Question

A 3 kg mass moving at 18 metre per second collides with a 90 kg mass moving at 14.4 metre per second in the opposite direction find velocity of each makes after the collision if it is inelastic collision

Answer 1

Answer:14.5 m\s for both

Explanation:

Answer 2

ANSWER:

The final velocity after collision is $v_{f}=14.5 \mathrm{m} / \mathrm{sec}$

EXPLANATION:

In Inelastic Collision, the bodies if travel in opposite direction collides together and after that they stick to each other after collision as the momentum before collision was zero and after striking the momentum becomes zero again, therefore the formula for the velocity(final) is  

Let us take the momentum before and after as $P_{b}, P_{a}$

$P_{b}=P_{a}$

Now comparing the velocities of the two objects we get, the value of final velocity as

$m_{1} v_{1}+m_{2} v_{2}=\left(m_{1}+m_{2}\right) v_{f}$

$3 \times 18+90 \times 14.4=(93) v_{f}$

Therefore, the final velocity after collision is $v_{f}=14.5 \mathrm{m} / \mathrm{sec}$