First slide

Third law

Question

A stationary object explodes into two fragments of masses 2 kg and 4 kg. Just after the explosion, velocity of the smaller fragment is found to be 8 m/s. Then kinetic energy of the larger fragment just after explosion is

Easy

A

64 Joule
B

24 Joule
C

32 Joule
D

48 Joule

Solution

(3)
Conserving linear momentum,
$\begin{array}{l} 4 \times v = 2 \times 8 \Rightarrow v = 4 m / s . \\ ∴ K i n e t i c e n e r g y o f 4 k g m a s s = \frac{1}{2} \times 4 \times 4^{2} J = 32 J o u l e . \end{array}$

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