Final answer:
To calculate the speed of the satellite at an altitude of 11,000 km above Earth's surface, use the formula for centripetal acceleration, v=sqrt(a*r). Given a centripetal acceleration of 9.8 m/s^2 and a distance from the Earth's center of 6,370 km + 11,000 km, the the speed of the satellite:
v = sqrt(9.8 * r)
Step-by-step explanation:
To calculate the speed of the satellite, we can use the formula for centripetal acceleration:
a = v^2 / r
Where:
- a is the centripetal acceleration
- v is the speed of the satellite
- r is the distance between the satellite and the center of the Earth.
Given that the altitude of the satellite is 11,000 km, we can calculate the distance from the center of the Earth:
r = Earth's radius + altitude
Now we can substitute the values into the formula:
a = v^2 / r
Rearrange the formula to solve for v:
v = sqrt(a * r)
Using the value of the centripetal acceleration as 9.8 m/s^2 and the radius of the Earth as 6,370 km, we can calculate the speed of the satellite:
v = sqrt(9.8 * r)