Question

A mass ‘m’ is moving in a circle of radius 1m with a uniform speed of 5m/s.The work done when its radius turns by 60 degree ​

Answer 1

Answer:

The work done when its radius turns by 60° ​is zero.

Explanation:

The mass of the particle is 'm'. It is revolving around a circle of radius 1 m with a uniform speed of 5 m/s. The centripetal force acting towards the center of the circle provides the necessary force for the mass to execute the circular motion. Work done by this centripetal force is given by the equation:

W = FS Cosθ

Where 'F' is the centripetal force, 'S' is the displacement made by the mass and θ is the angle made by the force vector and displacement vector.

Here, in a circular motion, the angle θ is always 90°. Since Cos 90° = 0, The work done will be:

W = FS Cos90°

W = FS × 0

W = 0