A spherical object with a radius r = 3.2×10−6 m and mass m is in equilibrium...

A spherical object with a radius r = 3.2×10−6 m and mass m is in equilibrium at a distance d = 6.0×1012 m from a star due to the cancellation of gravitational and radiation forces. Let Ms = 4.7×1032 kg be the mass of the star, and Ps = 9.9×1029 W be the total average power radiated by it uniformly in all directions. You will also need the gravitational constant G = 6.7×10−11 Nm2/kg2 and the speed of light c = 3×108 m/s in the following questions.

a.) What is the intensity of the star's electromagnetic radiation at the position of the object?

b.) What is the average radiation force Frad on the object if all the incoming light is absorbed by it?

c.) What is the magnitude of the gravitational acceleration ag of the object due to the star?

d.) Find the mass density (mass/volume) of the object if it is in equilibrium under radiation and gravitational forces.

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Expert Solution

genius_generous answered 1 year ago

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