Answer :
The system is working based on the Conservation of Momentum: A 5kg mass has a speed of 3m/s to the right when it hits and sticks to a 4 kg mass that moves with speed of 0.75m/s to the right (C). Both mass then move together with 2m/s to the right.
Conservation of momentum states that the total momentum of a system remains constant.
P = P'
Momentum is the product of a particle's mass and velocity. Momentum could be formulized as:
P = m.v
From the case, we know that:
m1 = 5kg
m2 = 4kg
v1 = 3m/s to the right
v1' = v2' = v' = 2m/s to the right
v2 = ?
Based on the conservation of momentum concept, we know that:
P = P'
where:
P = m.v
Hence:
P = P'
m1.v1 + m2.v2 = (m1 + m2)v'
5 (3) + 4 (v2) = (5+4) 2
15 + 4v2 = 18
4v2 = 3
v2 = 0.75 m/s --> because v2 positive, hence m2 is moving to the right
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