Question

An object moves in a circle at a constant speed of 1.0 m/s. The radius of the circle is 1.0 m. If a force of 1.0 N acts toward the center of the circle, how much work does this force do as the object moves? 1. W = F (2 π r) for a circle radius of r. 2. W = F (π r2 ) for a circle radius of r. 3. Zero 4. W = m v2 r for a circle radius of r. 5. None of these

Answer 1

Answer:5

Explanation:

Given

speed of object $v=1\ m/s$

radius of circle $r=1\ m$

Force towards the center $F=1\ N$

Work done is given by the dot product of Force and displacement

and we know know displacement of the object is along the circle which is perpendicular to the force acting therefore Work done will be zero

$W=F\cdot s\cos 90$

$W=0$