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M2 Work Done Questions?! watch

1. 15) A rought surface is inclined at arctan (3/5) to the horizontal. A partivle of mass 5kg is pulled at a constant speed a distance of 15 m up the surface by a force acting along a line of greatest slope. The coefficient of friction between the particle and the surface is (1/3). Find the total Work Done, assuming only resistances to motion are dure to gravity and friction?

Answer = 637J

16) A rough surface inclined at arctn (5/12) to the horizonal. A particle of mass 10kg is ulled up at a constant speed a distance of 5m up the surface by a force acting along the linf of gratest slpe. The only resistances to motion are those due to gravity and friction. Given that the work done by the force is 200J find the coefficient of friction between the particle and the surface?

Answer = 0.0255
2. (Original post by ianripping)
15) A rought surface is inclined at arctan (3/5) to the horizontal. A partivle of mass 5kg is pulled at a constant speed a distance of 15 m up the surface by a force acting along a line of greatest slope. The coefficient of friction between the particle and the surface is (1/3). Find the total Work Done, assuming only resistances to motion are dure to gravity and friction?

Answer = 637J
Are you sure it's not arctan (3/4) (cos then that would mean the hypotenuse is 5)?
3. (Original post by Nylex)
Are you sure it's not arctan (3/4) (cos then that would mean the hypotenuse is 5)?
No its definetly 3/5
4. In the first one, the height above the origin is [email protected] (=15*(3/sqrt(34)). This means you can find PE. And I think you can apply lots of equations to obtain KE, from which you can apply the Work-Energy principle.

These questions are really weird...
5. (Original post by ianripping)
No its definetly 3/5
I only get 588 J using that, hang on.
6. (Original post by shift3)
In the first one, the height above the origin is [email protected] (=15*(3/sqrt(34)). This means you can find PE. And I think you can apply lots of equations to obtain KE, from which you can apply the Work-Energy principle.

These questions are really weird...
Yeah, that's what I did. Usually they make it so you get easy triangles (eg. 3, 4, 5 or 5, 12, 13).

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