Question

A ball of mass 50 g moving at a speed of 2.0 m/s strikes a plane surface at an angle of incidence ${45}^{\circ }$ . The ball is reflected by the plane at equal angle of reflection with the same speed. Calculate (a) the magnitude of the change in momentum of the ball (b) the change in the magnitude of the momentum of the ball.

• A. Zero, 0.14 kg m/s
• B. 0.14 kg m/s, 0.14 kg m/s
• C. 0.14 kg m/s, Zero
• D. Zero, Zero

Answer 1

The correct option is C

0.14 kg m/s, Zero

The situation in the question can be represented diagrammatically as - shown in figure.

As clear from the figure ,
$\overrightarrow{v_i}=2cos450\hat{i}-2sin450\hat{j}$
$\overrightarrow{v_i}=2(\frac{1}{\sqrt{2}}\hat{i}-\frac{1}{\sqrt{2}}\hat{j})$
Similarly, $\overrightarrow{v_f}=2(\frac{-1}{\sqrt{2}}\hat{i}-\frac{1}{\sqrt{2}}\hat{j})$
Magnitude of change in momentum of the ball