Derive The Mathematical Formula Of Newton S Second Law Of Motion

According to the newton s 2 nd law of motion the rate of change of linear momentum of a body is directly proportional to the applied external force and in the direction of force.

Derive the mathematical formula of newton s second law of motion.

Newton s second law describes the affect of net force and mass upon the acceleration of an object. The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force in the same direction as the net force and inversely proportional to the mass of the object. It is used to predict how an object will accelerated magnitude and direction in the presence of an unbalanced force. It experiences only the downward force of gravity which has magnitude w.

Newton s second law of motion can be formally stated as follows. Newton s second law of motion newton s second law establishes a relationship between the force f acting on a body of mass m and the acceleration a caused by this force. Consider an object with mass mfalling downward toward earth. The acceleration a of a body is directly proportional to the acting force f and inversely proportional to its mass m that is a f m or f ma m d2r dt2.

Newton s first law says that an object remains in uniform motion unless acted on by a net force. When a net force is applied the object accelerates. Derive relation f ma from newton 2nd law of motion let us derive the relation of force f ma from newton s second law. Using galileo s result and newton s second law we can derive an equation for weight.

Newton s second law states that the magnitude of the net external force on an object is fnet ma. Second law of motion formula.