×
Get Full Access to University Physics - 13 Edition - Chapter 7 - Problem 7e
Get Full Access to University Physics - 13 Edition - Chapter 7 - Problem 7e

×

# BIO Human Energy vs. Insect Energy. For its size, the

ISBN: 9780321675460 31

## Solution for problem 7E Chapter 7

University Physics | 13th Edition

• Textbook Solutions
• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants

University Physics | 13th Edition

4 5 1 321 Reviews
26
3
Problem 7E

BIO Human Energy vs. Insect Energy. For its size, the common flea is one of the most accomplished jumpers in the animal world. A 2.0-mm-long, 0.50-mg flea can reach a height of 20 cm in a single leap. (a) Ignoring air drag, what is the take-off speed of such a flea? (b) Calculate the kinetic energy of this flea at takeoff and its kinetic energy per kilogram of mass. (c) If a 65-kg, 2.0-m-tall human could jump to the same height compared with his length as the flea jumps compared with its length, how high could the human jump, and what takeoff speed would the man need? (d) Most humans can jump no more than 60 cm from a crouched start. What is the kinetic energy per kilogram of mass at takeoff for such a 65-kg person? (e) Where does the flea store the energy that allows it to make sudden leaps?

Step-by-Step Solution:

Solution 7E Step 1: a) suppose, the initial velocity of the flea as “u”. The final velocity of the flea will be zero at a height of 20 cm. There will be an influence of acceleration due to gravity on the flea and it will have a negative sign since it is flying up. Therefore, we can use the Newton’s equations of motion, v = u + 2aS here. 2 2 S - distance of travel. Here, S = 20 cm = 0.2 m That is, v = u - 2gS The final velocity of the flea, v = 0 m/s 2 2 Therefore, 0 m/s = u - 2 × 9.8 m/s × 0.2 m 0 m/s = u - 3.92 m /s 2 2 2 2 2 Rearranging the equation, we get, u = 3.92 m /s Taking square roots on both sides we get, u = 1.98 m/s The take-off velocity of the flea will be, u = 1.98 m/s

Step 2 of 5

Step 3 of 5

##### ISBN: 9780321675460

University Physics was written by and is associated to the ISBN: 9780321675460. The full step-by-step solution to problem: 7E from chapter: 7 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. The answer to “BIO Human Energy vs. Insect Energy. For its size, the common flea is one of the most accomplished jumpers in the animal world. A 2.0-mm-long, 0.50-mg flea can reach a height of 20 cm in a single leap. (a) Ignoring air drag, what is the take-off speed of such a flea? (b) Calculate the kinetic energy of this flea at takeoff and its kinetic energy per kilogram of mass. (c) If a 65-kg, 2.0-m-tall human could jump to the same height compared with his length as the flea jumps compared with its length, how high could the human jump, and what takeoff speed would the man need? (d) Most humans can jump no more than 60 cm from a crouched start. What is the kinetic energy per kilogram of mass at takeoff for such a 65-kg person? (e) Where does the flea store the energy that allows it to make sudden leaps?” is broken down into a number of easy to follow steps, and 152 words. This full solution covers the following key subjects: flea, Energy, kinetic, its, takeoff. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. This textbook survival guide was created for the textbook: University Physics, edition: 13. Since the solution to 7E from 7 chapter was answered, more than 649 students have viewed the full step-by-step answer.

#### Related chapters

Unlock Textbook Solution