UPSEE Solved Model Paper 2

As Retardation is directly proportional to displacement
a α - x ⇒ a = - kx
F = - kmx
Using work energy theorem
Work done = change in the Kinetic energy
dW = Fdx = - kmxdx
Total work done
W = ∫ dW = ∫ Fdx = - ∫ kmxdx
W = −km

x2

2

Or we can say loss of the Kinetic energy is proprtional to x2