Posted by **Sandra** on Friday, May 2, 2014 at 4:37pm.

Mountain pull. A large mountain can slightly affect the direction of “down” as determined by a plumb line. Assume that we can model a mountain as a sphere of radius R = 3.00 km and density (mass per unit volume) 2.6 × 103 kg/m3. Assume also that we hang a 0.250 m plumb line at a distance of 3R from the sphere's center and such that the sphere pulls horizontally on the lower end. How far would the lower end move toward the sphere?

- Physics -
**bobpursley**, Friday, May 2, 2014 at 6:45pm
figure the force of attraction to the sphere, and the force of attration to the Earth.

TanTheta= forcetoSphere/ForceGravity

figure out theta

- Physics -
**Spencer**, Sunday, October 4, 2015 at 10:13pm
use acceleration of gravitation=gravitational constant*mass/(r^2)

use the radius and density to find the mass of the large mountain.

Find the distance from the center of the sphere (mountain) to the plumb.

Find the acceleration due to gravity in the x horizontal direction on the plumb using the equation.

Draw a right triangle with the vertical leg as 9.8 m/ss and the horizontal leg as the acceleration you found.

Use inverse tan to find the angle in the top corner of the triangle. Use the angle and the sin function to find the length of the horizontal leg. (the hypotenuse is 0.250m)

Remember to use proper units and convert km to m!!! check through your work for small mistakes.

## Answer this Question

## Related Questions

- Honors Pre-Calculus - You are traveling in a car toward a certain mountain at a ...
- Math - a surveyor is 3 miles from a mountain. The angle of elevation from the ...
- geography - What is the name of the large mountain range in South America? I ...
- Physics - How would I determine the height of a mountain if I am given direction...
- physics - Q. A person wants to shoot a rocket off of a mountain 3.26 km high so ...
- PreCal - Angel of Elevation: You are skiing down a mountain with a vertical ...
- Trigonometry - Height of a mountain While traveling across flat land, you notice...
- physics - The distance from an observer on the plain to the top of a nearby ...
- physics - The distance from an observer on the plain to the top of a nearby ...
- math - if someone could please help that would be muchly appreciated. A group of...

More Related Questions