Exact energy triangles show how rest energy, pc, total energy, and kinetic energy move together.
Exact energy triangles show how rest energy, pc, total energy, and kinetic energy move together. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.
highlighted = computed this step
Mass four at speed three totals one hundred twenty five joules
The first triangle uses mass 4 kg and speed 3 m/s. Rest energy is 100 J, motion leg pc is 75 J, and total energy is 125 J.
1002+752=1252K=125−100=25
Mass three at speed four reaches the same total another way
The second row lowers mass to 3 kg and raises speed to 4 m/s. Rest energy becomes 75 J, pc becomes 100 J, and the same total 125 J closes the triangle.
752+1002=1252K=125−75=50
Doubling the fast mass doubles every energy leg
Keeping speed 4 m/s and doubling mass to 6 kg doubles the second row: rest energy 150 J, pc 200 J, total 250 J, and kinetic energy 100 J.