Suppose that, in a distant galaxy, there is a solar system in which, instead of being spheres, the planets are right circular cones (with heights equal to the diameters of their bases). Suppose one of these planets has the same total volume and mass as our Earth, but a uniform density.

What would be the gravitational acceleration on a person standing in the center of the circular base, and what would be the gravitational acceleration on a person standing at the apex?

Assume the Earth is a perfect sphere with a radius of 6,370 km and an average density of 5,518 kg/m^3. Use a value of 6.673×10-11 N m^2/ kg^2 for G. Express your answers correct to three significant figures.

(In reply to soln by Steven Lord)

Admittedly, I didn't consider that I could calculate the acceleration due to gravity on earth for this problem.  Since the data was there in the problem statement, I like Steven's approach better.  One less assumption.  Nice job.

Posted by Kenny M on 2024-12-18 04:28:43