Here's why:
* Momentum: Momentum is a measure of how much motion an object has. It's calculated as the product of an object's mass (m) and its velocity (v):
* Momentum (p) = mass (m) × velocity (v)
* Doubling Speed: If you double the speed (velocity) of an object, while keeping its mass constant, you are directly doubling the value in the momentum equation. Since momentum is directly proportional to velocity, doubling the velocity results in doubling the momentum.
Example:
* Imagine a car with a mass of 1000 kg moving at a speed of 10 m/s.
* Its momentum would be 1000 kg * 10 m/s = 10,000 kg·m/s.
* If the car's speed is doubled to 20 m/s:
* Its momentum becomes 1000 kg * 20 m/s = 20,000 kg·m/s.
Therefore, doubling the speed directly doubles the momentum.
