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Concepts Of Physics MCQ Edition [Volume 1]PhysicsGravitation

Determine the acceleration due to gravity at the summit of Mount Everest, which is the highest mountain peak in the world with an elevation of 8848 m . The value of gravity at sea level is 9.80 m/s ^2 .

Options

  1. A9.74 m/s ^2
  2. B9.79 m/s ^2
  3. C9.77 m/s ^2
  4. D9.83 m/s ^2

Correct answer

C. 9.77 m/s ^2

Step-by-step solution

The acceleration due to gravity at a height h above the surface of the Earth is given by the formula: g' = g (1 - 2h R ) where R is the radius of the Earth ( R 6.37 10^6 m ) and g is the acceleration due to gravity at sea level. Given: h = 8848 m g = 9.80 m/s ^2 Substituting the values into the formula: g' = 9.80 (1 - 2 8848 6.37 10^6 ) g' = 9.80 (1 - 17696 6370000 ) g' = 9.80 (1 - 0.00277) g' = 9.80 0.99723 g' 9.77 m/s ^2

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