Question

On your first attempt you leave the surface of the earth at v = 5534 m/s. how far from the center of the earth will you get?

Answer 1

To find the distance from the center of the Earth, you can use the formula r = rEarth + h, where r is the distance from the center of the Earth, rEarth is the radius of the Earth, and h is the height above the Earth's surface. By substituting the known values, the distance will be approximately 6922 km.

Step-by-step explanation:

To find the distance from the center of the Earth, we need to use the formula for the radius of an orbiting object:

r = rEarth + h

Where:

• r is the distance from the center of the Earth
• rEarth is the radius of the Earth
• h is the height above the Earth's surface

Given that you leave the surface of the Earth at a velocity of 5534 m/s, we can assume that you are in orbit around the Earth. In this case, the height above the Earth's surface is equal to the radius of the orbit. Using the formula:

r = rEarth + h

We can substitute the known values:

r = 6370 km + 5534 m/s

r = 6922 km

So, you will get approximately 6922 km from the center of the Earth.