Compute the gravitational force between the sun (M = 1.99 x 10^30 kg) and the planet Uranus(m = 14.5Me, obital radius r = 19.2 AU).
a. 1.39 x 10^21 N
b. 1.39 x 10-21 N
c. 13.9 x 10^21 N
d. 139 N
2006-07-20 04:11:10 · 2 answers · asked by Lou 1 in Science & Mathematics ➔ Astronomy & Space
From google, the universal gravitational constant,
G = 6.67300 × 10^11 m^3 kg^-1 s^-2
and the Astronomical Unit,
AU = 149,598,000,000 meters
mass of Earth,
Me = 5.9742 × 10^24 kilograms
So,
r=19.2 * 1.49598 x 10^11
=2.87 x 10^12
m (of Uranus) = 14.5 * 5.9742 × 10^24
=8.66 x 10^25
so
GMm/r^2= 6.67300 × 10^11 * 1.99 x 10^30 * 8.66 x 10^24 / (2.87 x 10^12)^2
=1.39 x 10^21 N
which is a.
2006-07-20 05:01:28 · answer #1 · answered by campbelp2002 7 · 16⤊ 2⤋
Come on man, open your physics book...
The equation for gravitational force is
F = GMm/(r^2)
where G = gravitational constant (look it up)
M = mass of sun
m = mass of Uranus
r = orbital radius
Make sure you do the proper connversions because you will probably find G in terms of: N m^2 kg^-2
2006-07-20 11:38:17 · answer #2 · answered by AresIV 4 · 0⤊ 0⤋