Here's why:
* Momentum is a measure of the "mass in motion" of an object. It's calculated by multiplying the object's mass (m) by its velocity (v):
* Momentum (p) = mass (m) x velocity (v)
* If you double the mass (m) while keeping the velocity (v) constant, the momentum (p) will also double.
Example:
* Imagine a car with a mass of 1000 kg moving at 20 m/s. Its momentum would be:
* p = 1000 kg * 20 m/s = 20,000 kg*m/s
* If we double the car's mass to 2000 kg, keeping the speed at 20 m/s, the momentum becomes:
* p = 2000 kg * 20 m/s = 40,000 kg*m/s
Therefore, doubling the mass directly doubles the momentum when the velocity remains constant.
