If a rocket with a mass of 2900 tons vertically accelerates at a rate of # 4/9 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 · 2018-01-09T07:39:25

The power is #=51.82MW#

The mass of the rocket is #m=2900000kg#

The acceleration is #a=4/9ms^-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)=2900000*(9.8+4/9)=29708889N#

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

The velocity after #t=4s# is

#v=u+at=0+4/9*4=16/9ms^-1#

The power is

#P=Fv=29708889*16/9=52815802W=51815.8kW=51.82MW#