A flea is able to jump about 0.5 m. It has been said that if a flea were as big as a human, it would be able to jump over a 100-story building! When an animal jumps, it converts work done in contracting muscles into gravitational potential energy (with some steps in between). The maximum force exerted by a muscle is proportional to its cross-sectional area, and the work done by the muscle is this force times the length of contraction. If we magnified a flea by a factor of 1 000, the cross section of its muscle would increase by 1 000 2 and the length of contraction would increase by 1 000. How high would this “superflea” be able to jump? (Don’t forget that the mass of the “superflea" increases as well.)
A flea is able to jump about 0.5 m. It has been said that if a flea were as big as a human, it would be able to jump over a 100-story building! When an animal jumps, it converts work done in contracting muscles into gravitational potential energy (with some steps in between). The maximum force exerted by a muscle is proportional to its cross-sectional area, and the work done by the muscle is this force times the length of contraction. If we magnified a flea by a factor of 1 000, the cross section of its muscle would increase by 1 000 2 and the length of contraction would increase by 1 000. How high would this “superflea” be able to jump? (Don’t forget that the mass of the “superflea" increases as well.)
Solution Summary: The author explains the Work-Energy theorem for the jump of the original flea.
A flea is able to jump about 0.5 m. It has been said that if a flea were as big as a human, it would be able to jump over a 100-story building! When an animal jumps, it converts work done in contracting muscles into gravitational potential energy (with some steps in between). The maximum force exerted by a muscle is proportional to its cross-sectional area, and the work done by the muscle is this force times the length of contraction. If we magnified a flea by a factor of 1 000, the cross section of its muscle would increase by 1 0002 and the length of contraction would increase by 1 000. How high would this “superflea” be able to jump? (Don’t forget that the mass of the “superflea" increases as well.)
Slinky dog whose middle section is a giant spring with a spring constant of 10.9 N/m. Woody, who has a mass of 0.412 kg, grabs onto the tail end of Slink and steps off the bed with no initial velocity and reaches the floor right as his velocity hits zero again. How high is the bed? What is Woody’s velocity halfway down? Enter just the magnitude of velocity.
No chatgpt pls will upvote
A positive charge of 91 is located 5.11 m to the left of a negative charge 92. The
charges have different magnitudes. On the line through the charges, the net
electric field is zero at a spot 2.90 m to the right of the negative charge. On this
line there are also two spots where the potential is zero. (a) How far to the left of
the negative charge is one spot? (b) How far to the right of the negative charge is
the other?
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