A small block moving with a constant speed $v$ collides inelastically with a block $M$ attached to one end of a spring $k$. The other end of the spring is connected to a stationary wall. Ignore friction between the blocks and the surface.

Question

A small block moving with a constant speed $v$ collides inelastically with a block $M$ attached to one end of a spring $k$. The other end of the spring is connected to a stationary wall. Ignore friction between the blocks and the surface.(a) What is the speed of the system of two blocks after the collision?
, (b) What is amplitude of oscillations of the system of two blocks?
, (c) What is the period of oscillations?
, (d) What is the total energy of the oscillating system?
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Rita · Accepted Answer

$v_x = \frac{m}{m+M} v$
$A = \frac{m v}{\sqrt{k (m+M)}}$
$T = 2\pi \sqrt{\frac{m+M}{k}}$
$E = \frac{m^2 v^2}{2(m+M)}$

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