If a rocket with a mass of #900 tons # vertically accelerates at a rate of # 8 m/s^2#, how much power will the rocket have to exert to maintain its acceleration at 4 seconds?

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Answer 1 · 2018-03-06T10:28:25

The power is #=512.6MW#

The mass of the rocket is #m=900000kg#

The acceleration of the rocket is #a=8ms^-2#

The acceleration due to gravity is #=9.8ms^-2#

According to Newton's second Law, the net force on the rocket is

#F=m(a+g)=900000*(9.8+8)=16020000N#

Assuming that the initial velocity of the rocket is #u=0ms^-1#

The velocity after #t=4s# is

#v=u+at=0+8*4=32ms^-1#

The power is

#P=Fv=16020000*32=512640000W=512.6MW#