Answer to Question #92354 in Mechanics | Relativity for Fatima

Question

4)A rocket of mass 2*10(4)kg accelerates at 200m/s2 for 30s from an initial speed of 5000m/s
a) How fast will be rocket travelling after the 30s?
b) How much kinetic energy has the rocket gained?

Answer 1

a) After the 30s the speed of the rocket would be $v=v_0+at=11000\:\mathrm{ m/s}$, where $v_0$ is the initial speed and $a$ is the acceleration.

b) The rocket gained $E=\frac{mv^2}{2}-\frac{mv^2_0}{2}=9.6\cdot 10^{11}\:\mathrm{J}$ of kinetic energy within this 30s.