First slide

Third law

Question

In outer space, where gravity is zero, a rocket is ejecting gases with a relative velocity of 250 m/s when its total mass is 1500 kg and acceleration of the rocket is found to be $0.5 m / s^{2} .$ Then rate of fuel consumption of the rocket is

Moderate

A

10 kg/sec
B

5 kg/sec
C

1.5 kg/s
D

3 kg/sec

Solution

(4)
Thrust force : generated = 1500 x 0.5 N = 750 N
$∴ \frac{d m}{d t} \times 250 = 750 \Rightarrow \frac{d m}{d t} = 3 k g / \sec .$

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