Io is one of Jupiter\'s moons discovered by Galileo. Io is slightly larger than

Question

Io is one of Jupiter's moons discovered by Galileo. Io is slightly larger than Earth's Moon. The mass is 8.93 times 10^22 kg and the mass of Jupiter is 1.90 times 10^27 kg. The distance between the centers of lo and Jupiter is 4.22 times 10^5 meters Calculate the force of attraction that Jupiter exerts on lo. Calculate the force of attraction that lo exerts on Jupiter. Calculate the centripetal acceleration of lo due to the gravitational force exerted by Jupiter. Calculate the orbital velocity of lo.

Explanation / Answer

a) F = GmM / r^2

G = gravitational constant = 6.67e-11 m^3kgs^-2

F= 6.35e22 N

b) same as a

c) a = F/m = 0.711 m/s^2

d) v = sqrt(ar) = 17321 m/s

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