a pair of carts sit on a frictionless track. Assume the mass of the larger cart is 3.68 times the mass of the small cart, In this system, however, there is a spring between the carts which can "explode", pushing on the two carts at once..

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 +5.59 m/s.

- Find the velocity of the larger cart. m/s

- If the mass of the smaller cart is 3.17 kg, find the energy supplied by the spring to the carts. J

- If the spring has spring constant k = 148 N/m, find the distance the spring was compressed before the "explosion". m

HINT: Think conservation of energy!

b) Suppose the carts are initially moving together at constant velocity +7.8 m/s. After the "explosion", the smaller cart is moving at velocity +5.59 m/s. Find the velocity of the larger cart.

m/s

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