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

Answer:

Part a)

a = 1.62 m/s/s

Part b)

a = 3.70 m/s/s

Explanation:

Part A)

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

$a = \frac{GM}{R^2}$

here we know that

$M = 7.35 \times 10^{22} kg$

$R = 1.74 \times 10^6 m$

now we have

$a_g = \frac{(6.67 \times 10^{-11})(7.35 \times 10^{22})}{(1.74 \times 10^6)^2}$

$a_g = 1.62 m/s^2$

Part B)

Acceleration due to gravity on surface of Mercury is given as

$a = \frac{GM}{R^2}$

here we know that

$M = 3.30 \times 10^{23} kg$

$R = 2.44 \times 10^6 m$

now we have

$a_g = \frac{(6.67 \times 10^{-11})(3.30 \times 10^{23})}{(2.44 \times 10^6)^2}$

$a_g = 3.70 m/s^2$