Scientists want to place a 4 x 10 kg satellite in orbit around Mars. They plan t

Question

Scientists want to place a 4 x 10 kg satellite in orbit around Mars. They plan to have the satellite orbit at a speed of 2313 m/s in a perfectly circular orbit. Here is some information that may help solve this problem mmars-6.4191 x 105 kg mars-3.397 x 10 m G-6.67428 xN-m/kg mnars-6.4191 x 10 1) What radius should the satellite move at in its orbit? (Measured frrom the center of Mars.) Submit You currently have O submissions for this question. Only 9 submission are allowed You can make 9 more submissions for this question. 2) What is the force of attraction between Mars and the satellite? N Submit You currently have O submissions for this question. Only 9 submission are llowed. You can make 9 more submissions for this question 3) What is the acceleration of the satellite in orbit? m/s Submit You currently have O submissions for this question. Only 9 submission are allowed You can make 9 more submissions for this question. 4) Which of the following quantities would change the radius the satellite needs to orbit at the mass of the satellite the mass of the planet the speed of the satellite Submit You currently have O submissions for this question. Only 9 submission are allowed You can make 9 more submissions for this question. 5) What should the speed of the orbit be, if we want the satellite to take 8 times longer to complete one full revolution of its orbit? m/s Submit

Explanation / Answer

(a)

Speed of sattelite,

v = sqrt (GM / R)

so, Radius of sattelite,

R = GM / v^2

R = 6.67*10^(-11)*6.4191*10^23 / (2313)^2

R = 8.28*10^6 m

(b)

Force of attraction,

F = GMm / R^2

where R = Rmars + Rs = 11.67*10^6 m

F = (6.67*10^(-11) * 6.4191*10^23 * 4*10^3) / (11.67*10^6)^2

F = 1257.52 N

(3)

Acceleration of sattelite,

a = F / m

a = 1257.52 / 4*10^3

a = 0.314 m/s^2

(4)

Mass of the planet and the speed of sattelite will change the radius of sattelite.

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