Question

Write the newtons second law of motion. Provd that F=ma

Answer 1

Answer:

The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force

Explanation:

we know that ,

rate of change momentum  is = force

dp/dt=f according to the statement  equ -1

p=mv substiuting in equ 2 in  we get     equ 2

d(mv)/dt=f by difrrentiating both m and v

mdv/dt+vdm/dt=f   according to newton mass does not vary with time so dm/dt=0

then mdv/dt=f equ 3

we know that rate of change of velocity is accelaration dv/dt=a sub in equ 3

we get

f=ma