Question

derive F=ma fast please​

Answer 1

so buddy here is ur desired answer

Derive relation F = ma from Newton 2nd Law of Motion

Let us derive the relation of force F = ma from Newton’s second law:

According to the Newton’s 2nd 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.

It means that the linear momentum will change faster when a bigger force is applied.

Consider a body of mass ‘m’ moving with velocity v.

The linear momentum of a body is given by:

p = mv

Now According to Newton’s 2nd Law of Motion:

Force is directly proportional to rate of change of momnetum, that is

F α dp/dt

F = k dp/dt

F = k d(mv)/dt

F = k md(v)/dt

F = k ma

Experimentally k =1

F = k ma

Which is the required equation of force.

hope it helps u ;-)

wishes-vinay

Answer 2

Heyy here is ur ans.....

according to Newton's second law of motion the rate of change of linear momentum of a body is directly proportional to the external force applied on the body and this change takes place always in the direction of applied force i.e

=> change in linear momentum / Time taken is directly proportional to applied force ......

Hope it helps you☺☺

Thankyou✌