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The rate of mass of the gas emitted from...

The rate of mass of the gas emitted from the rear of a rocket is initially `0.1 kg//s`. If the speed of the gas relative to the rocket is `50 m//s` and the mass of the rocket is `2 kg` , then the acceleration of the rocket in `m//s^(2)` is

A

5

B

2.5

C

7.5

D

10

Text Solution

Verified by Experts

The correct Answer is:
B
Accelerating force , `F=u (dm)/(dt)`
`therefore a=(F)/(m)= (u)/(m) (dm)/(dt)= (50xx0.1)/(2xx1)= 2.5 m//s^(2)`
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