Question

What is the momentum of a body of mass 2kg having kinetic energy?

Answer 1

Let K be the kinetic energy and p be the momentum.

therefore,

$k = \frac{1}{2} m {v}^{2} \\ \\ = > k = \frac{1}{2 \: m} ( {mv})^{2} \\ \\ = > k = \frac{ {p}^{2} }{2m} \\ \\ = > p = \sqrt{2mk} \\ \\ = > p = \sqrt{2 \times 2k} \\ \\ = > p = 2 \sqrt{k}$


Required moment is 2√k