Question

The summit of Mount Everest is 8848.0 m above sea level, making it the highest summit on Earth. In 1953, Edmund Hillary was the first person to reach the summit. Suppose upon reaching there, Hillary slid a rock with a 45.0 g mass down the side of the mountain. If the rock’s speed was 27.0 m/s when it was 8806.0 m above sea level, how much work was done on the rock by air resistance?

Answer 1

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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