Please help me with this problem: http://session.masteringphysics.com/problemAss

Question

Please help me with this problem: http://session.masteringphysics.com/problemAsset/1007466/22/5614.jpg http://session.masteringphysics.com/problemAsset/1007466/22/5614.jpg A satellite of mass "m" is in a circular orbit ofradius R_2 around a spherical planet of radius R_1 madeof a material with density "rho". ( R_2 is measured from thecenter of the planet, not its surface.) Use G for theuniversal gravitational constant. Part A: Find the kinetic energy of this satellite,K. Part B: Part C: What is the ratio of the kinetic energy ofthis satellite to its potential energy? Express K/U in terms ofparameters given in the introduction. What is the ratio of the kinetic energy ofthis satellite to its potential energy? Express K/U in terms ofparameters given in the introduction.

Explanation / Answer

A:     K = 1/2 mv2     F = ma = mv2 / R2 = GMm /R22     So K = 1/2 mv2 = 1/2 GMm /R2     M = 4/3 rho(R1)3       K = 2/3 rho m (R1)3 / R2 B:     U = - GMm/ R2           = -4/3 rho m (R1)3 /R2 C:     K/U = -1/2

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.