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  4. A ball of mass 10 g moving perpendicular to the plane of the wall strikes it and rebounds in the same line with the same velocity. If the impulse experienced by the wall is 0.54 Ns, the velocity of the ball is

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Q. A ball of mass $10\, g$ moving perpendicular to the plane of the wall strikes it and rebounds in the same line with the same velocity. If the impulse experienced by the wall is $0.54\, Ns$, the velocity of the ball is

KEAMKEAM 2014Laws of Motion

Solution:

Given,
$ \Delta p =0.54\, N - s $
$m =10 \times 10^{-3} k .g$
Impulse $ \Delta p =m v-(-m v) $
$ \Delta p =2\, m v $
$0.54 =2 \times 10 \times 10^{-3} \times v $
$V =\frac{0.54}{2 \times 10^{-2}}$
$\Rightarrow V =\frac{54}{2} $
$V =27 \,m / s $