# Work done in climbing the hill

#### darwined

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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#### Simon Bridge

Homework Helper
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?

#### darwined

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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#### Simon Bridge

Homework Helper
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.

#### Simon Bridge

Homework Helper
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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