Question

Solve it.
1. State Newton's second law.
2. Prove F = m.a where the symbols have usual meaning.
3 state the relationship between SI and CGS
Unit of force​

Answer 1

1. Newton's second law of motion pertains to the behavior of objects for which all existing forces are not balanced. The second law states that the acceleration of an object is dependent upon two variables - the net force acting upon the object and the mass of the object

2.

F α dp/dt 

F = k dp/dt

Now,

p (momentum) = mv

So,

F = k d(mv)/dt

F = k md(v)/dt

F = k ma

(As, dv/dt = a)

Experimentally k =1

So,

F=ma

3.The SI unit of force is the newton. Where force is the product of the mass of a body and its acceleration.

The newton(N) the force that will cause a mass of 1kg to accelerate at 1m/s.

The CGS on the other hand is also an SI unit, but refers to the centimeter, gramme and second.

Now, the relationship between the newton(KGMS) and the CGS is:

1 N = 1kgm/s. Now,

1 kg = 1000 gm,

1 m = 100 cm.

. : 1 N = 1000 x 100 CGS,

= 10^5 CGS.

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