The initial speed of each block is v0 = 6.92 m/s, and each incline slopes upward at an angle of θ = 50.0°. the block on the shorter track leaves the track at a height of h1 = 1.25 m above the ground. find (a) the height h for the block on the longer track and (b) the total height h1 + h2 for the block on the shorter track.

Part a)

Part b)

Explanation:

Part a)

As we know that there is no friction on the inclined plane

So we can use energy conservation for both planes

For longer plane we will have

Part b)

On shorter plane the speed while it leave the plane at height H1 is given as

now the maximum height of projectile is given as

so we have

e/c, where e is its total energy