A mystery planet in another part of the galaxy has an acceleration due to gravity of 5.00 m/s^2. If the radius of this planet is 2.00 x 10^6 m, what is the mass of the mystery planet?
6 years ago
3 years ago
gottem
1 year ago
To find the mass of the mystery planet, we can use the formula for the acceleration due to gravity:
g = G * (M/r^2)
where g is the acceleration due to gravity, G is the gravitational constant (approximately 6.67 x 10^-11 N(m/kg)^2), M is the mass of the planet, and r is the radius of the planet.
Rearranging the formula, we have:
M = (g * r^2) / G
Substituting the given values:
g = 5.00 m/s^2
r = 2.00 x 10^6 m
G = 6.67 x 10^-11 N(m/kg)^2
Calculating the mass of the mystery planet:
M = (5.00 m/s^2 * (2.00 x 10^6 m)^2) / (6.67 x 10^-11 N(m/kg)^2)
M = (5.00 * 4.00 x 10^12) / (6.67 x 10^-11)
M ≈ 1.499 x 10^23 kg
Therefore, the mass of the mystery planet is approximately 1.499 x 10^23 kg.
11 months ago
To find the mass of the mystery planet, 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 x 10^-11 m^3/(kg*s^2)),
M is the mass of the planet, and
r is the radius of the planet.
In this case, we know the acceleration due to gravity on the mystery planet (5.00 m/s^2) and the radius of the planet (2.00 x 10^6 m). We need to solve for the mass (M).
Rearranging the formula, we have:
M = (g * r^2) / G
Now, let's plug in the values:
M = (5.00 m/s^2 * (2.00 x 10^6 m)^2) / (6.67 x 10^-11 m^3/(kg*s^2))
Calculating this expression will give us the mass of the mystery planet.