Answer:
~3.77 m/s²
Explanation:
We can use the equation for finding the acceleration due to gravity on a planet:
- [tex]\displaystyle g=G\frac{M}{r^2}[/tex]
- G = 6.67 * 10^(-11) N m²/k²
- M = mass of the planet (kg)
- r = radius of the planet (m)
We are given the mass of the planet, 6.42 * 10^23 kg, and the radius of the planet, 3370 km.
Let's first convert the radius of the planet to m:
Now, we can plug all of these variables into the equation and solve for g, the acceleration due to gravity on this planet; which, in this case, is Mars.
- [tex]\displaystyle g=6.67\cdot10^-^1^1 \frac{6.42\cdot10^2^3}{(3370000)^2}[/tex]
- [tex]\displaystyle g=\frac{4.28214\cdot 10^1^3}{(3370000)^2}[/tex]
- [tex]g=3.77051836[/tex]
The acceleration due to gravity on Mars is about 3.77 m/s².
