Question

Estimate the acceleration due to gravity at the surface of Europa (one of the moons of Jupiter) given that its mass is 4.9×1022kg and making the assumption that its mass per unit volume is the same as Earth's. Express your answer to two significant figures and include the appropriate units.

Answer 1

2.543 m/s^2

Step-by-step explanation:

mass, M = 4.9 x 10^22 kg

density, d = 5.51 x 1000 kg/m^3

Let R be the radius of Europa

mass = volume x density

4.9 x 10^22 = 4 / 3 x 3.14 x r^3 x 5.51 x 1000

R = 1.285 x 10^6 m

The formula for the acceleration due to gravity

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

Where, G be the universal gravitational constant

`g=(6.67* 10^(-11)* 4.9* 10^(22))/(1.285* 1.285* 10^(12))`

g = 2.543 m/s^2

Thus, the acceleration due to gravity on the surface of Europa is 2.543 m/s^2.