A body of mass 6kg with a velocity of 20m/s,collides and hit another body with a mass of 5kg, calculate the common velocity after collision
To calculate the common velocity after the collision, we can use the principle of conservation of momentum. The total momentum before the collision should be equal to the total momentum after the collision.
Before the collision, the momentum of the first body (with mass 6 kg) can be calculated by multiplying its mass by its velocity:
Momentum of the first body before collision = mass of the first body × velocity of the first body
= 6 kg × 20 m/s
= 120 kg·m/s
Similarly, the momentum of the second body (with mass 5 kg) can be calculated:
Momentum of the second body before collision = mass of the second body × velocity of the second body
= 5 kg × 0 m/s (because the second body is at rest initially)
= 0 kg·m/s
Since momentum is conserved, the total momentum before the collision should be equal to the total momentum after the collision. Therefore,
Total momentum before collision = Total momentum after collision
(6 kg × 20 m/s) + (5 kg × 0 m/s) = (6 kg + 5 kg) × common velocity after collision
Simplifying the equation, we get:
120 kg·m/s = 11 kg × common velocity after collision
Now, let's solve for the common velocity after the collision:
common velocity after collision = 120 kg·m/s ÷ 11 kg
≈ 10.91 m/s
Therefore, the common velocity after the collision is approximately 10.91 m/s.