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Question: If the force on a rocket moving with a velocity of 300 m/s is 210 N, then the rate of combustion of ...

If the force on a rocket moving with a velocity of 300 m/s is 210 N, then the rate of combustion of the fuel is

A

0.7 kg/s

B

1.4 kg/s

C

0.07 kg/s

D

10.7 kg/s

Answer

0.7 kg/s

Explanation

Solution

Force on the rocket =udmdt= \frac{udm}{dt} ∴ Rate of combustion of fuel

(dmdt)=Fu=210300=0.7kg/s.\left( \frac{dm}{dt} \right) = \frac{F}{u} = \frac{210}{300} = 0.7kg/s.