A planetâs moon revolves around the planet with a period of 39 Earth days in an approximately circular orbit of radius of 4.8Ã10^8 m. How fast does the moon move?

Question

asked Sep 9, 2020 207k views

1 Answer

Durgesh Suthar · Answer 1 · 2020-09-13T16:52:50+0000

Answer:

v = 895 m/s

Step-by-step explanation:

Time period is given as 39 Earth Days

T = 39 days * 24 hr * 3600 s

T = 3369600 s

now the radius of the orbit is given as

r = 4.8 * 10^8 m

so the total path length is given as

$L = 2 \pi r$

$L = 2\pi (4.8 * 10^8)$

L = 3.015 * 10^9

now the speed will be given as

v = (L)/(T)

v = (3.015 * 10^9)/(3369600)

v = 895 m/s