Laws of Motion - Result Question 14

14. If the force on a rocket moving with a velocity of $300 m / sec$ is $345 N$, then the rate of combustion of the fuel, is

[1995]

(a) $0.55 kg / sec$

(b) $0.75 kg / sec$

(c) $1.15 kg / sec$

(d) $2.25 kg / sec$

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Answer:

Correct Answer: 14. (c)

Solution:

  1. (c) Velocity of the rocket $(u)=300 m / s$ and force $(F)=345 N$. According to Newton’s second law, thrust (force) $=$ Rate of change of linear momentum.

$\frac{F}{u}=(\frac{d m}{d t})=1.15 kg / sec$