(a)[2]
Calculate the spacecraft's momentum.
(b(i))[3]
The spacecraft's fuel detonates and the craft breaks into two pieces. The direction of motion of the pieces remains the same. After the explosion, the front section speeds up to $9000\,\text{m s}^{-1}$. Its mass is $150\,\text{kg}$. Calculate the speed of the rear section after the explosion.
(b(ii))[1]
After the explosion, the combined kinetic energy of the two pieces is larger than the spacecraft's original kinetic energy. State the energy transfer that occurs in the explosion.
(b(iii))[3]
The explosion lasts for $0.20\,\text{s}$. Calculate the average force acting on the front part over this interval.