Two carts sit on a horizontal, frictionless track; the springbetween them is compressed. The small cart has mass m, and the massof the larger cart is M = 5.29m. NOTE: Every velocity needsmagnitude 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 = +4.88 m/s. -Find the velocity of the larger cart. V =
Assume now that the mass of the smaller cart is m = 8.91 kg.Assuming there is no loss of energy: find the energy stored in thespring before the explosion. Wk =
If the spring has spring constant k = 935 N/m: find x, thedistance the spring was compressed before the \"explosion\".
b) Suppose the carts are initially moving together, with thespring compressed between them, at constant velocity vo = +9.39m/s. After the \"explosion\", the smaller cart is moving at velocityv = +4.88 m/s. Find the velocity of the larger cart.
c) Suppose now that the small cart (mass m) is initially movingat velocity vo = +3.3 m/s. At what velocity would the large cart(mass 5.29m) have to be moving so, when they collide and sticktogether, they remain at rest?
If you can show the work/ provide explanation I would greatlyappreciate it :) Thanks
