Question

A block of mass 2 kg is allowed to fall from a height of 40 cm on a spring of force constant of 1960 Nm^-1. What will be maximum compression in spring?

Answer 1

or x² - 2x - 80 = 0

or x² - 10x + 8x - 80 = 0

or x(x - 10) + 8(x - 10) = 0

or x(x - 10)(x + 8) = 0

∴ x = 10 and x = -8

Therefore x = 10 cm (on considering positive value only)