg starts from rest and acquires a velocity of 10 m/s under the action of a constant force. The work done by the force is:

RankGuru · Accepted Answer

1. **Application of Principle**: The work done is equal to the final kinetic energy since the particle starts from rest.
2. **Kinetic Energy Formula**: $K = \frac{1}{2} m v^2$.
3. **Identify Variables**:
   - Mass $m = 0.5$ kg.
   - Velocity $v = 10$ m/s.
4. **Calculation**:
   - $W = \frac{1}{2} 	imes 0.5 	imes 10^2 = 0.25 	imes 100$.
5. **Result**: $W = 25$ Joules.

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work-energy theorem

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