Question

To prove that F=Ma the equation of motion of a particle of mass M is x = 4t+1/2at 2.
Calculate the value of force acting on it?​

Answer 1

Explanation:

v=ut+

2

1

×gt

2

Differentiate y with respect to t which gives velocity as dy/dt = v

dt

dv

= u+

2

1

g(2t)

v=u + gt -------------------Eqn (1)

Differentiate v with respect to t which gives velocity as d2y/dt2 = dv/dt = a

dt

dv

= 0 + g

a = g ----------------------Eqn (2)We know that force acting on a mass m is given by F = ma

Now from Eqn (2), substitute a =g, Hence, F = mg