Question

A small object is undergoing uniform circular motion. The uniform circular motion is caused by a force that is directed toward the center of the circle (the radial force). What is the work done by the radial force during 2.5 rotations of the object

Answer 1

The work done by the radial force will always be 0 J

Step-by-step explanation:

The formula for work done by a force on an object is given as follows:

W = F d Cos θ

where,

W = Work Done

F = Force Applied

d = Displacement

θ = Angle Between Force and Displacement

Now, in this case the force is directed radially towards the center of the circle. And the direction of motion or displacement of the body during circular motion is always tangent to the circle.

Hence, the force and displacement will always be perpendicular to each other during this circular motion. (θ = 90°)

Therefore,

W = F d Cos 90°

W = F d (0)

W = 0 J

Therefore, the work done by the radial force will always be 0 J