Question

derivation of second law of motion. no spaming​

Answer 1

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.

Answer 2

Answer:

ok,

madam,,

Derivation:

Suppose an object of mass m has an initial velocity u. When a force F is applied in the direction of it's velocity for time t, it's velocity becomes v.

•°• The initial momentum of the object = mu

It's final momentum after time t = mv.

•°• Rate of change of momentum = (Change of momentum) / Time

•°• Rate of change of momentum =

(mv- mu) / t

= m(v - u) / t

= m × a .........(v - u / t = a)

P = ma.

According to Newton's second law of motion, the rate of change of momentum is directly proportional to applied force.

•°• ma α F

•°• F = K ma

F = ma

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