Blocks A (mass 6.50kg ) and B (mass 14.50kg ) move on a frictionless, horizontal
ID: 2199476 • Letter: B
Question
Blocks A (mass 6.50kg ) and B (mass 14.50kg ) move on a frictionless, horizontal surface. Blocks A (mass 6.50kg ) and B (mass 14.50kg ) move on a frictionless, horizontal surface. Initially, block B is at rest and block A is moving toward it at 3.00 m/s . The blocks are equipped with ideal spring bumpers. The collision is head-on, so all motion before and after the collision is along a straight line. Let +x be the direction of the initial motion of A. . 1) Find the maximum energy stored in the spring bumpers and the velocity of each block at that time. Find the maximum energy. 2) Find the velocity of A 3) Find the velocity of B 4) Find the velocity of each block after they have moved apart. Find the velocity of A. 5) Find the velocity of B.Explanation / Answer
1)Initially velocity of block A = 3 m/s = u1 2)Initially velocity of block B = 0 m/s = u2 3)Collision is elastic =>v2-v1 = u1-u2 = 3 =>v2 = v1+3 where v1,v2 are the velocities of A and B after collision. Momentum is conserved =>m1u1 + m2u2 = m1v1 + m2v2 =>(6.5*3) = 6.5v1 + 14.5v1 + (14.5*3) =>v1 = -1.14 m/s.......velocity of A v2 = 1.86 m/s....velocity of B