Question

Scientists want to place a 3400 kg satellite in orbit around Mars. They plan to have the satellite orbit a distance equal to 1.5 times the radius of Mars above the surface of the planet. Here is some information that will help solve this problem:

m_mars = 6.4191 x 10²³ kg
r_mars = 3.397 x 10⁶ m
G = 6.67428 x 10^-11 N-m²/kg²

1)What is the force of attraction between Mars and the satellite?

2)What speed should the satellite have to be in a perfectly circular orbit?

3)How much time does it take the satellite to complete one revolution?

4)What should the radius of the orbit be (measured from the center of Mars), if we want the satellite to take 8 times longer to complete one full revolution of its orbit?

Scientists want to place a 3400 kg satellite in orbit around Mars. They plan to have the satellite orbit at a speed of 2533 m/s in a perfectly circular orbit. Here is some information that may help solve this problem:

1)What radius should the satellite move at in its orbit? (Measured frrom the center of Mars.)

2)What is the force of attraction between Mars and the satellite?

3)What is the acceleration of the satellite in orbit?

4)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?

Answer 1