Here's why:
* Momentum is a measure of an object's mass in motion. It is calculated by the formula:
* Momentum (p) = mass (m) × velocity (v)
* If you decrease the mass (m) by half, while keeping the velocity (v) the same, the momentum (p) will also be reduced by half.
Example:
* Initial mass: 10 kg
* Initial velocity: 5 m/s
* Initial momentum: 10 kg * 5 m/s = 50 kg m/s
* Final mass: 5 kg (half of the initial mass)
* Final velocity: 5 m/s (unchanged)
* Final momentum: 5 kg * 5 m/s = 25 kg m/s (half of the initial momentum)
Therefore, reducing the mass by half directly reduces the momentum by half, assuming the velocity remains constant.