For the following hypothetical changes in astronomical bodies answer whether the change would make the specified property L - Larger, S - Smaller, or N - Not changed. (If the first is L and the rest S, enter LSSSS). A) If the mass of the Sun were doubled and the Earth kept the same distance, the period of the Earth's orbit would be .....   B) If the mass of an object dropped on the surface of the Moon were increased, the acceleration of the object would be .....   C) If the distance between two planets is decreased, the force of gravity between them is .....   D) If the mass of Mars were greater (but its radius were the same), the acceleration due to gravity on its surface would be .....   E) If the radius of the Earth were larger (but the mass were the same), the force of gravity on objects on its surface would be .....

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      For the following hypothetical changes in astronomical bodies answer whether the change would make the specified property L - Larger, S - Smaller, or N - Not changed. (If the first is L and the rest S, enter LSSSS).
      A) If the mass of the Sun were doubled and the Earth kept the same distance, the period of the Earth's orbit would be .....

 

      B) If the mass of an object dropped on the surface of the Moon were increased, the acceleration of the object would be .....

 

      C) If the distance between two planets is decreased, the force of gravity between them is .....

 

      D) If the mass of Mars were greater (but its radius were the same), the acceleration due to gravity on its surface would be .....

 

    E) If the radius of the Earth were larger (but the mass were the same), the force of gravity on objects on its surface would be .....

 

Expert Solution
Step 1

Answer:

 

A) If the mass of the Sun were doubled and the Earth kept the same distance, the period of the Earth's orbit would be 

 

As per the above-given statement,

 

We know that,

 

The relation between the mass of the sun and a period is:

T=2πr3GM

 

But given that,

 

The mass of the sun was doubled, So it is given as:

 

M=2M0

 

As per the above relation, The period will decrease.

 

Thus, The period of the earth would be smaller(S)

 

 

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