Question

F is a directly proportional by the time
F=m×a what is derivation of this formula and why?
Prove it hardly
N=kg×m/s it is 2nd formula of force why prove it
What is use of force explain with derivation and 1example

I mark on brilliant answers

Answer 1

In Newton's second law of motion we get that F is directly proportional to rate of change of momentum.
we know that p=mv , a=v/t
so,
F proportional to dp/dt
F=k dp/dt
F=k dmv/dt
F=k md(v)/dt
F=k ma
if, k=1
F=ma
Here,,,
p is momentum
m is mass
v is velocity
a is acceleration
t is time
F is force
k is constant which we replace in place of proportional
Dimensional formula for Force:
F=ma
F=kgm/s2
mass unit is kg
acceleration units are m/s2
We denote kgm/s2 as Newton..