Two balls of mass m and 2m each have momentum 2P and P in the direction shown in figure. During collision they exert an impulse of magnitude P on each other.

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Solution

$p_{f} = p_{i} + I$
$p_{m f} = 2 p - p = p; p_{2 m f} = p + p = 2 p$
$u_{m} = 2 p / m; u_{2 m} = p / 2 m; v_{m} = p / m, v_{2 m} = 2 p / 2 m = p / m$
Therefore, it is perfectly inelastic collision, e = 0

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Two balls of mass m and 2m each have momentum 2P and P in the direction shown in figure. During collision they exert an impulse of magnitude P on each other.

pf=pi+Ipmf=2p−p=p;p2mf=p+p=2pum=2p/m;u2m=p/2m;vm=p/m,v2m=2p/2m=p/mTherefore, it is perfectly inelastic collision, e = 0

$p_{f} = p_{i} + I$
$p_{m f} = 2 p - p = p; p_{2 m f} = p + p = 2 p$
$u_{m} = 2 p / m; u_{2 m} = p / 2 m; v_{m} = p / m, v_{2 m} = 2 p / 2 m = p / m$
Therefore, it is perfectly inelastic collision, e = 0