Question

On the moon's acceleration due to gravity is 1.67m/s² if the radius of is 1.7×10⁶m. Calculate the mass of the moon

Answer 1

Answer:

7.2314 x 10^22 kg

Explanation:

M=(g x r^2)/G

g= 1.67m/s^2

G=6.67408 x 10^-11 m^3/kg/sec^2

putting values

M= ((1.67 ) X (1.67 X 10^6)^2)/6.67408 X 10^-11

 = 7.2314 X 10^22 KG

Answer 2

Given :

Acceleration due to gravity in moon (g) = 1.67 m/s²

Radius (r) = 1.7 × $10^{6}$ m

To Find :

Mass of the moon

Solution :

We know, g = $\frac{GM}{r^{2} }$

or,            M = $\frac{gr^{2} }{G}$

or,            M = $\frac{1.67 * (1.7*10^{6}) ^{2} }{6.67 * 10^{-11} }$

or,            M = $\frac{1.67*1.7*1.7*10^{12} }{6.67 * 10^{-11} }$

or,            M = 0.724 × $10^{23}$

∴              M = 7.24 × $10^{22}$ Kg

Therefore, mass of the moon is 7.24 × $10^{22}$ Kg.