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$\bullet$ $\bullet$ Human energy vs. insect energy. For its size, the com-mon flea is one of the most accomplished jumpers in the animalworld. A $2.0-\mathrm{mm}$ -long, 0.50 $\mathrm{mg}$ critter can reach a height of20 $\mathrm{cm}$ in a single leap. (a) Neglecting air drag, what is the take-off speed of such a flea? (b) Calculate the kinetic energy of thisflea at takeoff and its kinetic energy per kilogram of mass. (c) Ifa 65 kg, 2.0 -m-tall human could jump to the same height com-pared with his length as the flea jumps compared with itslength, how high could he jump, and what takeoff speed wouldhe need? (d) In fact, most humans can jump no more than 60 $\mathrm{cm}$from a crouched start. What is the kinetic energy per kilogramof mass at takeoff for such a 65 kg person? (e) Where does theflea store the energy that allows it to make such a sudden leap?

(a) $v_{f 1}=1.98 \mathrm{m} / \mathrm{s}$(b) $K_{f 1}=9.8 \times 10^{-7} \mathrm{J} \quad-\quad \frac{K_{f 1}}{m_{f}}=1.96 \mathrm{J} / \mathrm{kg}$(c) $h_{h}=200 \mathrm{m} \quad-\quad v_{h 1}=62.6 \mathrm{m} / \mathrm{s}$(d) $\frac{K_{h 1}}{m_{h}}=5.88 \mathrm{J} / \mathrm{kg}$(e) The flea stores the energy in its tensed legs.

Physics 101 Mechanics

Chapter 7

Work and Energ

Physics Basics

Applying Newton's Laws

Kinetic Energy

Potential Energy

Energy Conservation

University of Michigan - Ann Arbor

University of Sheffield

University of Winnipeg

Lectures

03:47

In physics, the kinetic en…

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In physics, a conservative…

07:55

BIO Human Energy vs. Insec…

07:59

For its size, the common f…

02:23

An insect called the frogh…

08:13

Flying Leap of the Flea. H…

05:13

A flea is able to jump abo…

03:26

A Flea's Jump The res…

05:10

The froghopper ($Philaenus…

0:00

High-speed motion pictures…

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08:48

03:33

The motion of a human body…

10:13

04:54

A small 10.0-g bug stands …

01:10

BIO How High Can We Jump? …

02:34

(a) If a flea can jump str…

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Two identical gliders on a…

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A 60.0 -kg athlete leaps s…

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A projectile of mass 2 kg …

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$\bullet$ The total height…

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problem number 47. In this problem, it is given that an insect can jump for a height, it equals 20 centimeters. The len off the insect is eloquence. Two millimeters and moss off the inspectors 0.5 into 10 to the power minus six. Cagey. No. We have to find that Take off his speed off the insect by energy conservation the initial can etiquette energy off the insect off M V squared is equal to final gravitational potential energy or 10 by the insect. Because don't go. G X, that's takeoff. Speed is equal. Do toe in tow 9.8 in tow. Zero point don't readers. This is a call to 1.97 Meet uh for a second. For the second part of the question, we have to find the kinetic energy off the insect. The can it take energy? Is he cool too? Final gravitational potential energy. She is equal to 0.5. Do tend to the power minus six in tow. Nine point it in tow height which is 0.2 meters. This will give us nine seven Siegel into 10 to the power my nest nine fallen 9.7, Indu turned to the power minus seven. Jules, no kind of taken Artie Arcady off. Moss off. The insect is equal to 9.7 into 10 to the power minus seven upon mass off the insect ridges here open Fight into 10 to the power minus six kg. This will give us one point 94 Jules, but ready now for I don't see ah 65 kg person who is two meters doll also jumps. Now we have to find that jumping is speed off the human when the height attained by the human is in proportion to his land. So lent off the human physical 2000 times the length of the insect So I attend by the human is also house in in the it which is heightened by the insect. This will give us 20 zero meters so in proportion to the insect the human will attain 200 meters off, right? No calculating the the coffee spirit of the human be Yet he quotes to into 9.8 into height off the human. This formula is again by using energy conservation. That's we get no Indo 9.8 into 200 This will give us 62 0.6 meter per second for the last part of the question we know myself. Person is 65 kg. The maximum height attained by the person in practical situation is EJ Max is equal to 0.6 meters. Now we have to find the can take energy required to obtained this height by the men. The Canada Tick energy is equal to the maximum gravitational potential energy in the practical situation, which is mg. It's Max. Is it cool too? 65 into nine. Point it. Indo zero point six. This will calm Is 3 82 going toe, Jules. No kind of big energy. Par K G Moss off. Human is teary. It'd toe point toe by 65. This will give us fight point. Yeah, it, Jules, But Katie

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In physics, the kinetic energy of an object is the energy which it possesses…

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