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A rocket of initial mass 6000kg ejects m...

A rocket of initial mass `6000kg` ejects mass at a constant rate of `16kg//s` with constant relative speed of `11m//s` What is the acceleration of the rocket one minute after blast ?

A

`25"ms"^(-2)`

B

`50"ms"^(-2)`

C

`10"ms"^(-2)`

D

`35"ms"^(-2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Acceleration of the rocket at any instant t is `a=(v_(r)(dm)/(dt))/(m-t(dm)/(dt))`
Here, M=6000kg, `(dm)/(dt)=16kgs^(-1)`
`v_(r)=11kms^(-1)=11000ms^(-1), t=min =60s`
`therefore a=[(11000xx16)/(6000-60xx16)]ms^(-)approx 35ms^(-2)`
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