Question

A railway wagon of mass 0.5 tonnes and moving with a velocity of 10 kmh–1 is hit from behind by another railway

wagon of mass 1.5 tonnes and moving with 15 kmh–1, such that after collision they move together. Calculate the

final velocity of the wagons
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Answer 1

Answer:

V = 13.716 Km/h or 3.81 m/s

Explanation:

m₁ = 0.5 T                            m₂ = 1.5 T

    = 500 Kg                              = 1500 Kg

u₁ = 10 km/h                          u₂ = 15 km/h

   = 2.77 m/s                              = 4.16 m/s

                            V = ?

( m₁u₁ ) + ( m₂u₂ ) = (m₁ + m₂)V

( 500×2.77) + (1500×4.16) = (500+1500)V

1385 + 6240 = 2000V

7625 = 2000V

7625/2000 = V

3.8125 = V

V = 3.81 m/s

V = 13.716 Km/h