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In which of the following scenarios can momentum not be conserved? (Assume a one

ID: 1609907 • Letter: I

Question

In which of the following scenarios can momentum not be conserved? (Assume a onedimensional collision and no total energy gain.) Mass of Cart B > mass of Cart A. Explain.

(a) Cart A traveling in the positive direction hits Cart B, initially at rest. After the collision Cart A moves in the negative direction and Cart B moves in the positive direction.

(b) Cart A traveling in the positive direction hits Cart B, initially at rest. After the collision, both carts move in the positive direction.

(c) Cart B traveling in the positive direction hits Cart A, initially at rest. After the collision Cart B moves in the negative direction and Cart A moves in the positive direction.

(d) Cart B traveling in the positive direction hits Cart A, initially at rest. After the collision, both carts move in the negative direction.

(e) None of the above

Explanation / Answer

in option D momentum can't be conserved

(d) Cart B traveling in the positive direction hits Cart A, initially at rest. After the collision, both carts move in the negative direction.

as we know

m1u1 + m2u2 = m1v1 + m1v2

m1u1 = m1v1 + m2v2

for this condition it is not possible