Which has a higher value of momentum? A bullet of mass $10 g$ moving with a velocity of $400 m s^{- 1}$ or a cricket ball of mass $400 g$ thrown with the speed of $90 k m h^{- 1}$ .

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Solution

Step 1: Given data
For bullet $m = 10 g = 0.01 k g$ and $v = 400 m / s$
For ball $m = 400 g = 0.4 k g$ and $v = 90 k m / h r = 90 \times \frac{5}{18} = 25 m / s$
Step 2: Finding a higher value of momentum
We know that momentum = $m a s s \times v e l o c i t y$
Momentum of bullet $= m v = (0.010) \times (400) = 4 k g m / s$
Momentum of ball $= m v = (0.4) \times (25) = 10 k g m / s$
Hence, the momentum of the cricket ball is greater than the momentum of the bullet.

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