Magnitude of g change and mt everest

In summary, the tallest spot on Earth is Mt. Everest at 8841 m above sea level. To calculate the change in the magnitude of g between sea level and the top of Mt. Everest, use the equation g=(M*G)/(r*r) where M is the mass of the Earth, G is the Newton constant, and r is the radius from the center of the Earth to the spot. This can help you solve the problem and submit it before midnight tonight for a grade.
  • #1
babighurl00
Need Help With Hw!

Please help me figure this out..

The tallest spot on Earth is Mt. Everest, whichis 8841 m above sea level. if the radius of the Earth to sea level is 6377 km, how much does the magnitude of g change between sea level and the top of Mt. Everest.

I need to know how to do this and submit it b4 midnight tonight for a grade..please help me
 
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  • #2
The acceleration of gravity g at a spot of the surface of Earth is
g=(M*G)/(r*r)
M is the mass of earth, G is Newton constant and r is the radius from the center of the Earth to the spot
Now is simple to know the answer to your problem
 

1. What is the magnitude of g change at the summit of Mt. Everest?

The magnitude of g change at the summit of Mt. Everest is approximately 0.23 m/s². This means that objects at the summit experience a slightly weaker gravitational pull compared to objects at sea level, where the magnitude of g is 9.8 m/s².

2. Why is there a difference in the magnitude of g at different altitudes?

The magnitude of g is affected by the distance between an object and the center of mass of the Earth. At higher altitudes, such as the summit of Mt. Everest, the distance between an object and the center of mass is greater, resulting in a slightly weaker gravitational pull.

3. How does the magnitude of g change affect the weight of objects at higher altitudes?

Objects will weigh slightly less at higher altitudes due to the weaker gravitational pull. For example, a person who weighs 150 lbs at sea level would weigh approximately 149.5 lbs at the summit of Mt. Everest.

4. Does the magnitude of g change affect the speed at which objects fall at higher altitudes?

Yes, the magnitude of g change will affect the speed at which objects fall at higher altitudes. Objects will fall slightly slower at higher altitudes due to the weaker gravitational pull.

5. How does the magnitude of g change at Mt. Everest compare to other high altitude locations?

The magnitude of g change at Mt. Everest is similar to other high altitude locations, such as the summit of K2 or the peak of Denali. However, the difference in g at these locations is very small and would not be noticeable to the average person.

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