s 1.5M A small block of mass M is released from rest at the tep of tbe curved fr
ID: 2269030 • Letter: S
Question
s 1.5M A small block of mass M is released from rest at the tep of tbe curved frictionless ramp shown above. The block slides down the ramp and is moving with a speed at rest at the bottom of the incline. The larger block movès to the right at a speed 2vo immediately after the collision. Express your answers to the following questions in terms of the given quantities and fundamental constants. This means you should have vo, M,g, and D in your answers. Do not plug in 10 m/s/s for g! When it collides with a larger block of mass 1.5M (e) The larger block slides a distance D before coming to rest. Determine the value of the coefficient of netic friction between the larger block and the surface on which it slides. For part (d), know that an "elastic" collision is one in which mechanical energy is the same before and after the collision. You will need to do a calculation to answer this. Yes an extra question... (d) Indicate whether the collision between the two blocks is elastic or inelastic. Justify your answer.Explanation / Answer
Solution :-
initial KE = work done by friction
½(1.5M)(2Vo)² = µ(1.5M)gD M cancels, leaving
3*(Vo)² = 1.5µgD
µ = 2(Vo)² / gD
d)
I can tell by observation that the collision is inelastic (not completely, but inelastic). The reason is that in an elastic collision, when a small mass collides with a larger mass at rest, the smaller mass must rebound in the opposite direction. That didn't happen here.
A quantitative justification lies in testing conservation of energy:
initial KE = ½ * M * (3.5Vo)² = 6.125M(Vo)²
final KE = ½ * M * (0.5Vo)² + ½ * (1.5M) * (2*Vo)² = 3.125M(Vo)²
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