A soldier with a machine gun, falling from an airplane gets detached from his parachute. He is able to resist the downward acceleration if the shoots 40 bullets a second at the speed of 500 m/s. If the mass of a bullet is 49 gm, what is the mass of the man with the gun ? Ignore resistance due to air and assume the acceleration due to gravity g = 9.8 m/s²
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We know
mg=nmv
m×9.8=40×500×49
m=
9.8×1000
40×500×49 [49gm = 49/1000 kg]
m=100kg
That is mass of the man along with the gun is 100 kg.
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