Calculate the correct answer:
State the law of conservation of linear momentum and prove it.
Statement:
There is of bodies as long as acts on them.
Proof:
Consider two bodies, \(A\) and \(B\), having masses \(m_1\) and \(m_2\), move with an initial velocity \(u_1\) and \(u_2\) in a straight line.
Let the initial velocity of the body, \(A\) be higher than that of the body, \(B\). i.e., \({u_1} > {u_2}\).
During a period of time \(t\) \(second\), they tend to have a collision. After the impact, both bodies move along the same straight line with a velocity \(v_1\) and \(v_2\), respectively.
Force on body B due to A,
Force on body A due to B,
If \(m_1\) = 4 \(kg\) and \(m_2\) = 5 \(kg\), and their initial velocities are \(u_1\) = 11 \(m/s\) and \(u_2\) = 2 \(m/s\), and after collision the velocity of the first body becomes \(v_1\) = 7 \(m/s\), what is the final velocity \(v_2\) of the second body?
Final velocity \(v_2\) \(=\) \(m/s\)
[Note: Enter the answer upto 2 decimal places.]