JEE Main Physics question

Physics Work, Energy and Power JEE Main

A body moving with velocity v has momentum and kinetic energy numerically equal. What is the value of v?

(A)2 ms⁻¹Correct
(B)√2 ms⁻¹
(C)1 ms⁻¹
(D)0.2 ms⁻¹

Answer: (A)

Solution

K = ½mv², p = mv. Setting K = p numerically: ½mv² = mv ⟹ v = 2 ms⁻¹.

Question ID VK-153570