derive mathematical form of Newton's law of motion
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. Similarly, when two same forces are applied to push a car and a bus, the car will have more acceleration compared to the bus. From these examples, it is clear that the acceleration gained by an object when subjected to the same magnitude of the force is a factor of the mass of the object. Similarly, a small bullet when at rest doesn’t harm the person handling it whereas when loaded in a gun and fired with high velocity, it can kill a person. Hence, it can be concluded that along with mass, velocity also affects the With these examples, we can conclude that the impact produced by an object depends on its mass and velocity i.e., its momentum and the time rate at which the change in momentum is occurring. The second law of motion is used to validate this way.
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