Weight difference at Mt. Everest summit vs. sea level

  • Thread starter Thread starter pauladancer
  • Start date Start date
  • Tags Tags
    Difference Weight
Click For Summary
Ned's weight difference at the summit of Mt. Everest compared to sea level can be calculated using gravitational equations. The gravitational field strength at sea level is approximately 9.80 N/kg. To find his weight at the summit, the radius of the Earth must be adjusted to account for the altitude of 8,850 m. The gravitational force decreases slightly with altitude, affecting Ned's weight. Understanding how to apply the gravitational formulas correctly is essential for solving this problem.
pauladancer
Messages
26
Reaction score
0

Homework Statement


Ned climbs to the peak of Mt. Everest, the tallest peak on Earth at 8850 m above sea level. Ned's mass is 95 kg, the mass of Earth is 5.98 x 1024 kg, and Earth's radius is 6.37 x 106 m. What is the difference in Ned's weight when comparing his weight at the top of the mountain to his weight at sea level?

Homework Equations


Fg = Gm1m2 / r2
g = Gm / r2
g = Fg / m

The Attempt at a Solution


I think I have the field strength equal to 9.80 N using the equation g = Gm / r2 . After that I'm lost, I have no idea how to get his weight at the top of the mountain!
 
Physics news on Phys.org
Sorry, mass of Earth should be 5.98 x 1024kg and radius of Earth should be 6.37 x 106m
 
pauladancer said:
I have no idea how to get his weight at the top of the mountain!
Same formula, but are all the variables in it the same value?
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

Similar threads

  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 11 ·
Replies
11
Views
5K
  • · Replies 5 ·
Replies
5
Views
4K
  • · Replies 4 ·
Replies
4
Views
4K
Replies
9
Views
5K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 17 ·
Replies
17
Views
3K
  • · Replies 17 ·
Replies
17
Views
6K