2) Consider the situation depicted in Figure 2: A box of mass m = 250 kg slides down a frictionless rollercoaster. If at the beginning of the slide the box has an energy of E, = 100 J and a velocity of v = 0, determine a) the initial height, h, of the box. Also, determine the velocities b) V8 and c) ve of the box. (Note: The initial energy of the system is taken with respect to a co-ordinate system with origin placed at ground level.) Figure 2 If at the end of the boxes journey it comes to a complete STOP by slamming into a spring with spring-constant k = 100 Nm, d) determine the amount the spring was compressed from it's equilibrium value, Ax. (Note: The height of the box when it comes to a stop against the spring is Eo VA m 0 **** m VR m VC NIF m VD 3 5h m Ax