A car of mass 1000 kg travels at 30 m/s runs into the back of a stationary lorry. The car and lorry move at 4 m/s after impact. Determine the mass of the lorry.
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According to the law of conservation of momentum,
m1u1 + m2u2 = (m1 + m2)v
where
m1 = mass of the car = 1000 kg
m2 = mass of the lorry = 9000 kg
u1 = initial velocity of the car = 30 m/s
u2 = initial velocity of the lorry = 0 m/s
v = velocity of the car and lorry combined together, after collision.
v = (m1u1 + m2u2 )/(m1 + m2)
= (1000 x 30 + 9000 x 0)/(1000 + 9000)
= 30,000/10,000
= 3 m/s.
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