(a) What is the acceleration of gravity on the surface of the moon?
m/s2
(b) What is the acceleration of gravity on the surface (or outer limit) of Uranus? The mass of Uranus is 8.68 ✕ 1025 kg and its radius is 2.33 ✕ 107 m.
Isn't this something you can look up?
1.62 For the a
(a) The acceleration of gravity on the surface of the moon can be determined using the formula for gravitational acceleration:
acceleration due to gravity (g) = gravitational constant (G) x mass of the moon (M) / radius of the moon (R)^2
The mass of the moon is approximately 7.34 x 10^22 kg, and its radius is approximately 1,737 km or 1.737 x 10^6 m. The gravitational constant, G, is approximately 6.67430 x 10^(-11) m^3 kg^(-1) s^(-2).
Plugging in these values, we can calculate the acceleration of gravity on the surface of the moon:
g = (6.67430 x 10^(-11) m^3 kg^(-1) s^(-2) x 7.34 x 10^22 kg) / (1.737 x 10^6 m)^2
After performing the calculation, we find that the acceleration of gravity on the surface of the moon is approximately 1.63 m/s^2.
(b) To calculate the acceleration of gravity on the surface or outer limit of Uranus, we can use a similar formula as before:
g = G x M / R^2
Given the mass of Uranus as 8.68 x 10^25 kg and the radius as 2.33 x 10^7 m, and using the same gravitational constant G as before, we can plug these values into the formula:
g = (6.67430 x 10^(-11) m^3 kg^(-1) s^(-2) x 8.68 x 10^25 kg) / (2.33 x 10^7 m)^2
After performing the calculation, we find that the acceleration of gravity on the surface or outer limit of Uranus is approximately 8.69 m/s^2.
To find the acceleration of gravity on the surface of the moon, you can use Newton's law of universal gravitation:
Gravity = (G * M) / (R^2)
Where:
- G is the gravitational constant, which is approximately 6.67430 × 10^-11 N m^2/kg^2.
- M is the mass of the celestial body (in this case, the moon).
- R is the radius of the celestial body (in this case, the moon's radius).
(a) The mass of the moon is approximately 7.348 × 10^22 kg, and its radius is approximately 1.737 × 10^6 m.
Plugging the values into the formula:
Gravity = (6.67430 × 10^-11 N m^2/kg^2 * 7.348 × 10^22 kg) / (1.737 × 10^6 m)^2
Solving this equation will give you the acceleration of gravity on the surface of the moon in m/s^2.
(b) To find the acceleration of gravity on the surface or outer limit of Uranus, you can use a similar approach, considering the mass and radius of Uranus.
The mass of Uranus is given as 8.68 ✕ 10^25 kg, and its radius is given as 2.33 ✕ 10^7 m.
Plugging the values into the formula:
Gravity = (6.67430 × 10^-11 N m^2/kg^2 * 8.68 ✕ 10^25 kg) / (2.33 ✕ 10^7 m)^2
Solving this equation will give you the acceleration of gravity on the surface or outer limit of Uranus in m/s^2.