Calculating Average Kinetic Energy of a Running Boy

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Homework Help Overview

The problem involves calculating the average kinetic energy of a boy running up a slope, with a focus on understanding the concept of average kinetic energy and the necessary parameters for its calculation, such as speed and mass.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the meaning of 'average' kinetic energy and question how to calculate it without knowing the boy's speed. Some suggest using gravitational potential energy as an alternative approach, while others emphasize the need for average velocity.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the problem. Some have provided insights into the relationship between kinetic energy and speed, while others express uncertainty about the information needed for a proper calculation.

Contextual Notes

There is a mention of a diagram that is not provided in the thread, which may contain relevant information for solving the problem. Participants also note the assumption of constant speed and question the appropriateness of the problem setup.

lingling
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Homework Statement



A boy of 60 kgtakes 5 s to run up the slope in the diagram. (Please refer to the attachment) What is his average kinetic energy?

Homework Equations





The Attempt at a Solution



I don't know the meaning of 'average' kinetic energy. Is this mean kinetic energy per unit time (per second)? How can I calculate it without knowing the velocity of the boy?
 

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His average kinetic energy is the energy corresponding to his average speed
 
How can I know the kinetic energy of the boy without knowing the speed?
My stupid thought was that to use the increase in gravitational potential energy of the boy but I can't get the answer. Why?
 
KE=1/2mv^2

average kintetic energy would come from his average velocity. notice how the distance he went is expressed as a right triangle

WARNING: ANSWER BELOW
try not to look at the answer if you can solve it yourself. i made it white so you must high light it and not see it 'on accident'





[pythagorean theorum tells us the distance he ran was 5 meters and we're given he ran it in 5 seconds, so average velocity is 1 m/s. 1^2 is still 1, and m is 60 so divide it by two and you get 30 N]
 
lingling said:
How can I know the kinetic energy of the boy without knowing the speed?
Assume that he runs up at a constant speed. (Since KE is proportional to speed squared, I think this is an ill-posed problem.)
 

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