Question

satellite a is orbiting earth at an altitude of 500 km and satellite b is orbiting 800 km above the surface. how does the velocity of satellite a compare to the velocity of satellite b? (1 point)
the velocity of satellite a is less than the velocity of satellite b.
the velocity of satellite a is greater than the velocity of satellite b.
it depends on the masses of the satellites.
the velocity of satellite b is equal to the velocity of satellite a.

Explanation:

Step1: Recall the formula for orbital velocity

The orbital velocity \(v\) of a satellite is given by \(v = \sqrt{\frac{GM}{r}}\), where \(G\) is the gravitational constant, \(M\) is the mass of the Earth, and \(r\) is the distance from the center of the Earth to the satellite.

Step2: Compare the values of \(r\) for the two satellites

For Satellite A, \(r_A=R_E + 500\times10^3\) m (where \(R_E\) is the radius of the Earth). For Satellite B, \(r_B=R_E + 800\times10^3\) m. So \(r_A

Step3: Analyze the relationship between \(v\) and \(r\)

Since \(v = \sqrt{\frac{GM}{r}}\), and \(GM\) is constant. When \(r\) increases, \(v\) decreases. Because \(r_A\sqrt{\frac{GM}{r_B}} = v_B\).

Answer:

The velocity of Satellite A is greater than the velocity of Satellite B.