Does Acceleration Depend on an Object’s Mass and the Net Force?
Answer – Yes, acceleration depends on an object’s mass and the net force.
Explanation:
According to Newton’s second law of motion, the rate of change of momentum of an object with time is equal to the force acting on it.
Momentum is given by mass m times velocity v. If the object has a constant mass, then the force F applied on the object is proportional to the resulting change in velocity with time.
Consider that the velocity increases from v₀ to v₁ with change in time from t₀ to t₁.
Then, F .
Since acceleration is equal to the change in velocity with time, . This is the equation for Newton’s second law of motion.
Therefore, the law can also be stated as follows:
When mass is constant, the acceleration of an object resulting from a net force is directly proportional to the magnitude of the force applied in the same direction. This also means that acceleration is inversely proportional to the mass.
Thus, it is evident that acceleration depends on an object’s mass and the net force acting on it.
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