A small Block A is released from the top of an incline plane at height of h = 512 m . All surfaces are frictionless. The block collides with the ground inelastically but does not stick to it. After co

Question

A small Block A is released from the top of an incline plane at height of $h = 512 m$ . All surfaces are frictionless. The block collides with the ground inelastically but does not stick to it. After collision with the spring, it returns back and collides with the incline inelastically but again does not stick to it. Find the maximum height (in m) from the ground attained by block A when it climbs up the incline.

TestHub · Accepted Answer

Speed at the bottom: v = 2 g h ​ , directed at 60° below horizontal. Inelastic ground collision kills the vertical component: speed becomes v cos 6 0 ∘ = 2 v ​ . The spring returns the block with the same speed 2 v ​ . Inelastic incline collision keeps only the component along the incline: 2 v ​ cos 6 0 ∘ = 4 v ​ . 2 1 ​ m ( 4 v ​ ) 2 = m g H ⇒ H = 32 g v 2 ​ = 32 g 2 g h ​ = 16 h ​ = 32 m . Answer: (B)

Physics - Center of Mass Question with Solution | TestHub

Options:

Doubts & Discussion