Q174 / 180 · COMEDK 2019 · Physics
When a body moves in a circular path, no work is done by the force since
- Athere is no displacement
- Bthere is no net force
- Correct answerCforce and displacement are perpendicular to each other
- Dthe force is always away from the centre
Solution
The work done by a force in moving a body is
$$
W=\underline{F} \cdot \mathbf{S}
$$
where, $s$ is the displacement vector.
In circular path, the force is centripetal, thus always acting towards the centre along the radial direction.
However, the displacement is always along tangent to the circle at the instantaneous position of object.
Hence, $\theta=90^{\circ}$
Thus, $\quad W=\mathbf{F} \cdot \mathrm{s}=F s \cos 90^{\circ}=0$
Hence, the correct answer is option: 'C'.