Part 8 of 8 - Analyze
Tamsen and Vera imagine visiting another planet, planet X, whose gravitational acceleration, $g_x$, is different from
that of Earth's. They envision a pendulum, whose period on Earth is 2.243 s, that is set in motion on planet X,
and the period is measured to be 1.710 s. What is the ratio of $g_x/g_{Earth}$? Neglect any effects caused by air
resistance.
$\frac{g_x}{g_E} =$
If the average density of planet X is equal to Earth's average density, $\rho_E$, what is the ratio of $R_X/R_E$, where $R_E$ is
the mean radius of Earth? (Assume both planets are spherical. Recall that $\rho = m/V$ and $V_{sphere} = \frac{4}{3}\pi r^3$.)
$\frac{R_X}{R_E} = $