Why does velocity *decrease* when *force* is applied to an object with *increasing mass*, assuming the force remains constant?
Here's why:
* Newton's Second Law of Motion: This law states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. Mathematically:
* a = F/m (where a = acceleration, F = force, m = mass)
* Relationship between Acceleration and Velocity: Acceleration is the rate of change of velocity. So, if acceleration decreases, velocity will also decrease.
Explanation:
1. Constant Force: When you apply a constant force to an object, the force determines the *acceleration* the object experiences.
2. Increasing Mass: As the mass of the object increases, the acceleration *decreases* (due to the inverse relationship in Newton's Second Law).
3. Decreasing Velocity: Because acceleration is the rate of change of velocity, a decrease in acceleration means a decrease in the rate at which velocity changes. This ultimately results in a slower velocity.
Example:
Imagine pushing a shopping cart.
* Empty Cart: The cart accelerates quickly because its mass is low.
* Full Cart: When you add items (increasing the mass), the cart accelerates more slowly. Even though you're pushing with the same force, the increased mass reduces the acceleration, making the cart move slower.
Important Note: This explanation assumes the force is constant. If the force were to increase proportionally to the mass, then velocity wouldn't decrease, as the acceleration would remain constant.
