When considering Newton's second law, if your car has less mass but the same amount of force applied to it, the acceleration of the car would increase. This is because acceleration is inversely proportional to mass when force is constant. In simpler terms, with less mass, the car would require less force to achieve the same acceleration compared to a car with more mass.
Here's a breakdown of how this works:
1. Newton's second law states that acceleration is directly proportional to the net force acting on an object and inversely proportional to the mass of the object. The formula for this relationship is: \( F = ma \), where \( F \) is the net force, \( m \) is the mass, and \( a \) is the acceleration.
2. If the force applied to the car remains constant but the mass of the car decreases, according to the formula \( F = ma \), a smaller mass would result in a larger acceleration because the force is now acting on a lighter object.
3. This means that a car with less mass would accelerate more quickly than a car with more mass, given the same amount of force applied. In essence, reducing the mass of the car while keeping the force constant would lead to an increase in acceleration.
Therefore, if your car had less mass but the same amount of force was applied, its acceleration would be higher due to the reduced mass requiring less force to achieve the same acceleration compared to a heavier car.
