Blocks A (mass 2.50 ) and B (mass 13.00 ) move on a frictionless, horizontal sur

Question

Blocks A (mass 2.50 ) and B (mass 13.00 ) move on a frictionless, horizontal surface. Initially, block B is at rest and block A is moving toward it at 10.0 . 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 be the direction of the initial motion of A.
A)Find the maximum energy stored in the spring bumpers and the velocity of each block at that time.
Find the maximum energy.
B)Find the velocity of A.
C) Find the velocity of B.
D)Find the velocity of each block after they have moved apart.
Find the velocity of A.
E) Find the velocity of B.

Explanation / Answer

initial energy=2.5*100*0.5=125 J when max enegy of spring occurs,both blocks move with same velocity so each velocity=2.5*10/(15.5)=1.613 m/s so spring max energy=125-0.5*1.613^2*(2.5+13)=104.836 J (2.) after they have moved apart Va=3.225 vb=0

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