Question

Two trucks are travelling along a straight line with the leading truck travelling at 20 km/hr and the following truck travelling at 30 km/hr.
If the leading truck has a mass of 10 tonnes and the velocity of the two trucks after Impact is 26 km/hr find the mass of the second truck.

Answer 1

Answer on Question #58188 – Physics – Mechanics | Relativity

Two trucks are travelling along a straight line with the leading truck travelling at 20 km/hr and the following truck travelling at 30 km/hr.

If the leading truck has a mass of 10 tonnes and the velocity of the two trucks after Impact is 26 km/hr find the mass of the second truck.

Solution

According the conservation of momentum law:

$$m _ {1} v _ {1} + m _ {2} v _ {2} = (m _ {1} + m _ {2}) v$$ $$m _ {2} = m _ {1} \frac {v - v _ {1}}{v _ {2} - v} = \frac {2 6 - 2 0}{3 0 - 2 6} 1 0 \text { tonnes} = 1 5 \text { tonnes}$$

Answer: 15 tonnes.

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