Die Another Day

You are shrunk to the height of a small pebble and thrown into a blender. Your mass is reduced so that your density is the same as usual. The blades start moving in 60 seconds and you'll die if you stay at the bottom. What would you do?

One valid but counterintuitive answer is to jump out of the blender.

Suppose a person of height 1.80 m and mass 60 kg can jump to the height of 60 cm. If this person is shrunk to one thousandth of his original size, how high is he now able to jump in centimeters?

Assumptions

• The amount of power a human can generate is proportional to the muscle mass \(m\).