Premium Online Home Tutors
3 Tutor System
Starting just at 265/hour
Answer :
Assuming that the first object is object A and the second one is object B, it is given that:
Mass of A (m1) = 100g
Mass of B (m2) = 200g
Initial velocity of A (u1) = 2 m/s
Initial velocity of B (u2) = 1 m/s
Final velocity of A (v1) = 1.67 m/s
Final velocity of B (v2) =?
Total initial momentum = Initial momentum of A + initial momentum of B
= m1u1 + m2u2
= (100) × (2) + (200) × (1) = 400 gm/sec
As per the law of conservation of momentum, the total momentum before collision must be equal to the total momentum post collision.
\(\therefore m_1 u_1 + m_2 u_2 = m_1 v_1 + m_2 v_2 = 400 \)
\( \Rightarrow (100)(1.67) + (200)v_2 = 400 \)
\(\therefore v_2 = \frac{400-167}{200} = 1.165 m/s \)