Question

Which of the following has the maximum momentum

• A. A 100 kg vehicle moving at 0.02 ms^–1
• B. A 4 g weight moving at 10000 cms^–1
• C. A 200 g weight moving with kinetic energy 10^–6J
• D. A 20 g weight after falling 1 kilometre

Answer 1

Answer: (D)

A 20 g weight after falling 1 kilometre

Answer 2

Momentum of body for given options are :

(1) P$= mv = 100 \times 0.02 = 2kgm/\sec$

(2)P$= mv = 4 \times 10^{- 3} \times 100 = 0.4kgm/\sec$

(3) P$= \sqrt{2mE} = \sqrt{2 \times 0.2 \times 10^{- 6}} = 6.3 \times 10^{- 4}kgm/\sec$

(4)P$= m\sqrt{2gh} = 20 \times 10^{- 3} \times \sqrt{2 \times 10 \times 10^{3}} = 2.82kgm/\sec$

So for option (4) momentum is maximum.