The tank moves at a speed of 18 km / h, and the truck at a speed of 72 km / h. The mass of the tank is 36 tons.
| September 30, 2021 | education
The tank moves at a speed of 18 km / h, and the truck at a speed of 72 km / h. The mass of the tank is 36 tons. What is the mass of the truck, if it is known that its momentum is equal to the momentum of the tank.
Initial data: VT (tank speed) = 18 km / h (5 m / s); Vg (truck speed) = 72 km / h (20 m / s); mt (tank weight) = 36 t (36 * 10 ^ 3 kg); the momentum of the truck is equal to the momentum of the tank.
We determine the mass of the truck from the equality: mt * Vt = mg * Vg, whence mg = mt * Vt / Vg.
Calculation: mg = 36 * 10 ^ 3 * 5/20 = 9 * 10 ^ 3 kg (9 tons).
Answer: The weight of the truck is 9 tons.
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