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A rocket motor consumes 100 kg of fuel p...

A rocket motor consumes 100 kg of fuel per second exhausting it with a speed of `6 xx 10^(3) ms^(-1)` What thrust is exerted on the rocket ? What will be the velocity of the rocket at the instant its mass is reduced to `(1 // 40)` of its initial mass ? Take initial velocity of rocket as zero . Neglect gravity .

A

`1000 ms^(-2)`

B

`100 ms^(-2)`

C

`10 ms^(-2)`

D

`1 ms^(-2)`

Text Solution

Verified by Experts

The correct Answer is:
D
`(dm)/(dt) = 0.1 kg//s`, Mass of the rocket = 100 kg
v = 1km/s = 1000 m/s
`F =(d(mv))/(dt) = m(dv)/(dt) -v(dm)/(dt) =0`
As the mass is decreasing
100a - 1000 ` xx 0.1 =0` or `a = +1 m//s^(2)`
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