High School Physics + more

# Calculate the acceleration due to gravity near the surface of the moon | solving numerical with this value

Last updated on April 16th, 2021 at 09:21 am

To calculate the acceleration due to gravity near the surface of the moon we will use the formula g = GMmoon / Rmoon2

Here G = universal gravitational constant = 6.67 × 10−11 N · m2/kg2
Mmoon = 7.35 × 1022 kg
and
Rmoon = 1.738 × 106 m

gmoon = GMmoon / Rmoon2 = (6.67 × 10−11 )(7.35 × 1022)/(1.738 × 106 )2 m/s2
=> gmoon= 1.62 m/s2

## What is the value of acceleration due to gravity near the surface of the moon?

The value of acceleration due to gravity near the surface of the moon = gmoon= 1.62 m/s2

## Solve a numerical problem – Using g value near the moon surface

What would be the weight of a 10 kg mass on the surface of the moon? What be the value if the same mass is brought to the earth?

Solution: A 10-kg mass would weigh only 16.2 N on the moon since Fg = mgmoon = (10 kg)(1.62 m/s^2) = 16.2 N

And It would weigh (10 kg)(9.8 m/s^2) = 98 N on earth