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

AI Thread Summary
The discussion focuses on calculating the work done by a man climbing and descending a hill at a 30-degree angle with a mass of 50 kg and uniform acceleration of 2 m/s². Participants suggest using the formula for work done, which is Work = Force * Displacement, and emphasize the importance of considering the angle of the hill in the calculations. The conversation also touches on the work-energy theorem as an alternative approach to determine the work done. Participants inquire about additional information, such as the height of the hill and the distance moved, which are crucial for accurate calculations. Overall, the thread explores various methods to solve the problem of work done in climbing and descending a hill.
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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