A small block of mass $M$ is released from rest at the top of the curved frictionless ramp shown above. The block slides down the ramp and is moving with a speed $3.5v_0$ when it collides with a larger block of mass $1.5M$ at rest at the bottom of the incline. The larger block moves to the right at a speed $2v_0$ immediately after the collision.
Express your answers to the following questions in terms of the given quantities and fundamental constants.

Question

A small block of mass $M$ is released from rest at the top of the curved frictionless ramp shown above. The block slides down the ramp and is moving with a speed $3.5v_0$ when it collides with a larger block of mass $1.5M$ at rest at the bottom of the incline. The larger block moves to the right at a speed $2v_0$ immediately after the collision.
Express your answers to the following questions in terms of the given quantities and fundamental constants.(a) Determine the height $h$ of the ramp from which the small block was released.
, (b) The larger block slides a distance $D$ before coming to rest. Determine the value of the coefficient of kinetic friction $\mu$.
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Rachel · Accepted Answer

$ h = \frac{12.25v_0^2}{2g} $
$ \mu = \frac{2v_0^2}{gD} $

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