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>>Systems of Particles and Rotational Motion
>>Linear Momentum of a System of Particles
>> $A 1000 kg rocket is fired from the surfa$

Question

A $1000 k g$ rocket is fired from the surface of the earth so that its exhaust speed is $1000 m / s$ relative to the rocket. If the initial acceleration of the rocket is $5 m / s^{2}$ then the mass of fuel burning per second is
(Take, $g = 10 m / s^{2}$ )

A

15 kg/s

B

5 kg/s

C

10 kg/s

D

20 kg/sec

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Solution

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Correct option is B)

The correct answer is B.

Given,

The weight of rocket $m = 1000 k g$

$S p e e d, v = 1000 m / s$

So, $m a = m^{'} v$ Where $m^{'}$ is the mass of the fuel.

$m^{'} = \frac{m a}{v}$

$= \frac{1 0 0 0 \times 5}{1 0 0 0} = 5 k g / s$

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