Question

2 Jupiter orbits the sun in a nearly circular path with radius 7.8x10^11m. The orbital period of Jupiter is 12 years.

The mass of Jupiter is 2.0 x 10^27 kg. predict the mass of the Sun.

Answer 1

Mass of Jupiter=1.9×10

27

㎏=M

1

Mass of Sun=1.99×10

30

㎏=M

2

Mean distance of Jupiter from Sun=7.8×10

11

m=r

G=6.67×10

−11

N㎡㎏

−2

Gravitational Force, F=

r

2

GM

1

M

2

F=

(7.8×10

11

)

2

6.67×10

−11

×1.9×10

27

×1.99×10

30

F=4.16×10

23

N