A 2,000 kg rocket is launched 12 km straight up at a constant acceleration into the sky at which point the rocket is travelling at 750 m/s. a) How much work was done by the rocket? b) What is the magnitude of the acceleration of the rocket? c) How long did the flight take?

797700000 J

Explanation:

From the question,

The work done by the rocket, is given as,

W = Ek+Ep Equation 1

Where Ek and Ep are the potential and the kinetic energy of the rocket respectively.

Ep = mgh Equation 2

Ek = 1/2mv² equation 3

Substitute equation 2 and equation 3 into equation 1

W = mgh+1/2mv² Equation 4

Where m = mass of the rocket, h = height, v = velocity of the rocket, g = acceleration due to gravity.

Given: m = 2000 kg, h = 12 km = 12000 m, v = 750 m/s, g = 9.8 m/s²

Substitute into equation 4

W = 2000(12000)(9.8)+1/2(2000)(750²)

W = 235200000+562500000

W = 797700000 J