Question

A skateboarder wants to cross a large playground and notices that there are large shapes painted on its asphalt surface. One shape is a large circle that covers the entire playground. Inscribed in that circle is a square, with one point at the skateboarder’s feet and the other at his destination. The surface is rough and, therefore, friction is present. What path does he follow in order to minimize the work done by nonconservative forces?

Answer 1

Diagonal of circle

Explanation:

As the skateboarder wants to cross the play ground . The surface is rough .

As we know , the force of friction is non-conservative force . Thus work is required against this force .

We have formula:

work done = Force x distance (in one direction )

Te force applied cannot be changed , so he is to decrease the distance .

In case of circle , diameter is the minimum distance . Thus he is supposed to move along it .