A light body and a heavy body have the same kinetic energy. Which one will have greater momentum?

A light body and a heavy body have the same kinetic energy. Which one

1.	A light body and a heavy body have the same kinetic energy. Which one will have greater momentum?
Answer» SOLUTION :GIVEN DATA `E_1 - E_2` `1/2 m_1v_1^2= 1/2 m_2v_2^2` or` (v_2^2)/(v_1^2) = m_1/m_2 " or" v_2/v_1 = sqrt(m_1/m_2)` As `P_2 = m_2v_2" and " P_1 = m_1v_1` `P_2/P_1 = (m_2v_2)/(m_1v_1) = m_2/m_1 sqrt(m_1/m_2) = sqrt( (m_2^2 m_1)/(m_1^2 m_2))` ` = P_2/P_1 = sqrt(m_2/m_1) , ` if ` m_2 GT m_1` then `P_2 gt P_1` i.e. a heavier body has GREATEST linear momentum