Question

Пуля массой 10 г вылетела из ружья со скоростью 38,4 км/мин. Вследствие отдачи ружьё приобрело скорость 1,6 м/с. Какова масса ружья? Я решал, но у меня оно 66 грамм получилось, как то подозрительно лёгкое ​

Answer 1

Ответ:

4 кг

Объяснение:

m=10г.*0,64м/с/1,6м/с.=4 кг.

Answer 2

Calculation of the Rifle's Mass

To calculate the mass of the rifle, we can use the principle of conservation of momentum. According to this principle, the total momentum before the bullet is fired is equal to the total momentum after the bullet is fired.

The momentum of an object is given by the product of its mass and velocity. Therefore, we can write the equation:

Initial momentum of the bullet + initial momentum of the rifle = final momentum of the bullet + final momentum of the rifle

The initial momentum of the bullet is given by the product of its mass and velocity:

Initial momentum of the bullet = mass of the bullet * velocity of the bullet

The final momentum of the bullet is given by the product of its mass and velocity:

Final momentum of the bullet = mass of the bullet * final velocity of the bullet

The initial momentum of the rifle is given by the product of its mass and velocity:

Initial momentum of the rifle = mass of the rifle * velocity of the rifle

The final momentum of the rifle is given by the product of its mass and velocity:

Final momentum of the rifle = mass of the rifle * final velocity of the rifle

Since the bullet is fired in the opposite direction to the rifle's recoil, the final velocity of the bullet is equal to the negative of its initial velocity:

Final velocity of the bullet = -velocity of the bullet

Substituting these values into the conservation of momentum equation, we get:

(mass of the bullet * velocity of the bullet) + (mass of the rifle * velocity of the rifle) = (mass of the bullet * -velocity of the bullet) + (mass of the rifle * final velocity of the rifle)

Simplifying the equation, we have:

mass of the bullet * (velocity of the bullet + velocity of the bullet) = mass of the rifle * (final velocity of the rifle - velocity of the bullet)

Given the values: - Mass of the bullet = 10 g = 0.01 kg - Velocity of the bullet = 38.4 km/min = 640 m/s - Final velocity of the rifle = 1.6 m/s

We can now substitute these values into the equation to solve for the mass of the rifle:

(0.01 kg * (640 m/s + 640 m/s)) = mass of the rifle * (1.6 m/s - 640 m/s)

Simplifying further:

0.02 kg * 1280 m/s = mass of the rifle * (-638.4 m/s)

mass of the rifle = (0.02 kg * 1280 m/s) / (-638.4 m/s)

Calculating the mass of the rifle using these values, we find:

mass of the rifle ≈ 0.04 kg

Therefore, the mass of the rifle is approximately 0.04 kg.

Please note that the calculated mass of the rifle is an approximation and may not be exact due to rounding errors or other factors.