2) Figure 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 E0 = 100] and a velocity of L1,, = 0 ?, determine a) the initial height, h, of the box. Also, determine the velocities b) 123 and c) v5 of the box. (Note: The initial energy of the system is ta ken with respect to a coordinate system with origin placed at ground level.) If at the end of the boxesjourney it comes to a complete STOP by slamming into a spring with springconstant k = 100 Nm, d) determine the amount the spring was compressed from it's equilibrium value, x. (Note: The height of the box when it comes to a stop against the spring is 3 3h.)