Question

Two particles of masses m and 9m are moving with same kinetic energy, their ratio of
Linear momentum will be
(a) 2:3
(b) 3:1
(c) 3:2
(d) 1:3​

Answer 1

Answer:

Kinetic energy and momentum

Explanation:

★ Kinetic Energy ( E ) = Momentum ( p² ) / 2 × mass of body ( m )

★ Given ;

mass 1 = m

mass 2 = 9 m

[ » Kinetic energy is same « ]

_________________________________________________________________________________

Ke 1 = Ke 2

» P² 1 / 2 × M1 = P² 2 / 2 × mass 2

P² 1 / P² 2 = 2 × mass 1 / 2 × mass 2

P² 1 / P² 2 = Mass 1 / mass 2

P² 1 / p² 2 = 1 / 9

[ by taking square root on both sides ]

★ P1 / P2 = 1 / 3 ★

Option D