Find the velocity of A and B?? Problem 8 Problem 8 Part B ng Blocks A (mass 7.00

Question

Find the velocity of A and B??

Problem 8 Problem 8 Part B ng Blocks A (mass 7.00 kg ) and B (mass 11.00 kg ) Find the velocity of A when the maximum energy is stored in the spring bumpers. move on a frictionless, horizontal surface. Initially block B is at rest and block A is moving toward it at 6.00 m/s. The blocks are equipped with ideal spring bumpers. The collision is head-on, so all motion before and after the collision is alonga straight line. Let +z be the direction of the initial motion of A -1.33 t,A= m/s Submit My Answers Give Up Incorrect; Try Again; 3 attempts remaining aterials Part C Find the velocity of B when the maximum energy is stored in the spring bumpers 4.66 m/s My Anawers Give Ue Incorrect; Try Again; 3 attempts remaining Part D

Explanation / Answer

m1 = 7 kg

m2 = 15 kg

v1 = 6 m/s

v2 = 0

Now

The maximum spring compression occurs when the velocities are the same (otherwise the spring is compressing or decompressing). To find the common velocity, conserve momentum:
7kg * 6m/s + 0 = 18kg * v
v = 2.33 m/s

initial KE = ½ * 7kg * (6m/s)² = 126 J
final KE = ½ * 18kg * (2.33m/s)² = 48.86 J
so max U = 77.14 J

So For both parts B) and C) velocity is same = 2.33 m/s

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