Acceleration Due to Gravity Video Lessons

Concept

# Problem: The mass of Venus is 81.5% that of the earth, and its radius is 94.9% that of the earth.(a) Compute the acceleration due to gravity on the surface of Venus from these data. (Express your answer in terms of the acceleration due to gravity on the Earth.)______ gE(b) If a rock weighs 29.4 N on earth, what would it weigh at the surface of Venus?_______ N

###### FREE Expert Solution

(a)

Acceleration due to gravity:

$\overline{){\mathbf{a}}{\mathbf{=}}\frac{\mathbf{mg}}{{\mathbf{r}}^{\mathbf{2}}}}$

From the given data,

$\mathbit{a}\mathbf{=}\frac{\mathbf{\left(}\mathbf{0}\mathbf{.}\mathbf{815}\mathbf{\right)}\mathbit{g}}{\mathbf{0}\mathbf{.}{\mathbf{949}}^{\mathbf{2}}}$

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###### Problem Details

The mass of Venus is 81.5% that of the earth, and its radius is 94.9% that of the earth.

(a) Compute the acceleration due to gravity on the surface of Venus from these data. (Express your answer in terms of the acceleration due to gravity on the Earth.)
______ gE

(b) If a rock weighs 29.4 N on earth, what would it weigh at the surface of Venus?
_______ N