The mass of Jupiter is 1.9 * 1027 and that of the sun is 1.99 * 1030. The

mean distance of Jupiter from the sun is 7.8 * 1011m. Calculate the gravitational

force which the sun exerts on Jupiter, and the speed of Jupiter.

F = 4.147 * 10^23

v = 1.31 * 10^4

Explanation:

Given the following:

mass of Jupiter (m1) = 1.9 * 10^27

Mass of sun (m2) = 1.99 * 10^30

Distance between sun and jupiter (r) = 7.8 * 10^11m

Gravitational force (F):

(Gm1m2) / r^2

Where; G = 6.673*10^-11 (Gravitational constant)

F = [ (6.673*10^-11) * (1.9 * 10^27) * (1.99 * 10^30) ] / (7.8 * 10^11) ^2

F = [25.231 * 10^ (-11+27+30) ] / (60.84 * 10^22)

F = (25.231 * 10^46) / (60.84 * 10^22)

F = 3.235 * 10^ (46 - 22)

F = 0.4147 * 10^24

F = 4.147 * 10^23

Speed of Jupiter (v):

v = √ (Fr) / m1

v = √[ (4.147 * 10^23) * (7.8 * 10^11) / (1.9 * 10^27)

v = √32.3466 * 10^ (23+11) / 1.9 * 10^27

v = √32.3466 * 10^34 / 1.9 * 10^27

v = √17. 023 * 10^34-27

v = √17.023 * 10^7

v = 13047.221

v = 1.31 * 10^4