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Question: A rocket of mass 120 kg is fired in the gravity free space. It ejects gases with velocity 600 m/s at...

A rocket of mass 120 kg is fired in the gravity free space. It ejects gases with velocity 600 m/s at the rate of 1 kg/s. What will be the initial acceleration of the rocket ?

A

1 m/s2

B

5 m/s2

C

10 m/s2

D

15 m/s2

Answer

5 m/s2

Explanation

Solution

 Thrust force on the rocket,

F = vdmdtv\frac{dm}{dt} = 600 × 1 = 600 N

 Acceleration of rocket,

a = FN\frac{F}{N}

= 600120\frac{600}{120} = 5 m/s2