How to find the acceleration due to gravity on a certain planet if mass of an object and its weight on that planet are known.
Suppose:
Calculate:
![]() |
Starting formula: The weight of an object equals its mass times the gravitational acceleration. |
![]() |
Divide each side by m. |
![]() |
The m's cancel. |
![]() |
After the m's cancel, we have solved for ag, the gravitational acceleration. |
![]() |
Switch right and left sides. |
![]() |
Plug in values and units. |
![]() |
Note that the N (Newton) unit can be expressed as kg-m/s2 (kilogram-meter per second squared). |
![]() |
The kg units cancel. |
![]() |
After the kg units cancel we are left with the acceleration unit. |
![]() |
The acceleration is calculated to significant digits. |