Twice the muscle mass gives twice the energy output. So, we conclude that the energy provided by the muscle and the total mass of the animal both increase proportionately to the cube of the length - exactly the same rule of increase. If we double the radius, both energy provided by the muscles and total body mass will increase by 8 times. The grasshopper, a mouse, man, and an elephant should then all be able to jump to the same height. Of course, this isn't exactly what we find.
Some animals have different proportions of muscle.
The muscles may be attached differently to the skeletal structure, giving different efficiencies for different types of motion. And, the biochemistry of the muscle proteins and enzymes involved in metabolism to produce ATP may be different. But, if you think about it carefully, you may come to the conclusion that a grasshopper and an elephant may jump to about the same height. Walking and running. Walking is a really complex process.