A new planet has been discovered which has a mass of 4.56 x 10^24 kg, and a radius of 7.09 x 10^6 m. What is the gravitational acceleration near the surface of this planet?
G=6.67384 × 10-11 m3 kg-1 s-2
M=4.56*10^24 kg
r=7.09*10^6 m
Using Newton's law of gravitation,
g=Force/1 kg mass
=GM/r² m/s²
5248 m/s^2
To find the gravitational acceleration near the surface of a planet, you can use the formula:
g = G * (m / r^2)
Where:
g is the gravitational acceleration,
G is the gravitational constant (approximately 6.67430 × 10^-11 m^3 kg^-1 s^-2),
m is the mass of the planet, and
r is the radius of the planet.
Let's substitute the given values in the formula:
m = 4.56 x 10^24 kg
r = 7.09 x 10^6 m
Plugging these into the formula:
g = (6.67430 × 10^-11 m^3 kg^-1 s^-2) * (4.56 x 10^24 kg) / (7.09 x 10^6 m)^2
Now, we can calculate the value of g.