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# How Newton's second law about force is explained?

 Posted Date: 09-Mar-2012 Last Updated: 09-Mar-2012 Category: Education Author: Suryakant Laxman Raut Member Level: Gold Points: 25

Newton's second law of motion is about relation between force and acceleration .Body moves in direction of force. Momentum is product of mass and velocity of object in motion. Rate of change of momentum is directly proportional to the force acting on it. Body moves in the direction of force.

## theory of Newton's second law of motion

Newton's Second law of motion is relation between force and momentum. Law states that, "the rate of change of momentum of moving object is directly proportional to force and moves towards the direction of force."

## What is velocity of object?

Velocity of moving object is displacement of body from initial position to final position in unit time. If moving object start moving from point 'A' to point 'B' then displacement of body is distance between point 'A' and point 'B'. This distance traveled in time "t". Velocity of body is displacement divided by time. Suppose object is moving and displacement is 10 meter in time 20 seconds from left to right direction. Then velocity of this moving body is 10 meter divided by 20 second is equal to 0.5 meter/second from left to right. Note: velocity is vector so have direction. Momentum of any moving object is product of mass of object and velocity of object. Suppose, object of mass 5 Kilogram is moving with velocity of 10 m/sec then momentum of object is calculated as momentum of object = 5 Kg * 10 m/sec = 50 Kg m/sec. This is important term for understanding second law of motion.

## How force acting on body?

Force acting on object pushes the object in direction of force. This is moving object from one place to another place. If any person is pulling stone from right to left then he is acting force on that object from right to left. Object falling from tower have downward force of gravitation by earth.

## How mass and weight differ from each other?

Mass of object is the total matter it contains. Mass is responsible for weight of object. Mass and weight are different terms. Weight is force exerted on object by earth. Mass is material in object. If material of object more; then weight also more. If mass of body is less; then weight is also less.

## How to calculate momentum change?

Rate of change in momentum of object in motion is condition for second law. If object have initial momentum as m1 and final momentum m2 then change of momentum is m2-m1. This change is happen in time "t" then we can calculate rate of change of momentum is = (m2-m1)/t. In this way rate of change of momentum is calculated.

## How Newton's law to this system of force applicable?

Now, we are applying the rate of change of momentum or second law in this situation as follow. Force is directly proportional to rate of change of momentum. We can derive one constant term k for proportionality. Then equation become as follows. Force = constant*(rate of change of momentum). Now, equation constant is nothing but mass of object or body. Then this equation is written as Force = constant*{(mv2-mv1)/t}}. Now after taking common term m out of bracket equation become as follows. Force = constant*m{v2-v1/t)}. Here mass common in this equation and taken out. Now In bracket term is change in velocity that is acceleration. a = v2-v1/t. Equation will written as Force = mass* acceleration. i.e. F = ma. This is force acting on body. Second part of law is this force is acting in direction of force.

## How Examples are universal for Newton's second law of motion

All moving bodies in this universe are following this law of motion. Take a stone is moving by force application. Now this stone is moving and velocity is changing. Rate of change in velocity is acceleration of this body given externally. This body move and this body have mass m then force acting on body is F = ma.

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Responses to "How Newton's second law about force is explained?"
Author: Phagu Mahato    05 Apr 2012Member Level: Gold   Points : 0
There are various uses of Newton’s application in our daily life, with the help of Newton’s second law we can consider the definition of Force. The mathematical explanation of force, F=MA

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