Two carts of equal mass, m = 0.260 kg , are placed on a frictionless track that

Question

Two carts of equal mass, m = 0.260kg, are placed on a frictionless track that has a lightspring of force constant k = 49.2 N/m attached toone end of it, as in the figure below. The red cart is given an initial velocity of v0 =2.57 m/s to the right, and the blue cart is initially atrest. If the carts collide elastically, find the magnitude of thevelocity of the red cart just after the first collision. Find the magnitude of the velocity of the bluecart just after the first collision. Find the maximum compression in thespring

Explanation / Answer

the magnitude of the velocity of the red cart just after the firstcollision. v=0 (mass of each object is the same) the magnitude of the velocity of the blue cart justafter the first collision.v=v0 =2.57 m/s the maximum compression in the spring m*2.57^2/2=k*x^2/2 =>x=0.19 m=19 cm

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