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1) At low speed, air resistance is a force proportional to thevelocity v of an o

ID: 1675639 • Letter: 1

Question

1) At low speed, air resistance is a force proportional to thevelocity v of an object: F = -kv. Is this force conservative? 2) What is the escape velocity (in m/s) from the Sun (M =2.0E30 kg) of an object that is a distance 9.1E7 km from the centerof the Sun? 1) At low speed, air resistance is a force proportional to thevelocity v of an object: F = -kv. Is this force conservative? 2) What is the escape velocity (in m/s) from the Sun (M =2.0E30 kg) of an object that is a distance 9.1E7 km from the centerof the Sun?

Explanation / Answer

The radius of the Sun R = 695500 kilometers

                                        = 6.955*10^8 m

Mass of sun M = 2 * 10 ^ 30 kg

Escape velocity v = [ 2GM / R ]

Where G = Gravitational constant = 6.67 * 10 ^ -11 N m^ 2/kg^ 2

Plug the values we get v = 619.36 * 10 ^ 3 m /s

                                          = 619.36 km / s