A car and a truck are moving at speeds of 35 m / s and 20 m / s, respectively. The mass of a passenger car is 2000 kg.

| January 16, 2021 | education

A car and a truck are moving at speeds of 35 m / s and 20 m / s, respectively. The mass of a passenger car is 2000 kg. What is the mass of a truck if the ratio of the momentum of the truck to the momentum of a passenger car is 2?

Vl = 35 m / s.
Vg = 20 m / s.
ml = 2000 kg.
Pg / Pl = 2.
mg -?
The momentum of the body P is called a physical vector quantity equal to the product of the mass of the body m by its speed V: P = m * V. The momentum of the body P is directed in the same direction as the speed of movement of the body V.
Let us express the impulse of a truck and a car: Рl = ml * Vl, Рg = mg * Vg.
Pg / Pl = mg * Vg / ml * Vl = 2.
mg = 2 * ml * Vl / Vg.
mg = 2 * 2000 kg * 35 m / s / 20 m / s = 7000 kg.
Answer: the mass of the truck is mg = 7000 kg.



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