# Physics

posted by .

A plumb bob (a mass m hanging on a string) is deflected from the vertical by an angle θ due to a massive mountain.

A) Make an estimate of the mass of Mt. Everest, assuming it has the shape of a cone 3910 m high and base of diameter 3910 m. Assume its mass per unit volume is 3000 kg per m^3.

B)Estimate the angle of the plumb bob if it is 5.20 km from the center of Mt. Everest.

• Physics -

mass estimate= volume*density=1/3 base area*height*density
= 1/3 (PI *(3910/2)^2)*3910*3000kg/m^3
=4.69483305 × 1013

So the angle must then be

sidways force: GMbob*4.69E13/5200^2

the angle sideways is

arctan*forcesideways/forcegravity
= (4.69E13/5200^2)/(Me/Re^2)

= arc tan(4.69E13/Me * (Re/5200)^2)

• Physics -

Thanks a lot. For B the answer was 6.83x10^-4 deg.

## Similar Questions

1. ### physics

A 200g mass is connected by a string to a large mass which is accelerating to the right at 2m/s2. What angle, θ, does the string make from vertical?
2. ### Physics

A pendulum consists of a small object hanging from the ceiling at the end of a string of negligible mass. The string has a length of 0.77 m. With the string hanging vertically, the object is given an initial velocity of 1.8 m/s parallel …
3. ### Physics

A pendulum consists of a small object hanging from the ceiling at the end of a string of negligible mass. The string has a length of 0.88 m. With the string hanging vertically, the object is given an initial velocity of 1.7 m/s parallel …
4. ### Physics

A pendulum consists of a small object hanging from the ceiling at the end of a string of negligible mass. The string has a length of 0.88 m. With the string hanging vertically, the object is given an initial velocity of 1.7 m/s parallel …
5. ### Physics - repost

A pendulum consists of a small object hanging from the ceiling at the end of a string of negligible mass. The string has a length of 0.88 m. With the string hanging vertically, the object is given an initial velocity of 1.7 m/s parallel …
6. ### Physics

A pendulum consists of a swinging mass hanging from a massless string. The hanging mass is 2.0 kg and the string is 400.0 cm long. If the mass has a speed of 8.0 m/s when it passes the lowest point of its swing, a) what is the speed …
7. ### physics

A pendulum consists of a small object hanging from the ceiling at the end of a string of negligible mass. The string has a length of 0.73 m. With the string hanging vertically, the object is given an initial velocity of 2.0 m/s parallel …
8. ### physics

A pendulum consists of a small object hanging from the ceiling at the end of a string of negligible mass. The string has a length of 0.80 m. With the string hanging vertically, the object is given an initial velocity of 2.6 m/s parallel …
9. ### Physics

A mass of 2.63 kg is attached to a string tied to a hook in the ceiling. The length of the string, L, is 0.8 m, and the mass is released from rest at an initial position in which the string makes an angle θ of 40.4o with the vertical. …
10. ### Math

A plumb bob is a weight hung at the end of a string, called a plumb line. The weight pulls the string down so that the plumb line is perfectly vertical. Suppose that the angle formed by the wall and the roof is 123° and the angle …

More Similar Questions