Using your density-based roche limit calculated above, estimate the roche limit for a comet which has been captured by saturn's gravitational field. 8. [1mark] comets have a mean density of around 600kg m-3 and saturn's density is an impressively low 687 kg m-3. saturn has a radius of approximately 58200 km. don't forget to convert km to m.

Roche limit is 1.485 × m

Explanation:

given data

density comets d1 = 600 kg m^-3

density  Saturn d2 = 687 kg m^-3

radius r = 58200 km  = 5.82 × m

to find out

Roche limit

solution

we will find Roche limit  by given formula of Roche limit  that is

Roche limit  = 2.44 ∛(d2/d1)  × r     .............1

put here all value in equation 1 we get Roche limit

Roche limit = 2.44 ∛(d2/d1)  × r

Roche limit = 2.44 ∛(687/600)  × 5.82 ×

solve it and we get

so Roche limit is 1.485 × m