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The radius of the earth is 6380 km, and the height of Mt. Everest is 8848m. If the value of acceleration due to gravity on the top of Mt. Everest is 9.77 m/s, calculate the value of acceleration due to gravity on the surface of the earth. What is the weight of a body of mass 50 kg on the top of Mount Everest?

User Autar
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Final answer:

While the standard value of acceleration due to gravity on Earth's surface is 9.81 m/s², it varies slightly at different locations such as 9.832 m/s² at the North Pole. The weight of a 50 kg body at the top of Mount Everest, with gravity at 9.77 m/s², would be 488.5 newtons.

Step-by-step explanation:

To answer the student's question regarding the acceleration due to gravity at Earth's surface than to calculate it anew, we usually use the standard value of 9.81 m/s². However, the actual value varies slightly with location due to Earth's shape and density differences; for example, at the North Pole, it is measured to be 9.832 m/s². Regarding the weight of a body of mass 50 kg on the top of Mount Everest, it can be found using the formula:

Weight = Mass × Gravity

The given acceleration due to gravity on the top of Mt. Everest is 9.77 m/s². So the weight of a 50 kg body would be:

Weight = 50 kg × 9.77 m/s² = 488.5 N

This means a 50 kg body would weigh 488.5 newtons at the top of Mount Everest.

User Gromiczek
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