Need help can anyone help me with this collision problem

4 m/s

Explanation:

From the question given above, the following data were obtained:

Mass of 1st cart (m₁) = 20 kg

Initial velocity of 1st cart (u₁) = +6 m/s

Mass of 2nd cart (m₂) = 30 kg

Finally velocity of both cart (v) = 0 m/s

Initial velocity of 2nd cart (u₂) =?

The initial velocity of the 2nd cart can be obtained as follow:

m₁u₁ – m₂u₂ = v(m₁ + m₂)

(20 × 6) – (30 × u₂) = 0 (20 + 30)

120 – 30u₂ = 0(50)

120 – 30u₂ = 0

Collect like terms

– 30u₂ = 0 – 120

– 30u₂ = – 120

Divide both side by –30

u₂ = –120 / –30

u₂ = 4 m/s

Thus, the 2nd (i.e the 30 kg) cart was initially moving with a velocity of 4 m/s.

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