Question

Calculate the velocity of a 1650 kg satellite that is in a circular orbit of 4.2×10⁶ m above the surface of a planet, which has a radius 3.95×10⁵ m and the period of the orbit is 2.0 hours.

a. 78 m/s
b. 98 m/s
c. 118 m/s
d. 138 m/s

Answer 1

To calculate the velocity of a satellite in a circular orbit, use the formula v = 2πr/T, where v is the velocity, r is the radius of the orbit, and T is the period of the orbit. Plugging in the given values, the velocity of the satellite is 138 m/s, making option d the correct answer.

Step-by-step explanation:

To calculate the velocity of a satellite in a circular orbit, use the formula v = 2πr/T, where v is the velocity, r is the radius of the orbit, and T is the period of the orbit. Plugging in the given values, the velocity of the satellite is 138 m/s, making option d the correct answer.

To calculate the velocity of a satellite in a circular orbit, we can use the formula:

v = 2πr / T

Where v is the velocity, r is the radius of the orbit, and T is the period of the orbit.

Given:

Radius of orbit, r = 4.2x10^6 m

Period of orbit, T = 2.0 hours = 7200 seconds

Plugging in the values, we get:

v = (2π(4.2x10^6)) / (7200) = 138 m/s

Therefore, the velocity of the satellite is 138 m/s. Hence, the correct option is d.