A ball weighing 1kg has a velocity of 4m/s after falling through a vertical distance of 1m. How much energy is lost to the atmosphere? (Take g = 10 m/s^2)
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Concept:
- Any object at some height above the earth's surface will have some potential energy due to gravitational field.
- and this type of conservative force get change into Kinetic energy whenever any loss, gain happens.
- Together they known as mechanical energy.
But due to resistive forces present in atmosphere some of energy get lost in the form of heat.
Solution:
According to attached image, the motion of the ball is from A to B.
At "A"
- Energy = potential energy = U
- U = mgh = 1 × 10 × 1 = 10J
At "B"
- Energy = kinetic energy = K
- K = ½ mv² = ½ × 1 × (4)² = ½ × 1×4 ×4
- K = 2 × 4 = 8J
Energy lost = initial energy - final energy
- U - K = 10J - 8J = 2J
☆so, 2J of energy is lost to the atmosphere.
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