A Satellite in a 100-Mile-High Circular Orbit Around Earth Has $\sqrt { 2 }$

question 356

Multiple Choice

A satellite in a 100-mile-high circular orbit around Earth has a velocity of approximately 17,500 miles per hour.If this velocity is multiplied by $\sqrt { 2 }$ , the satellite will have the minimum velocity necessary to escape Earth's gravity and will follow a parabolic path with the center of Earth as the focus.(Hints: The radius of Earth is 4000 miles.) Find the distance between the surface of the Earth and the satellite when $\theta = 50 ^ { \circ }$ .

• A)Distance between surface of Earth and satellite:4496 miles
• B)Distance between surface of Earth and satellite:4322 miles
• C)Distance between surface of Earth and satellite:1286 miles
• D)Distance between surface of Earth and satellite:643 miles
• E)Distance between surface of Earth and satellite:1492 miles

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