Question

How are kinetic energy and momentum related? calculate the kinetic energy if an object having mass 20kg moving with velocity 54km/hr

Answer 1

$k.e = \frac{1}{2}m {v}^{2} \\ k.e = \frac{ {m}^{2} {v}^{2} }{2m} \\ k.e \times 2m = {m}^{2} {v}^{2} \\ 2mk.e = ( {mv})^{2} \\ p = \sqrt{2m \times k.e} \\ \\ m = 20kg \\ v = 54km.hr = 15m.s \\ k.e = \frac{1}{2} \times 10 \times 15 \times 15 \times \\ k.e = 1125joules \\ p = \sqrt{2 \times 10 \times 1125} \\ p = \sqrt{22500} = 150kg.m.s$