The mass of a bullet fired by a rifle is how much if the rifle's mass is 1.00 kg and bullet speed is 230 m/sec?

To determine the mass of the bullet fired by the rifle, we can utilize the concept of momentum, which states that the momentum before and after firing must be conserved in a closed system.

Initially, when the rifle is at rest, both the rifle and bullet have no momentum. Once the bullet is fired, the rifle experiences a backward recoil due to the conservation of momentum.

The momentum of the system can be expressed as:

• Momentum of the bullet = mass of the bullet × speed of the bullet
• Momentum of the rifle = mass of the rifle × speed of the rifle (in the opposite direction)

Assuming that the initially stationary system results in zero net momentum, the momentum gained by the bullet will equal the momentum gained by the rifle but in the opposite direction. Therefore, in mathematical terms:

mass_bullet × 230 m/s = mass_rifle × recoil_speed

Given that the rifle's mass is 1.00 kg, we need to rearrange the equation to solve for the mass of the bullet. However, the exact speed of recoil is not provided, but we can take the relationship in such a way that it allows us to find "mass_bullet."

If we set the bullet's mass to a standard unit derived