Question

Импульс: пуля летит со скоростью 72 км/ч, масса 300 г, разрывается на два осколка массой 100 г и 200 г. Найти скорость осколка большей массы, если скорость осколка меньшей массы составляет 60км/ч

Answer 1

По закону сохранения импульса: 72*300=60*100+x*200;
x=(72*300-60*100)/200;
x=78 (км/ч)

Answer 2

Calculation of the Velocity of the Larger Fragment

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

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

Total momentum before explosion = Total momentum after explosion

The total momentum before the explosion is the momentum of the bullet, which can be calculated as:

Momentum of bullet = mass of bullet * velocity of bullet

Given that the mass of the bullet is 300 g (0.3 kg) and the velocity of the bullet is 72 km/h, we can convert the velocity to m/s:

Velocity of bullet = 72 km/h = (72 * 1000) / (60 * 60) m/s = 20 m/s

Substituting the values into the equation, we have:

Total momentum before explosion = (0.3 kg) * (20 m/s) = 6 kg·m/s

After the explosion, the bullet fragments into two pieces with masses of 100 g (0.1 kg) and 200 g (0.2 kg). Let's assume the velocity of the smaller fragment is 60 km/h, which can be converted to m/s:

Velocity of smaller fragment = 60 km/h = (60 * 1000) / (60 * 60) m/s = 16.67 m/s

To find the velocity of the larger fragment, we can rearrange the equation:

Total momentum after explosion = (mass of smaller fragment) * (velocity of smaller fragment) + (mass of larger fragment) * (velocity of larger fragment)

Substituting the values into the equation, we have:

6 kg·m/s = (0.1 kg) * (16.67 m/s) + (0.2 kg) * (velocity of larger fragment)

Simplifying the equation, we can solve for the velocity of the larger fragment:

Velocity of larger fragment = (6 kg·m/s - (0.1 kg) * (16.67 m/s)) / (0.2 kg)

Calculating the value, we find:

Velocity of larger fragment ≈ 26.67 m/s

Therefore, the velocity of the larger fragment is approximately 26.67 m/s.