The center-to-center distance between a 200-g lead sphere and an 800-g lead sphere is 0.120 m. A 1.00-g object is placed 0.0800 m from the center of the 800-g sphere along the line joining the centers of the two spheres. (a) Ignoring all sources of gravitational force except the two spheres, calculate the gravitational force exerted on the object.
(b) Determine the gravitational potential energy per gram at the position of the object.
(c) How much work is needed to bring the object 0.0400 m closer to the 800-g sphere?

Ateam of astronauts is on a mission to land on and explore a large asteroid. in addition to collecting samples and performing experiments, one of their tasks is to demonstrate the concept of the escape speed by throwing rocks straight up at various initial speeds. with what minimum initial speed vesc will the rocks need to be thrown in order for them never to "fall" back to the asteroid? assume that the asteroid is approximately spherical, with an average density p 3.84 x108 g/m3 and volume v 2.17 x 1012 m3 recall that the universal gravitational constant is g 6.67 x 10-11 n m2/kg2

Agas contained within a piston-cylinder assembly undergoes three processes in series: process 12: compression with pv= constant from 1 bar and 1 liter to 4 bar. process 23: constant pressure expansion to 1 liter. process 31: constant volume calculate the pressure and volume at each state, and sketch the processes on a p-vdiagram labeled with pressure and volume values at each numbered stat

You are about to open a container of soy milk but notice that there are instructions to “shake well before serving.” the soy milk is most likely a