Question

Kinetic energy can be considered as the work a moving object can do, described by W = Fd. Use Newton's second law of motion (F = ma)

and the motion equation vi? + v;2 = 2ad to show that KE = {mv2. (Assume that the
initial velocity is 0.)

Answer 1

vf²=vi²+2ad (vi = 0)

vf² = 2ad

1/2vf² = ad

F = m.a

W = KE = F.d

KE = m.a.d

KE = m.1/2vf²

`\tt KE=(1)/(2)mv^2`