Determine the value for the acceleration due to gravity at the surface of the planet Mars, given the following data: Mass of Mars = 6 .42 x 10^23 kg Radius of Mars = 3.37 x 10^6 m
Thanks!
g(mars) = G M/R^2
G is the universal gravity constant
= 6.67*10^-11 N m^2/kg^2
Do the calculation
To determine the value for the acceleration due to gravity at the surface of the planet Mars, you 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 6.67430 × 10^-11 N m^2 kg^-2), M is the mass of Mars, and r is the radius of Mars.
First, convert the mass of Mars into kilograms:
Mass of Mars = 6.42 x 10^23 kg
Next, convert the radius of Mars into meters:
Radius of Mars = 3.37 x 10^6 m
Now plug the values into the formula:
g = (6.67430 × 10^-11 * 6.42 x 10^23) / (3.37 x 10^6)^2
Simplify the equation:
g = (6.67430 × 10^-11 * 6.42 x 10^23) / (3.37 x 10^12)
Multiply the numbers:
g = (4.283747 × 10^13) / (3.37 x 10^12)
Divide the numbers:
g ≈ 12.71 m/s^2
Therefore, the value for the acceleration due to gravity at the surface of Mars is approximately 12.71 m/s^2.