A body of mass 20 kg moving with a velocity of 80 m/s collied with another body mass of 5
kg moving with a velocity of 50 m/s. If they move together after colision. Find common velocity.
Momentum = M1*V1-M2*V2 = 20*80-5*50 = 1350.
M1*V + M2*V = 1350
20*V + 5*V = 1350
25V = 1350
V = 54 m/s.
They are acts to at the different direction.thus each other not cancel.
To find the common velocity after the collision, we can use the principle of conservation of momentum. According to this principle, the total momentum before the collision is equal to the total momentum after the collision.
The momentum of an object is defined as the product of its mass and velocity. So, we can calculate the momentum of each object before the collision:
Momentum of the first body (20 kg) = mass × velocity = 20 kg × 80 m/s = 1600 kg m/s
Momentum of the second body (5 kg) = mass × velocity = 5 kg × 50 m/s = 250 kg m/s
The total momentum before the collision is the sum of the momentum of both bodies:
Total momentum before collision = 1600 kg m/s + 250 kg m/s = 1850 kg m/s
Since the two bodies move together after the collision, their masses will combine. The mass of the bodies after the collision is the sum of their individual masses:
Total mass after collision = 20 kg + 5 kg = 25 kg
Now, we can find the common velocity after the collision using the conservation of momentum principle. The total momentum after the collision is equal to the total momentum before the collision:
Common velocity × total mass after collision = total momentum before collision
Common velocity = total momentum before collision / total mass after collision
= 1850 kg m/s / 25 kg
= 74 m/s
Therefore, the common velocity after the collision is 74 m/s.