If a rocket with a mass of #2000 # tons vertically accelerates at a rate of # 6 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 · 2017-06-17T06:22:07

The power is #=504MW#

#F=ma#

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

The acceleration is #a=6ms^-2#

The force is

#F=ma=2*10^6*6=1.210^7N#

We apply the equation of motion

#v=u+at#

to calculate the speed at #t=7s#

#v=0+6*7=42ms^-1#

The power is

#P=Fv#

#P=1.210^7*42=50.410^7W#

#=504MW#