If a rocket with a mass of #2000 tons # vertically accelerates at a rate of # 3 m/s^2#, how much power will the rocket have to exert to maintain its acceleration at 7 seconds?

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Answer 1 · 2017-06-17T09:24:24

The power is #=126MW#

We apply Newton's Second Law to find the force

#F=ma#

The mass is #m=2000*1000kg=2*10^6kg#

The acceleration is #a=3ms^-2#

The force is

#F=ma=2*10^6*3=6*10^6N#

We apply the equation of motion

#v=u+at#

to calculate the speed at #t=7s#

#v=0+3*7=21ms^-1#

The power is

#P=Fv#

#P=610^6*21=126*10^6W#

#=126MW#