The satellite Io is one of the moons orbiting Jupiter. The orbit of Io may be assumed to be a circle. The centre of Io is at a distance of 4.22 × 105 km from the centre of Jupiter and it has an orbital speed of 1.73 × 104 m s-1.
State the direction of the gravitational force which keeps Io in its orbit.
Calculate the orbital period T T\,T of Io in seconds.
Calculate the mass M M\,M of Jupiter. (The gravitational constant G=6.67×10−11 m3 kg−1 s−2G = 6.67 \times 10^{-11}\text{ m}^3\text{ kg}^{-1}\text{ s}^{-2}G=6.67×10−11 m3 kg−1 s−2)
