Final answer:
To find the kinetic energy of a satellite in circular orbit around Earth, you can use the formula: Kinetic energy = 1/2 x mass x velocity². First, calculate the velocity of the satellite using the formula: Velocity = 2π x radius / period. Then, plug in the values to find the answer.
Step-by-step explanation:
The kinetic energy of a satellite in circular orbit around Earth can be calculated using the formula:
Kinetic energy = 1/2 x mass x velocity²
First, we need to calculate the velocity of the satellite using the formula:
Velocity = 2π x radius / period
Given that the radius of the orbit is 8.0 x 10⁵m and the mass of the satellite is 200 kg, we can calculate the velocity and then use it to calculate the kinetic energy.
Let's assume the period of the satellite is 24 hours, which is the time it takes to complete one orbit around Earth. The formula for velocity becomes:
Velocity = 2π x (8.0 x 10⁵m) / (24 x 60 x 60 seconds)
Calculate the velocity and then plug it into the kinetic energy formula to find the answer.