An engineering student investigates how the mass of a spherical projectile affects the maximum vertical height it reaches when fired upwards by a compressed spring launcher.
They record their results in the table below and plot them on a graph.
Spring Launcher Results
| Mass of sphere (mmm) in kg | Maximum height (hhh) in m |
|---|---|
| 0.15 | 3.05 |
| 0.25 | 1.84 |
| 0.35 | 1.31 |
| 0.45 | 1.02 |
| 0.55 | 0.84 |
The student claims that the elastic potential energy transferred to each sphere by the compressed spring is constant across all trials.
Use data from any two points in the table to support this statement. Take the acceleration due to gravity, ggg, to be 9.8 m/s2.