If the mass of Mars is 0.107 times that of Earth,and its radius is 0.530 that of Earth,estimate the gravitational acceleration g at the surface of Mars.(g_earth = 9.80 m/s²) A)2.20 m/s² B)3.73 m/s² C)4.20 m/s² D)5.50 m/s²

Question

Quizplus · Accepted Answer

The gravitational acceleration is given by the equation g = G(Mars)/r^2, where G is the gravitational constant, Mars is the mass of Mars, and r is the radius of Mars. We can use the fact that Mars has 0.107 times the mass and 0.530 times the radius of Earth to estimate g:

g = G(Mars)/r^2 = G(0.107*ME)/(0.530*RE)^2

Plugging in the values for G, ME, and RE, we get:

g = (6.6743 x 10^-11 N(m/kg)^2)(0.107 x 5.97 x 10^24 kg)/(0.530 x 6.378 x 10^6 m)^2

g = 3.73 m/s^2

Therefore, the best choice is B.

If the Mass of Mars Is 0