10(a) A shell of mass M is moving with speed V. An internal explosion generates an amount of energy E and breaks the shell into two portions whose masses are in the ratio m: m2. The fragments continue to move in the original line of motion of the shell. Show that their speeds are V+ 2mE m,M 2m,E and V- mM (b) An un-damped oscillator is subject to the restorative force -max and an applied force mF, sin cot. Find the motion assuming that initially when t=0,x=0 and x = 0. 8