The gravitational potential due to the mass distribution is V =A/(x^2 +a^2)^0.5 . Find the gravitational field.
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V=A/sqrt(x^2+a^2)=A(x^2+a^2)^(-1/2)IfthegravitatioNAlfieldisE.E_x=(delV)/(delx)=-A(-1/2)(x^2+a^2)^(-3/2)(2x)=Ax(x2+a2)32
Ey=-∂V∂y=0andEz=-∂V∂Z=0
the gravitatioN/Al field is Ax(x2+a2)32 in the x direction.
Explanation:
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