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Post Closed as "Duplicate" by BioPhysicist, Jon Custer, John Rennie, Roger V., Nikita
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Qmechanic
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Q.The The gravitational field due to a mass distribution is given by E=k/(x^3)$E=k/(x^3)$ in X$x$-direction. Taking the gravitational potential to be zero at infinity, find its value at a distance x$x$.

for the answer let the 'integral where the lower limit is infinity and upper limit x' be denoted as I

The answer my textbook gives to the above question is : enter image description here

shouldn't the dot product of E and dx (because we are traveling from infinity to a point) give - sign so the final answer should be negative.

Q.The gravitational field due to a mass distribution is given by E=k/(x^3) in X-direction. Taking the gravitational potential to be zero at infinity, find its value at a distance x.

for the answer let the 'integral where the lower limit is infinity and upper limit x' be denoted as I

The answer my textbook gives to the above question is : enter image description here

shouldn't the dot product of E and dx (because we are traveling from infinity to a point) give - sign so the final answer should be negative.

Q. The gravitational field due to a mass distribution is given by $E=k/(x^3)$ in $x$-direction. Taking the gravitational potential to be zero at infinity, find its value at a distance $x$.

for the answer let the 'integral where the lower limit is infinity and upper limit x' be denoted as I

The answer my textbook gives to the above question is : enter image description here

shouldn't the dot product of E and dx (because we are traveling from infinity to a point) give - sign so the final answer should be negative.

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There is something I don't understand in the answer of the following question

Q.The gravitational field due to a mass distribution is given by E=k/(x^3) in X-direction. Taking the gravitational potential to be zero at infinity, find its value at a distance x.

for the answer let the 'integral where the lower limit is infinity and upper limit x' be denoted as I

The answer my textbook gives to the above question is : enter image description here

shouldn't the dot product of E and dx (because we are traveling from infinity to a point) give - sign so the final answer should be negative.