Question

Derive the expression F - ma using Newton Second Law of motion
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Answer 1

Answer:

Hello frnd,

here ur answer,

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 this answer will clear ur doubts,

mark it brainliest,

best wishes

Answer 2

Answer:

from Newton second law of motion

f∝d(p)/dt

f=k*d(mv)/dt

f=k*m*(dv/dt)

f=k*m*a

f=ma               (k=1)