If a rocket with a mass of #2000 tons # vertically accelerates at a rate of # 4 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 · 2017-06-08T06:34:43

See explanation.

From the text we know that:

#m=2000t=2,000,000 kg#

#a=4 m/s^2#

#t=7s#

We have to calculate the power:

#P=W/t#

To calculate work we have to use theformula:

#W=F*s#

To calculate force we use:

#F=m*a#

The way #s# can be calculated as:

#s=(at^2)/2#

#s=(4*49)/2=98m#

#F=2,000,000*4=8,000,000 N#

#W=8,000,000*98=784,000,000 J#

Finally the power is:

#P=(784,000,000)/7=112,000,000W=112 MW#

Answer:

The power of the rocket is

#P=112,000,000W=112 MW#