16. Two of Jupiter's Galilean moons, lo and Europe, make a complete revolution around it
over the periods T1=1.77 days and T2 = 3.55
days. Knowing that lo revolves around Jupiter
at a distance of 421600 km, determine the
linear velocity of Europe's motion in its orbit.

The linear velocity of europe's motion in its orbit is 7875.58 km/hr.

Explanation:

Given that,

Time period of lo = 1.77 days

Time period of europa = 3.55 days

Distance of lo from jupiter = 421600 km

We know that,

Distance of europa from jupiter = 671000 km

We need to calculate the linear velocity of europe's motion in its orbit

Using formula of velocity

Where, d = distance between europa and jupiter

t = time

Put the value into the formula

Hence, The linear velocity of europe's motion in its orbit is 7875.58 km/hr.

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