Answer to Question #144678 in Optics for aysha

Question

A body A of mass m1 = 5 kg moving along a directed axis in the positive sense with a velocity of 15 m/s collides head-on with a body B of mass m2 = 8 kg moving in the negative sense with a velocity of 4 m/s. If the velocity of m1 after the collision is 4m/s in the negative sense. Apply your scientific knowledge and understanding of impulse and momentum theorem to find the final velocity of m2

Answer 1

Solution

We are applying momentim conservation

$m_1u_1+m_2u_2=m_1v_1+m_2v_2$

Where

u₁and u₂ are initial velocity

And v₁ and v₂ are final velocity.

Using all data in question

$5\times15-8\times4=-5\times4+8\times v_2\\v_2=7.8m/s$