All Problems

Universal Gravitation

Problem 1.206

Find the potential energy of the gravitational interaction (a) of two mass points of masses m1m_{1} and m2m_{2} located at a distance rr from each other; (b) of a mass point of mass mm and a thin uniform rod of mass MM and length ll, if they are located along a straight line at a distance aa from each other; also find the force of their interaction.

Reveal Answer
1.206. (a) U=γm1m2/rU=-\gamma m_{1} m_{2} / r (b) U=γ(mM/l)ln(1+l/a)U=-\gamma(m M / l) \ln (1+l / a) F=γmM/a(a+l)F=\gamma m M / a(a+l)