If a rocket with a mass of $2500 tons$ vertically accelerates at a rate of $5/2 m/s^2$ , how much power will the rocket have to exert to maintain its acceleration at 15 seconds?

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Answer 1 · 2017-12-08T06:14:55

The power is $=1153.1MW$

The mass of the rocket is $m=2500000kg$

The acceleration of the rocket is $a=5/2ms^-2$

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

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

$F=m(a+g)=2500000*(9.8+2.5)=30750000N$

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

The velocity after $t=15s$ is

$v=u+at=0+2.5*15=37.5ms^-1$

The power is

$P=Fv=30750000*37.5=1153125kW=1153.1MW$

If a rocket with a mass of 2500 tons 2500 tons vertically accelerates at a rate of 5/2 m/s^2 5/2 m/s^2, how much power will the rocket have to exert to maintain its acceleration at 15 seconds?