Venus has a mass of 4.86 1024 kg and a radius of 6.05 106 m.
(a) What is the acceleration due to gravity on Venus?
a = GM/r^2
To calculate the acceleration due to gravity on Venus, we can use the formula:
g = G * M / r^2
where:
g is the acceleration due to gravity,
G is the gravitational constant (6.67 * 10^-11 m^3/kg/s^2),
M is the mass of Venus, and
r is the radius of Venus.
Plugging in the given values:
M = 4.86 * 10^24 kg
r = 6.05 * 10^6 m
First, we need to convert the given mass and radius into scientific notation:
M = 4.86e24 kg
r = 6.05e6 m
Now, we can substitute the values into the formula and calculate the acceleration due to gravity on Venus:
g = (6.67 * 10^-11 m^3/kg/s^2) * (4.86 * 10^24 kg) / (6.05 * 10^6 m)^2
Simplifying further:
g = (6.67 * 10^-11) * (4.86 * 10^24) / (6.05 * 10^6)^2
g = (6.67 * 4.86 * 10^-11 * 10^24) / (6.05)^2
g ≈ 8.87 m/s^2
Therefore, the acceleration due to gravity on Venus is approximately 8.87 m/s^2.
To find the acceleration due to gravity on Venus, we can use the formula for gravitational acceleration:
g = G * (M / R^2)
Where:
g is the acceleration due to gravity
G is the gravitational constant (approximately 6.67 × 10^-11 N m^2 / kg^2)
M is the mass of Venus
R is the radius of Venus
Let's substitute the given values:
M = 4.86 × 10^24 kg
R = 6.05 × 10^6 m
g = (6.67 × 10^-11 N m^2 / kg^2) * (4.86 × 10^24 kg) / (6.05 × 10^6 m)^2
g = (6.67 × 10^-11 N m^2 / kg^2) * (4.86 × 10^24 kg) / (6.05 × 10^12 m^2)
Now, let's simplify and calculate the value of g.