Motion of Orbiting Satellites

AP Physics 1· difficulty 4/5

r 9r

A moon at orbital radius rr has period TT. A second moon orbits the same planet at radius 9r9r. What is its period in terms of TT?

  • A

    81T81T

  • B

    27T27T

    check_circle
  • C

    3T3T

  • D

    9T9T

Explanation

Kepler's third law: T2r3T^2 \propto r^3. So T2/T=(9)3/2=27T_2/T = (9)^{3/2} = 27.

Want 10 more like this — adaptive to your weak spots?

Related questions