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Question

I have not understood this definition of the Newton's Second Law of Motion:
The rate of change of momentum is directly proportional to the applied force, in the direction of the motion.

Please explain to me what is rate of change of momentum and please give examples

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Solution

Newton's second law of motion states that the rate of change of momentum of a body is directly proportional to the net force applied to it and this change in momentum occurs in the direction of the net force.

Force= (Change in momentum) / Time

The formula for the momentum is m*v , where m is the mass of the object and v is the velocity of the object. Rate of change of momentum means the time taken by the object to change its momentum from the initial state to the final stage. If the mass of the object remains constant then the change of momentum is due to the change in velocity. Now the rate of cahnge in momentum is given by change in momentum divided by time taken to change the momentum.

Examples of 2nd law of motion are :

1) PUSH OR PULL: Think about the situation when you are pushing your bicycle versus when you are pushing your car. You require more force to be given to the car in order to move it at an equal acceleration as compared to force required to move your bicycle. Bicycle having less mass than a motor cycle accelerates at a lesser force applied on it. Alternatively, if three of your friends help you push the car, you can push the car easily as compared to you doing it alone. Hence, the mass remained the same but the increased force provided more acceleration!


2) TOSS IT AWAY: How about trying to kick a rock as hard as possible? It probably won’t even budge. But try tossing a pebble in the water and you might just ace it! The same force produced lesser acceleration in case of a heavy mass as compared to a lighter mass.

3)WEIGH YOUR CAPACITY: You must have seen a bunch of people lifting big boxes weighing 100 kgs or more. One average single person cannot even think about moving a 100 kg block, as it will require at least 10 persons. Whereas you always move around with your pencil box in your bag which weighs mere grams.

4)CATCH THE BALL: Catching the ball is a very clear example which uses Newton’s second law of motion. Professional sportsmen swing their hand back once they catch the ball as it provides the ball more time to lose its speed, in turn increasing the Δt and reducing Δp / Δt. This leads to lesser force which the sportsman has to apply!

We can see here that the net force applied on an object depends upon both the mass and the acceleration required, or the rate of change of momentum required. Apart from these aforementioned examples, there are many more practical examples of Newton’s Second Law evident all around us



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