Impact Force Formula

What is Impact Force?

Impact force is defined as a situation when some work is done to move an object a specific distance. It can be interpreted as the force produced when two items collide. An object collision occurs when one object collides with another. The impact force has a huge impact on an object in a short period of time. It is denoted by the symbol F, where the unit of measurement is Newtons (N) and the dimensional formula is given by [M1L1T-2]. Its formula equals the product of the mass and velocity of a body to the twice time taken. In other words, it is the ratio of kinetic energy possessed by a body to the distance travelled by it....

Impact Force Formula

F = mv/2t where, F is the impact force, m is the mass of the body, v is the velocity of the body, t is the time taken....

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....

Sample Problems

Let’s consider a few problems to find out how to use this formula....