Calculating Difference in Gravity at Different Distances from Earth's Surface

  • Thread starter Thread starter TANMAI
  • Start date Start date
  • Tags Tags
    Gravitation
AI Thread Summary
The discussion focuses on calculating the distance above and below Earth's surface where gravity decreases by 10% of its surface value. The initial calculation provided was 320 km, but the correct answer is 345.6 km. Participants question the accuracy of the formula used, suggesting a misalignment with the original equation presented. The formula discussed is g'/g = (1 - 2h)/R, leading to confusion over its application. Clarification on the formula's correctness is necessary for accurate calculations.
TANMAI
Messages
3
Reaction score
0

Homework Statement



at what distance above the Earth surface and at what depth below the Earth surface,is the acceleration due to gravity less by 10% of its value at surface? R=6400 km

Homework Equations

The Attempt at a Solution


g'/g = (1- 2h)/R
 
Physics news on Phys.org
i have done this problem and the answer is coming out to be 320 km but it is 345.6 km...
 
TANMAI said:
i have done this problem and the answer is coming out to be 320 km but it is 345.6 km...
Well, show us your calculations.
 
fine:smile::smile::smile::smile::smile::smile::smile::smile: 100-10=90/100=0.9 means gh is 0.9 times of g therefore 0.9=2h/R which is 0.9=2h/6400
 
TANMAI said:
fine:smile::smile::smile::smile::smile::smile::smile::smile: 100-10=90/100=0.9 means gh is 0.9 times of g therefore 0.9=2h/R which is 0.9=2h/6400
That doesn't match the formula you have in the OP. Have you written the formula correctly?
 

Thread 'Errors and significant figures'

I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
View full post »
Thread 'Collision of a bullet on a rod-string system: query'

Thread 'Collision of a bullet on a rod-string system: query'

In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
View full post »
Thread 'A cylinder connected to a hanging mass'

Thread 'A cylinder connected to a hanging mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
View full post »

Similar threads

Variation of escape velocity with equal surface gravity
Replies
7
Views
1K
Understanding Gravitational Acceleration at Different Depths on Earth
Replies
4
Views
1K
Why does the gravitational force decrease below the Earth's surface?
Replies
10
Views
3K
Gravitation above and below the earth's surface
Replies
10
Views
11K
How fast should the Earth spin for centripital accel. to equal gravity?
Replies
8
Views
2K
Confusion on product rule for mass of differential volume element
Replies
4
Views
2K
Minimum work required to put object into orbit?
Replies
10
Views
12K
What is the Height of the International Space Station Above the Earth's Surface?
Replies
2
Views
3K
Gravitation sum related to Centripetal Acceleration
Replies
5
Views
3K
Circular Motion and Gravitation
Replies
4
Views
1K

Hot Threads

Recent Insights

Back
Top