Question

find the gravity on moon with explanation and do the full calculation not a single of step should be missing

Answer 1

Hey there !

The gravitational acceleration of the moon is only six times smaller than the earth because this equation accounts for how far you are from the center of the object. The moon isn't as large as the earth in diameter, so the r is smaller. Most importantly, that r is squared, which means when it changes, it affects the final value of acceleration more than changing the mass.

Because the gravity equation takes into account how large an object is as well as how much mass it has, the acceleration on the moon is smaller than the earth, but not as small is you might expect from an object far less massive.
The acceleration due to gravity on the moon can be calculated using:

g = GM/(r^2)

Where g is the acceleration due to gravity in m/s2, G is the gravitational constant 6.67 * 10^-11 Nm2 / kg2

6.7*10^-11*7.4*10^22÷{1.8*10^c}^2..

M is the mass of the moon in kg (7.35 * 10^22)

r is the radius of the moon in metres (1737400m)

g = (6.67 * 10^-11) * (7.35 * 10^22) / (1737400)^2

g = 1.624 m/s2

Hope it helps you !