1.

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 mnute after blast ?A. `25"ms"^(-2)`B. `50"ms"^(-2)`C. `10"ms"^(-2)`D. `35"ms"^(-2)`

Answer» Correct Answer - 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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