Calculate the acceleration due to gravity on the moon which has a radius 1.740000 and its mass is 7.35x10^22kg
G M/R^2 = 6.67*10^-11 * 7.35*10^22 / (1.74*10^6)^2 (luckily I know the moon radius)
16.2 * 10^(22 -11 - 12) = 16.2 * 10^-1 = 1.62 m/s^2
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check
should be about 1/6 of earth g
9.81 / 6 = 1.63 Whew !
To calculate the acceleration due to gravity on the moon, we can use the formula:
acceleration due to gravity = G * (mass of the moon) / (radius of the moon)^2
where G is the gravitational constant, approximately equal to 6.67430 x 10^-11 m^3/kg/s^2.
Given:
Mass of the moon (m) = 7.35 x 10^22 kg
Radius of the moon (r) = 1.74 x 10^6 m
Plugging these values into the formula:
acceleration due to gravity = (6.67430 x 10^-11 m^3/kg/s^2) * (7.35 x 10^22 kg) / (1.74 x 10^6 m)^2
Calculating this expression will give us the acceleration due to gravity on the moon.
To calculate the acceleration due to gravity on the moon, you can use the formula:
a = (G * M) / r^2
where:
a = acceleration due to gravity
G = gravitational constant (approximately 6.67430 x 10^-11 m^3/kg/s^2)
M = mass of the moon
r = radius of the moon
Plugging in the values:
M = 7.35 x 10^22 kg
r = 1.74 x 10^6 meters
a = (6.67430 x 10^-11 m^3/kg/s^2 * 7.35 x 10^22 kg) / (1.74 x 10^6 meters)^2
Now, let's simplify the equation:
a = (6.67430 x 10^-11 * 7.35 x 10^22) / (1.74 x 10^6)^2
First, multiply the numbers in the numerator:
a = 4.903 x 10^12 / (1.74 x 10^6)^2
Next, square the denominator:
a = 4.903 x 10^12 / 3.0276 x 10^12
Now divide the numerator by the denominator:
a = 1.6175
Therefore, the acceleration due to gravity on the moon is approximately 1.6175 m/s^2.