Asolid ball rolls without slipping from rest (starting at height h = 6.00 m) until it leaves the horizontal section at the end of the track, at height h = 2.00 m above the floor. how far horizontally from point a does the ball hit the floor? hint: the ball will be rotating as well as moving horizontally, and the horizontal speed will be what matters.

How far horizontally from point A does the ball hit the floor d= 5 m

Explanation:

By law of conservation of energy we can say that

final Kinetic energy kf+ final potential energy Uf= initial Kinetic energy ki+ initial potential energy Ui

We know that the ball has Uf, the ball at the bottom and no Ki ,the ball at initial state

therefore,

Kf= Ui

therefore,

MOI for Solid ball =

=

Now substituting the values to get value of V

V= 7.48 m/s

now to calculate How far horizontally from point A does the ball hit the floor

h=

2=

t=0.6385 sec

now horizontal distance  d= vt = 0.6385×7.48= 5.00 m