First slide

Second law

Question

A rigid ball of mass m strikes a rigid wall at $60^{o}$ and gets reflected without loss of speed as shown in the figure below. The value of impulse imparted by the wall on the ball will be

Moderate

A

$\frac{mV}{2}$
B

$\frac{mV}{3}$
C

mV
D

2mV

Solution

$∆ V = V_{f} - V_{i}$
= $(- V \cos 60^{0} \overset{⏞}{i} - V \sin 60^{0} \overset{⏞}{j})$ -( $V \cos 60^{0} \overset{⏞}{i} - V \sin 60^{0} \overset{⏞}{j})$
$∆ V = - 2 V \cos 60^{0} \overset{⏞}{i}$
Impulse
$l = | ∆ P | = m | ∆ V | = m (2 V \cos 60^{0}) = mV$

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