1lack of infromation
1) is it rolling ?
2) is the floor smooth ?
3) is the block fixed ?
2 Answers
1
62I will give you some guidelines in this question...
Friction is not involved ... so there is not much use in trying to figure out rotation (That may be needed but only if we need to balance energy... which seems unlikely because the collision is inelastic)
Now what.?
This is a question on collision... On inelastic Collision...
We have an impulse acting on the ball which is passing through the center of the ball...
The Impulse acts opposite to the solid block...
Vertically nothing is given about the ground and the block.. otherwise the normal impulse on the block after collision will cause it to bounce upwards.. which will be very difficult to handle here... (And I am sure that the question setter has this in mind that the block does not bounce after collision)
Now apply impulse momentum theorem...
We want the sphere to bounce upwards by a height of over "h"
So the vertical impulse on the sphere needs to be enough to give it a height h
Vertical impulse is I sin θ = 1/2 m vy2=mgh
So we know vertical impulse... Hence the total Impulse I = mgh/ sin θ
I hope this guideline should help you to figure the rest... (Or if you cant still.. let me know)
