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Question

# What is the momentum in kg. m/s of a 10 kg car travelling at (a) 5 m/s (b) 20 cm/s, and (c) 36 km/h?

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Solution

## (a) 5 m/s We know that: Momentum = mass × velocity = m × v Here, mass, m = 10 kg velocity, v = 5 m/s Putting these values in the above formula, we get: Momentum = 10 × 5 kg.m/s = 50 kg.m/s (b) 20 cm/s We know that: Momentum = mass × velocity = m × v Here, mass, m = 10 kg velocity, v = 20 cm/s v = 0.2 m/s Putting these values in the above formula, we get: Momentum = (10)(0.2) kg.m/s = 2 kg.m/s (c) 36 km/h We know that: Momentum = mass × velocity = m × v Here, mass, m = 10 kg velocity, v = 36 km/h $=36×\frac{1000}{3600}\phantom{\rule{0ex}{0ex}}=36×\frac{10\overline{)00}}{36\overline{)00}}\phantom{\rule{0ex}{0ex}}=\overline{)36}×\frac{10}{\overline{)36}}\phantom{\rule{0ex}{0ex}}=10\mathrm{m}/\mathrm{s}$ Putting these values in the above formula, we get: Momentum = 10 × 10 kg.m/s = 100 kg.m/s

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