If a rocket with a mass of #3500 tons # vertically accelerates at a rate of # 9/2 m/s^2#, how much power will the rocket have to exert to maintain its acceleration at 15 seconds?

Question

1687 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-09-25T13:10:11

Given
#M->"Mass of rocket"=3500*10^3kg#
#a->"Acceleration"=9/2=4.5m/s^2#

#g->"Acceleration due to gravity"=9.8m/s^2#

#"Velocity after ts "(v)=at#

#"Force applied"(F)=M(g+a)#

#"Power at t s"#

#P(t)=Fxxv=M(g+a)at#

Power #"at "t=15 s#

#P(15)=35xx10^5xx(9.8+4.5)xx4.5xx15W#
#= 3378.375xx10^6 W=3378.375"MW"#