On Planet X a mass
of 7.2 kg is lifted 1.4 m and gains 260 J of gravitational potential
energy. What is the gravitational acceleration on Planet X?
mass: m = 7.2 kg
height: h = 1.4 m
gravitational potential energy: Ug = 260 J
Starting formula |
|
Algebra: divide each side by h |
|
Algebra: h's cancel on right |
|
Algebra: divide each side by m |
|
Algebra: m's cancel on right |
|
Algebra: swap right and left |
|
Plug in values with units |
|
Math: (260)/((7.2)(1.4)) = 25.793.... |
|
Final result with significant figures and unit |