The gravitational acceleration is 9.81 m/s2 here on Earth at sea level. What is

Question

The gravitational acceleration is 9.81 m/s2 here on Earth at sea level. What is the gravitational acceleration on the top of Mount Everest? It is zero O It is slightly less than 9.81 m/s. It is 9.81 m/s, the same It is significantly greater than 9.81 m/s. It is significantly less than 9.81 m/s2 It is slightly greater than 9.81 m/s Submit Answer Tries 0/3 What is the gravitational acceleration at a height of 350 km above the surface of the Earth, where the International Space Station (ISS) flies? o It is 9.81 m/s2, the same It is somewhat less than 9.81 m/s O It is zero, the ISS is in the state of weightlessness o It is twice of 9.81 m/s2. It is somewhat greater than 9.81 m/s o It is half of 9.81 m/s2. Submit Answer Tries 0/3 What is the gravitational acceleration on the board of the Deepsea Challenger when it is in the Mariana Trench, 11 km below the surface of the Pacific Ocean? It is significantly less than 9.81 m/s O It is slightly less than 9.81 m/s. It is 9.81 m/s, the same It is very large due to the high pressure It is significantly greater than 9.81 m/s. It is slightly greater than 9.81 m/s. O It is zero Submit Answer Tries 0/3

Explanation / Answer

Answer:

gravity does changes with altitude. The gravitational force is proportional to 1/R2, where R is the distance from the center of the Earth.

The radius of the Earth is about 6400 kilometers and Everest is 8,848 metres above sea level

g1/g2 = (r2/r1)^2

9.8/g2 = (6409/6400)^2

9.8/g2 = (1.0014)^2

9.8/g2 = 1.0028

g2 = 9.77

So decreased by about 0.3%.(Slightly less than 9.8)

b)

Accelration due to gravity g= G M/(Re + h)^2

= 6.67 * 10 ^-11 * 5.972 * 10^24 /(6371 + 350)^2

= 8.80m/s^2

c)

slightly less than 9.81 m/s2

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