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

Question

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

Quizplus · Accepted Answer

The Answer of 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

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

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