Homework Help: Physics

Posted by Brett on Saturday, April 28, 2012 at 12:50pm.

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 - bobpursley, Saturday, April 28, 2012 at 1:20pm
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

downward force: GMbob*Me/radiusearth^2

the angle sideways is

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

= arc tan(4.69E13/Me * (Re/5200)^2)
Physics - Brett, Saturday, April 28, 2012 at 3:51pm
Thanks a lot. For B the answer was 6.83x10^-4 deg.

Answer this Question

Related Questions

Physics - A pendulum consists of a small object hanging from the ceiling at the ...
Physics - A pendulum consists of a small object hanging from the ceiling at the ...
Physics - A pendulum consists of a small object hanging from the ceiling at the ...
Physics - repost - A pendulum consists of a small object hanging from the ...
physics - A 200g mass is connected by a string to a large mass which is ...
Physics - A pair of fuzzy dice is hanging by a string from your rearview mirror ...
Physics - A 2 kg pendulum bob is hanging from a 30 cm long piece of string. If ...
physics - A bob of mass = 0.250 is suspended from a fixed point with a massless ...
physics - Believe it or not, a plumb-bob does not hang exactly along a line ...
physics - A mass of 2.9 kg is hanging vertically from a string with a length of ...

For Further Reading

First Name:
School Subject:
Answer: