Laws Of Motion Ques 15

15. A $600 kg$ rocket is set for a vertical firing. If the exhaust speed is $1000 ms^{-1}$, the mass of the gas ejected per second to supply the thrust needed to overcome the weight of rocket is

(a) $117.6 kg s^{-1}$

(b) $58.6 kg s^{-1}$

(c) $6 kg s^{-1}$

(d) $76.4 kg s^{-1}$

[1990]

Show Answer

Answer:

Correct Answer: 15.(c)

Solution:

  1. (c) Thrust = weight

$\Rightarrow \frac{u d M}{d t}=m g \Rightarrow \frac{d M}{d t}=\frac{m g}{u}$

$=\frac{600 \times 10}{1000}=6 kg s^{-1}$



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