Question

State Newton’s second law of motion. Derive, its mathematical expression. ​

Answer 1

Answer:

Newton's second law, which states that the force F acting on a body is equal to the mass m of the body multiplied by the acceleration a of its centre of mass, F = ma, is the basic equation of motion in classical mechanics.

Answer 2

Explanation:

Simply the second law states that,

the rate of change of momentum is directly proportional to the applied force and it acts along the direction of that applied force.

F is proportional to delta p/ delta t,

where delta p is the momentum change and delta t is the time interval in which the force acts on the given body.

or, F = k delta p/ delta t , k is a constant

or, F = delta p/ delta t , k =1 according to experiment

or, F = m × v/ t, momentum p = mass × velocity

or, F = m × a , mass =m, velocity =v, acceleration =a, acceleration = velocity/ time.

Therefore, F = ma.

Thank you.And if possible follow me and ask for any help.