First slide

Collisions

Question

If a skater of weight 3 kg has initial speed 32 m/s and second one of weight 4 kg has 5 m/s. After collision, they have speed (couple) 5 m/s. Then the loss in K.E. is

Moderate

A

48 J
B

96 J
C

Zero
D

None of these

Solution

Loss in K.E. = (initial K.E. – Final K.E.) of system
$\frac{1}{2} m_{1} u_{1}^{2} + \frac{1}{2} m_{2} u_{2}^{2} - \frac{1}{2} (m_{1} + m_{2}) V^{2}$
$= \frac{1}{2} 3 \times {(32)}^{2} + \frac{1}{2} \times 4 \times {(5)}^{2} - \frac{1}{2} \times (3 + 4) \times {(5)}^{2}$
= 1498.5 J

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