Question

Prove that F = ma
plz help...​

Answer 1

Answer:

Suppose an object of mass m has an initial velocity u. When a force of F is applied in the direction of its velocity for time t, its velocity becomes v.

∴The initial momentum of the object = mu,

Its final momentum after time t = mv.

∴Rate of change of momentum =

Change in momentum ÷ Time.

∴Rate of change of momentum =

(mv - mu) ÷ t = m (v-u) ÷ t = ma.

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

∴ ma ∝ F

∴ F = k ma ( k = Constant of proportionality and its value is 1. )

F = m × a.

 

HOPE IT HELPS YOU

Answer 2

Explanation:

we know by Newton's second law