A moving body of mass m and velocity 3 km/h collides with a rest body of mass 2 m and stricks to it. Now the combined mass starts to move. What will be the combined velocity?
Velocity is a vector quantity that measures the rate of change of an object’s position with respect to time. It includes both speed and direction. Unlike speed, which is scalar, velocity provides information about the object’s direction of motion. It is expressed in units such as meters per second (m/s).
Chapter 5 of Class 11 Physics explores Work Energy and Power. It defines work as the product of force and displacement and differentiates between kinetic and potential energy. The chapter highlights the principle of conservation of energy which states that energy can neither be created nor destroyed and explains power as the rate of doing work with real-life applications.
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To find the resultant velocity after the collision, we can use the principle of conservation of momentum. Momentum before collision is equal to the momentum after collision.
Let:
– Mass of moving body = m
– Velocity of moving body = v₁ = 3 km/h
– Mass of resting body = 2m
– Velocity of resting body = v₂ = 0 km/h
– Combined mass after the collision = m + 2m = 3m
– Combined velocity after the collision = vբ
Total momentum before collision is:
Momentum Initial = mv₁ + (2m)v₂ = m(3) + (2m)(0) = 3m
Total momentum after collision:
Final Momentum = (3m)vբ
Put the initial momentum equal to final momentum:
3m = 3mvբ
Now solve for բv:
բv = 3m / 3m = 1 km/h
Thus, the resultant velocity after collision is 1 km/hour.
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