Question

Снаряд масою 100 кг, що летить горизонтально з швидкістю 500 м/с попадає у вагон з піском масою 10т. Знайти щвидкість вагона після зіткнення, якщо він рухався з швидкістю 36 км/год назустріч снаряду.

Answer 1

M₁=100 кг
v₁=500 м/с
m₂=10 т=10000 кг
v₂=36 км/год=10 м/с

v=?

v=(p₂-p₁) / (m₁+m₂)=(m₂v₂-m₁v₁) / (m₁+m₂)=(10000 кг * 10 м/с) / (100 кг + 10000 кг) = 4,95 м/с.

Вiдповiдь: пiсля зiткнення вагон рухався зi швидкiстю 4,95 м/с.

Answer 2

Calculation of the velocity of the wagon after the collision

To find the velocity of the wagon after the collision, we can use the principle of conservation of momentum. According to this principle, the total momentum before the collision is equal to the total momentum after the collision.

The momentum of an object is calculated by multiplying its mass by its velocity. In this case, we have a projectile with a mass of 100 kg and a velocity of 500 m/s, and a wagon with a mass of 10,000 kg and an initial velocity of 36 km/h.

First, let's convert the initial velocity of the wagon from km/h to m/s: - 36 km/h = 36,000 m/3600 s = 10 m/s

Now, let's calculate the total momentum before the collision: - Momentum of the projectile = mass of the projectile * velocity of the projectile - Momentum of the projectile = 100 kg * 500 m/s = 50,000 kg·m/s

- Momentum of the wagon = mass of the wagon * velocity of the wagon - Momentum of the wagon = 10,000 kg * 10 m/s = 100,000 kg·m/s

The total momentum before the collision is the sum of the momenta of the projectile and the wagon: - Total momentum before the collision = Momentum of the projectile + Momentum of the wagon - Total momentum before the collision = 50,000 kg·m/s + 100,000 kg·m/s = 150,000 kg·m/s

According to the principle of conservation of momentum, the total momentum after the collision will also be 150,000 kg·m/s.

Now, let's find the velocity of the wagon after the collision. We can rearrange the equation for momentum to solve for velocity: - Momentum = mass * velocity - Velocity = Momentum / mass

- Velocity of the wagon after the collision = Total momentum after the collision / mass of the wagon - Velocity of the wagon after the collision = 150,000 kg·m/s / 10,000 kg = 15 m/s

Therefore, the velocity of the wagon after the collision is 15 m/s.

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