Question

An object of mass 100 kg is accelerated uniformly from a velocity of 5 m/s to 8 m/s in 6 s. Calculate the initial and final momentum of the object. Also, find the magnitude of the force exerted on the object.

Answer 1

Given,
Mass of the object (m) = 100 kg
Initial velocity (u) = 5 m/s
Final velocity (v) = 8 m/s and time = 6 s
We know, momentum (p) of an object is given by,
p = m v
Thus, Inital momentum = mass x inital velocity (u) = m u = 100 kg x 5 m/s = 500 kg m/s
Final momentum = mass x final velocity (v) = m v = 100 kg x 8 m/s = 800 kg m/s
Also, force exerted on a body equals change in momentum per unit time.
Thus, force (f) = (800 - 600) / 6 = 200/6 = 33.33 N