Question

(a) What is the acceleration of gravity on the surface of the Moon? The mass of the moon is 7.35 x 1022 kg and its radius is 1.74 x 106 m. (b) What is the acceleration of gravity on the surface (or outer limit) of Mercury? The mass of Mercury is 3.30 x 1023 kg and its radius is 2.44 x 106 m

Answer 1

Part a)

a = 1.62 m/s/s

Part b)

a = 3.70 m/s/s

Step-by-step explanation:

Part A)

Acceleration due to gravity on the surface of moon is given as

`a = (GM)/(R^2)`

here we know that

`M = 7.35 * 10^(22) kg`

`R = 1.74 * 10^6 m`

now we have

`a_g = ((6.67 * 10^(-11))(7.35 * 10^(22)))/((1.74 * 10^6)^2)`

`a_g = 1.62 m/s^2`

Part B)

Acceleration due to gravity on surface of Mercury is given as

`a = (GM)/(R^2)`

here we know that

`M = 3.30 * 10^(23) kg`

`R = 2.44 * 10^6 m`

now we have

`a_g = ((6.67 * 10^(-11))(3.30 * 10^(23)))/((2.44 * 10^6)^2)`

`a_g = 3.70 m/s^2`