2 balls have masses of 50 gm and 100 gm and they are moving along the same line in the same direction with velocities of 3 m /s and 1.5 m / s respectively. They collide with each other and after the collision, the first ball moves with a velocity of 2.5 m /s. Calculate the velocity of the other ball after collision
Answers
Answer:
2 balls have masses of 50 gm and 100 gm and they are moving along the same line in the same direction with velocities of 3 m /s and 1.5 m / s respectively. They collide with each other and after the collision, the first ball moves with a velocity of 2.5 m /s. Calculate the velocity of the other ball after collision
ANSWER ⤵️
Given:
The mass of first ball = m
1 = 50 g = 0.05 kg
The mass of the second ball = m
2 = 100 g = 0.1 kg
Initial velocity of the first ball = u
1 = 3 m/s
Initial velocity of the second ball = u2 = 1.5 m/s
Final velocity of the first ball = v
1 = 2.5 m/s
To find:
Final velocity of the second ball = v
2 = ?
We know that, total initial momentum = Total final momentum.
= m1u1 + m2u2 = m1v1 + m2v2
= (0.05 × 3) + (0.1 × 1.5) = (0.05 × 2.5) + (0.1 × v2)
= (0.15)+(0.15) = 0.125 + 0.1v2
= 0.3 = 0.125 + 0.1 v2
= 0.1v2 = 0.3 - 0.125
= v2 = 0.175/0.1
= 1.75 m/s