A hypothetical Planet X of mass 9.0 x 1023 kg rotates on its axis once every...

Question

Question

A hypothetical Planet X of mass 9.0 x 1023 kg rotates on its axis once every 4 days. (a) Find the distance from Planet X at w

Answer 1

Answer #1

Here,

let the distance from center of the planet X is r

Now, as Time period of the satellite , T = 4 daya

for the formula of time period

T^2/r^3 = 4pi^2/(G * M)

(4 * 24 * 3600)^2/r^3 = 4pi^2/(6.673 *10^-11 * 9 *10^23)

solving for r

r = 5.664 *10^7 m

the distance of satellite from the planet X is 5.66 *10⁷ m

-----

b)

find the speed of the satellite is v

v = sqrt(G * M/r)

v = sqrt(6.673 *10^-11 * 9 *10^23/(5.664 *10^7))

v = 1029.72 m/s

the speed of the satellite is 1029.72 m/s

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Answer 2

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