Proof of the formula
Consider an object of mass m that moves with a velocity v when some work W is done on it. The force applied is F and it moves the object to a distance of d units for t seconds.
We know the work done equals the product of fthe orce applied and distance travelled.
W = Fd ⇢ (1)
Also, the work done equals the kinetic energy of the body.
W = K.E. = 1/2 mv2 ⇢ (2)
From (1) and (2) we get,
Fd = 1/2 mv2
F = mv2/2d
Putting d = vt, we get,
F = mv2/2vt
F = mv/2t
This derives the formula for impact force acting on a body.
How to calculate the Impact Force?
Impact force is calculated by finding the ratio of change in momentum of the object(s) involved in collision with the time period of collision. The formula for calculating impact force is:
F = Δp/Δt, where Δp is the change in momentum and Δt is the time period.