Question

2. Bone scaling

If bone length exhibits a scaling exponent of 0.4 with respect to body mass, by what factor should the length of a femur increase if an animal doubles its body weight during growth? Answer: The femur length increases by a factor of 1.32 when body weight doubles.

3. Flea jumping

A flea is capable of jumping 200 body-lengths into the air. If a 1.8 m human could jump the same proportional distance, how high could they jump? Answer: A human could jump 360 m in the air, if their jumps were proportional to height in the same way as seen in a flea.

Please show work and formulas used to get the provided answers. If you can only answer one of these questions, then that's fine too. Thank you!

Answer 1