Question

The gravitational acceleration on the Earth's surface is ce of a plan et with the same size, but twice the mass? it be on the A. 16 fect B. 32 fect/second/second C. 64 f D. 128 foet/second second E. 8 feet 18-

Answer 1

Explanation:

The acceleration due to gravity is on Earth is given by :

$g_e=\dfrac{GM_e}{R^2}$..............(1)

Where

M is the mass of Earth

R is the radius of Earth

G is the universal gravitational constant

$g_e=32\ ft/s^2$

The formula for acceleration due to gravity on planet is given by :

$g_p=\dfrac{GM_p}{R_p^2}$..............(2)

Since, $M_p=2M_e$

From equation (1) and (2) :

$\dfrac{g_p}{g_e}=\dfrac{M_p}{M_e}$

$g_p=2\times g_e$

$g_p=2\times 32\ ft/s^2$

$g_p=64\ ft/s^2$

So, the acceleration on the planet is 64 feet per second square. Hence, this is the required solution.