A solid sphere starts from rest at the upper end of the track, as shown in figur

Question

A solid sphere starts from rest at the upper end of the track, as shown in figure below, and rolls without slipping until it rolls off the right-hand end. If H = 13.0 m and h = 3.0 m and the track is horizontal at the right-hand end, how far horizontally from point A does the sphere land on the floor? m

A solid sphere starts from rest at the upper end of the track, as shown in figure below, and rolls without slipping until it rolls off the right-hand end. If H = 13.0 m and h = 3.0 m and the track is horizontal at the right-hand end, how far horizontally from point A does the sphere land on the floor? m

Explanation / Answer

velocity at A=sqrt(2*g*(H-h))

=14 m/s

Now time taken wehn it its the ground

h=1/2*g*t^2

t=0.782 s

So horizontal distance

=14*0.782

=10.95 m ans

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