Momentum and its Relationship to Mass and Velocity
* Momentum (p) is a measure of an object's mass in motion. It's calculated as:
* p = m * v
* where:
* m is the mass of the object
* v is the velocity of the object
The Scenario
If the mass of an object is doubled (m → 2m) while the velocity remains constant (v), the momentum will also double.
Why?
* Direct Proportionality: Momentum is directly proportional to mass. This means if you increase the mass, you increase the momentum proportionally.
Example:
* Let's say an object has a mass of 5 kg and a velocity of 10 m/s. Its momentum is:
* p = 5 kg * 10 m/s = 50 kg m/s
* If we double the mass to 10 kg, but keep the velocity at 10 m/s, the momentum becomes:
* p = 10 kg * 10 m/s = 100 kg m/s
Key Takeaway:
Doubling the mass of a moving object, while keeping its velocity constant, will result in a doubling of its momentum.
