Answer Solution: 4 84 .36 W Explanation Given: Distance along the stairs = 83 m Angle of inclination = 33 0 Mass of player = 82 kg Time taken = 75 s Formula Used: Work done against gravity = mg h h : vertically upward displacement Power = work time Energy supplied by man, can do work against gravity. Calculation: Work done against gravity =mg h S= distance travelled along the stairs. h = (83 m) sin 33 ° W = (82 kg)×(9 .8 m/s 2 )×(83 m)×sin 33 ° = 36326 .77 J Power = work time = 36326 .77 J 75 s = 484 .36 W Conclusion: Player energy supplied is converted into gravitational potential energy of player plus earth as a system. Average power output of player = 4 84 .36 W .

6th Edition

ISBN: 9780130606204

Author: Douglas C. Giancoli

Publisher: Prentice Hall

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Question

Chapter 6, Problem 66P

To determine

Average power output of football player.

Expert Solution & Answer

Answer to Problem 66P

Solution: $484.36 W$

Explanation of Solution

Given:

Distance along the stairs $=83 m$

Angle of inclination $=330$

Mass of player $=82 kg$

Time taken $=75 s$

Formula Used:

Work done against gravity $=mg h$

h : vertically upward displacement

Power $=worktime$

Energy supplied by man, can do work against gravity.

Calculation:

Work done against gravity =mg h

Physics: Principles with Applications, Chapter 6, Problem 66P

S= distance travelled along the stairs.

$h = (83 m) sin 33°W = (82 kg)×(9.8 m/s2)×(83 m)×sin 33°= 36326.77 J$

Power $=worktime$

$= 36326.77 J75 s= 484.36 W$

Conclusion:

Player energy supplied is converted into gravitational potential energy of player plus earth as a system. Average power output of player $=484.36 W$ .

Chapter 6, Problem 65P

Chapter 6, Problem 67P

Chapter 6 Solutions

Physics: Principles with Applications

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