The work done on the rock by air resistance is 39019.68 J
Data obtained from the question
- Mass (m) = 45 g
- Velocity (v) = 27 m/s
- Height (h) = 8848 m
- Work done =?
Definition of work
Work is simply defined as the product of force and distance moved in the direction of the force.
Work = Force × distance
From the question given above, we can see that height is involved. Thus,
Work = potential energy
Potential energy = mass (m) × acceleration due to gravity (g) × height (h)
Potential energy = mgh
Therefore,
Work = mgh
With the above formula, we can obtain the work done.
How to determine the work done
- Mass (m) = 45 g = 45 / 1000 = 0.45 Kg
- Height (h) = 8848 m
- Acceleration due to gravity (g) = 9.8 m/s²
- Work done =?
Work = mgh
Work = 0.45 × 9.8 × 8848
Work = 39019.68 J
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