In an experiment, one of the forces exerted on a proton is F=ax^2 i , where a= 1

Question

In an experiment, one of the forces exerted on a proton is F=ax^2 i , where a= 12 N/m^2 .


A- How much work does F do when the proton moves along the straight-line path from the point (0.10 m, 0) to the point (0.10 m, 0.40 m)?
Express your answer using two significant figures.

B- How much work does do when the proton moves along the straight-line path from the point (0.10 m, 0.40 m) to the point (0.30 m, 0)?

C- How much work does do when the proton moves along the straight-line path from the point (0.30 m, 0) to the point (0.10 m, 0)?
Express your answer using two significant figures.

Explanation / Answer

The problem statement, all variables and given/known data In an experiment, one of the forces exerted on a proton is F= where a =12N/m2. Calculate the work done by this force as the proton moves along a straight-line path from the point ri= to the point rf= 2. Relevant equations I'm not sure if I would use W=F*change in x (don't know how to type in the delta symbol) since it says it's a straight line path, or if I would use W=F*change in r since the problem contains r's in it 3. The attempt at a solution I'm not too sure what to do here. I see that I'm given a Fx and Fybut I don't know exactly what to do with the multiple r's. Thanks for any help! Where the force is not constant as is the case here, you must use the general defintion of the work done be a force. That is W = int_gamma old{F}left(old{r} ight)old{cdot}dold{g amma} Where old{gamma} is the path.

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