A firecracker, initially at rest, explodes into two fragments. The first, of mas

Question

A firecracker, initially at rest, explodes into two fragments. The first, of mass 19 g , moves in the positive x direction at 38 m/s . The second moves at 32 m/s .

Part A

Find the mass of the second fragment.

Express your answer using two significant figures.

A firecracker, initially at rest, explodes into two fragments. The first, of mass 19 g , moves in the positive x direction at 38 m/s . The second moves at 32 m/s .

Part A

Find the mass of the second fragment.

Express your answer using two significant figures.

Explanation / Answer

Initial Momentum = 0 , As it was at Rest.

Final Momentum = m1*v1 + m2*v2

Momentum Conservation,
Initial Momentum = Final Momentum

m1 = 19 g
v 1 = 38 m/s
m2 = ?
v2 = - 32 m/s

Substituitng Values -
19 * 38 - m2* 32 = 0
m2 = 19*38/32
m2 = 22.56 g

Mass of Second Fragment , m2 = 22.56 g

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