The same force acts on two objects with different masses. Why does the object with less mass have a larger acceleration?
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you exert the same forces on two objects of different masses
The acceleration of an object is determined by the net force acting on it and its mass. According to Newton's second law of motion, the acceleration of an object is directly proportional to the net force applied to it and inversely proportional to its mass.
Mathematically, this can be expressed as:
Acceleration = Net Force / Mass
Given that the force acting on both objects is the same, if the mass of one object is smaller, the denominator in the equation will be smaller. As a result, the acceleration of the object with less mass will be larger, since there is less mass to resist the force and therefore less inertia to overcome.
To better understand why the object with less mass has a larger acceleration, you can perform a simple thought experiment. Imagine pushing two similarly sized but differently weighted objects, like a basketball and a bowling ball, with the same amount of force. The lighter basketball will accelerate faster because it has less mass to resist the force applied.
So, to summarize, the object with less mass has a larger acceleration when the same force is applied because it has less inertia to overcome.