Blocks A (mass 6.50kg ) and B (mass 13.00kg ) move on a frictionless, horizontal

Question

Blocks A (mass 6.50kg ) and B (mass 13.00kg ) move on a frictionless, horizontal surface. Initially, block B is at rest and block A is moving toward it at 10.0m/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.

Part B

Find the velocity of A.

vA =

Part C

Find the velocity of B.

vB =

Part D

Find the velocity of each block after they have moved apart.
Find the velocity of A.

vA =

Part E

Find the velocity of B.

vB =

Explanation / Answer

given data

mass of A m1 =6.5 kg

mass of B m2 = 13 kg

B)

velcoity of A

Va=u1 = 10 m/s

c)

velocity of B

Vb=u2 =0

after collision

d)

velocity of A

v1=(m1-m2)u1/(m1+m2) +2m2u2/(m1+m2) = (6.5-13)10/(6.5+13) +2*13*0/(6.5+13)

V1 = -3.333 m/s

e)

velocity of B

v2 = m2-m1)u2/(m1+m2) +2m1u1/(m1+m2) = 2*6.5*10/(6.5+13) =130/19.5 =6.66 m/s

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