Venus has radius 6.05 x 10^6 m and mass 4.87 x 10^24 kg. Calculate the value of acceleration due to gravity on Venus's surface.
I don't understand
To calculate the value of acceleration due to gravity on Venus's surface, we can use the formula:
\( g = \frac{{G \cdot M}}{{r^2}} \)
where:
- \( g \) is the acceleration due to gravity,
- \( G \) is the gravitational constant (\( 6.67430 \times 10^{-11} \, \text{m}^3 \cdot \text{kg}^{-1} \cdot \text{s}^{-2} \)),
- \( M \) is the mass of Venus (\( 4.87 \times 10^{24} \, \text{kg} \)), and
- \( r \) is the radius of Venus (\( 6.05 \times 10^6 \, \text{m} \)).
Now let's substitute the given values into the formula:
\( g = \frac{{(6.67430 \times 10^{-11} \, \text{m}^3 \cdot \text{kg}^{-1} \cdot \text{s}^{-2}) \cdot (4.87 \times 10^{24} \, \text{kg})}}{{(6.05 \times 10^6 \, \text{m})^2}} \)
\( g = \frac{{3.3822828 \times 10^{14} \, \text{m}^3 \cdot \text{kg}^{-1} \cdot \text{s}^{-2}}}{{3.66025 \times 10^{13} \, \text{m}^2}} \)
Using division, we find that the value of \( g \) is approximately \( 9.07 \, \text{m/s}^2 \) (rounded to two decimal places).
Therefore, the acceleration due to gravity on Venus's surface is approximately \( 9.07 \, \text{m/s}^2 \).
To calculate the value of the acceleration due to gravity (g) on Venus's surface, you can use the formula:
g = G * M / R^2
Where:
- G is the gravitational constant, approximately 6.67 x 10^(-11) N(m/kg)^2.
- M is the mass of Venus.
- R is the radius of Venus.
Plugging in the given values:
G = 6.67 x 10^(-11) N(m/kg)^2
M = 4.87 x 10^24 kg
R = 6.05 x 10^6 m
g = (6.67 x 10^(-11) N(m/kg)^2 * 4.87 x 10^24 kg) / (6.05 x 10^6 m)^2
Now you can calculate it.