# Rolling Motion Question: Can someone help me out with this?

##### 1 Answer

1.41 m, 1,85 revolutions

#### Explanation:

Let the speed of the center of mass of the ball at the bottom of the ramp be

So, energy conservation gives

or

(here we have used the fact that

The time the ball takes to reach the floor from this point on is given by

Thus, the horizontal distance the ball travels before hitting the floor is

The angle the ball revolves through in time

Thus, the number of revolutions is