1. The problem statement, all variables and given/known data Two carts sit on a horizontal, frictionless track; the spring between them is compressed. The small cart has mass m, and the mass of the larger cart is M = 4.65m. NOTE: Every velocity needs magnitude and direction (given by the sign). a) Suppose the carts are initially at rest, and after the "explosion" the smaller cart is moving at velocity v = +8.71 m/s. - Find the velocity of the larger cart. V = (answer) m/s - Assume now that the mass of the smaller cart is m = 6.36 kg. Assuming there is no loss of energy: find the energy stored in the spring before the explosion. Wk = (answer)J - If the spring has spring constant k = 276 N/m: find x, the distance the spring was compressed before the "explosion". 2. Relevant equations F=kx PE(spring) = 1/2 kx^2 MV+MV=MV+MV 3. The attempt at a solution part a) I know that if both carts have the same mass then both will be moving away from each other at the same speed after the spring explodes, so it would be -8.71 . But one cart has higher mass, so one cart will move faster away. So I use the conservation of momentum formula MV+4.65M*O = M8.71+4.65M*V what do I do, solve for V? I cant, the algebra does not work out, am I missing a formula?