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C The acceleration due to gravity at the surface of planet Mercury is 3.72 ms2. If the radius of Mercury is 2.44 x 106 m, calculate the mass of Mercury.​

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To calculate the mass of Mercury, you can use the formula:

M=a⋅r2/G

where:

M is the mass of Mercury

a is the acceleration due to gravity on Mercury’s surface

r is the radius of Mercury

G is the universal gravitational constant

You have given the values of a and r, so you only need to know the value of G. According to NASA Space Place, the value of G is:

G=6.67×10−11 Nm2/kg2

Plugging in the values, you get:

M=(3.72 ms−2)⋅(2.44×106 m)2/(6.67×10−11 Nm2/kg2)

M=3.29×1023 kg

Therefore, the mass of Mercury is approximately 3.29×1023 kilograms.

User Martin S Ek
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