A child slides without friction from a height `h` along a curved water slide (figure). She is launched from a height `h//5` into the pool. Determine her maximum airbone height `y` in terms of `h` and `theta`.

A head slide without friction around a loop the (figure). The bead slide is released is from rest at a height h = 3.50R . How large is the normal force on the bead at point (A) if its mass is 50 g ?

A body slides without friction from a height H = 60 cm and then loops the loop of radius R = 20 cm at the bottom of incline. The ratio of forces exerted on the body by the track at A,B and C are (g = 10 ms^(-2))

For a projectile if the time of flight is T , the maximum height is H and the horizontal range is R . Find the (a) the maximum height in terms of T and (b) the maximum horizontal range in terms of R and H .

(Figure 5.11) shows two positions A and B at the same height h above the ground. If the maximum height os the projectile is H , then determine the time t elapses between the positions A and B in terms of H . .

(Figure 5.11) shows two positions A and B at the same height h above the ground. If the maximum height os the projectile is H , then determine the time t elapses between the positions A and B in terms of H . .

Prove that the work done by a body sliding down a smooth inclined plane , from a height h to the ground level, is the same as the work done in a free fall from the same height h to the ground .