M (sun) = 2.00 * 10 ^30 Kg R (sun) = 6.96 * 10 ^ 8 m M1 = 2 * (2.0 x 10 ^ 30 kg)

Question

M (sun) = 2.00 * 10 ^30 Kg

R (sun) = 6.96 * 10 ^ 8 m

M1 = 2 * (2.0 x 10 ^ 30 kg)

M2 = 10 * (2.0 x 10 ^ 30 kg)

Distance 1 to 2 = 1.0 x 10 ^9 m

M (earth) = 5.97 x 10 ^ 24 kg

R (earth) = 6.38 x 10 ^ 6 m

M (moon) = 7.35 x 10 ^22 kg

R (moon) = 1.74 x 10 ^ 6 m

Earth %u2013 Sun distance = 1.50 x 10 ^ 11 m

Earth %u2013 Moon distance = 3.84 x 10 ^8 m

G = 6.67 x 10 -11 Nm ^ 2/kg ^ 2

1) Cygnus X-1 was the first star to be chosen as having a possible black home companion. Star 1 is rather normal star twice the mass of our Sun. 2 is a black home, it is calculated to have a mass of 10 times the mass of our Sun. Calculate the magnitude of the force of gravity of one of these objects on the other and compare to the force of gravity between the Earth and the Sun.

2) You go out for a space walk and get lost. You will adrift in the solar system with no planet nearby and you are at the same distance from the sun as the Earth is (see table). What is the magnitude of acceleration due to the Sun%u2019s gravity you experience ? (You can use this answer to compare the relative strength of gravity due to the Earth and due to the Sun from where you are right now)

3) You have a mass of 100kg. Define you gravitational potential energy to be 0 at the Sun%u2019s surface. With the acceleration due to gravity found in the previous part, what is your approximate PE at the location described at previous part? (describe any necessary approximations you use)

Explanation / Answer

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