Momentum and CollisionHardBloom L3

Question

A rocket of mass 4000 kg is set for vertical firing. How much gas must be ejected per second so that the rocket may have initial upwards acceleration of magnitude 19.6 m/s2.

[Exhaust speed of fuel = 980 m/s.]

Options

A.240 kg s–1
B.60 kg s–1
C.120 kg s–1
D.None

Solution

Sol.

Initial ⇒ mass = 4000

μvrel – mg = ma

μ × 980 – 4000 × 9.8

4000 × 19.6

⇒ μ = 40 + 80 = 120

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