What Is the Work Done in Climbing and Descending a Hill?

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Homework Help Overview

The discussion revolves around calculating the work done by a man climbing and descending a hill at a 30-degree angle, considering his mass and uniform acceleration. The problem involves concepts from mechanics, specifically work and energy principles.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants are discussing the application of the work formula, considering the relationship between force and displacement. Questions about the total applied force and the distance moved are raised. There is also mention of the work-energy theorem as a potential approach.

Discussion Status

The discussion is active, with participants exploring different methods to approach the problem. Some guidance has been offered regarding the use of force and displacement, but no consensus has been reached on a specific method or solution.

Contextual Notes

Participants note the lack of certain information, such as the time spent climbing or the height of the hill, which may be relevant to solving the problem.

darwined
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Suppose a man is climbing up a hill at angle 30 degree from the ground. The mass of the man is 50Kg and he climbs up the hill at uniform acceleration of 2m/s2.

What is the work done in climbing up the hill and if he climbs down the hill at the same 30 degree angle with uniform acceleration of 2m/s2, what is the work done in climbing down the hill.

Thank you.
 
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That's an interesting question - how have you been attempting it so far?
How are you thinking about it?

Were you supplied with any other information - like the time spent climbing or the height of the hill?
 
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I have been thinking it in terms of Work done=Force * Displacement.

I guess we should use scalar product of vectors.Distance is along the ground and force is along the line which is 30degrees from the ground.
 

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Sure, you can get the net force from F=ma.
What's the total applied force doing the work though?

Do you know how to find the distance moved?

OTOH: you can use the work-energy theorem.
 
Sure, you can get the net force from F=ma.
What's the total applied force doing the work though?

Do you know how to find the distance moved?

OTOH: you can use the work-energy theorem.
 

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