webassign.net PHYS 211 HW 11 Fall 17 Two Equal Charges Are Situated On The X Axi

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webassign.net PHYS 211 HW 11 Fall 17 Two Equal Charges Are Situated On The X Axis At 40... I Chegg.com 1. 0/2 points| Previous Answers 1/20 Submissions Used My Notes Ask Your Teacher Two equal masses are situated on the x axis at 40.0 m on either side of the origin as shown in the figure below. Location A is on the perpendicular bisector at a distance of 37.0 m from the origin on the y axis. X A (a) If m1-4.25 kg and m2 -4.25 kg, what is the net gravitational field due to both masses at location A? Express your answer in vector form gnet. (0-4.14e-13)) Did you consider the symmetry of the situation? What is the net contribution to the field from the x components of the field from each mass? m/s2 (b) If m1 = 2m2, what is the net gravitational field at location A due to both masses? Express your answer in vector form. (Assume m2-4.25 kg.) 9net1.77e - 13i -2.07e-13j)* If the two masses are unequal, what is the net contribution to the field from each mass in the two perpendicular directions? m/s2 Additional Materials eBook

Explanation / Answer

a] Because of symmetry in x axis, the field will only be in y axis.

g = -2Gm/r^2 cos theta

= -2*6.67e-11*4.25/(40^2+37^2) * 37/sqrt(37^2+40^2)

= -1.297*10^-13 j m/s^2

b] Now for this case let there is an additional mass of m2 at location of m1.

g = -1.297*10^-13 j - 6.67e-11*4.25/(40^2+37^2) * 37/sqrt(37^2+40^2) j - 6.67e-11*4.25/(40^2+37^2)*40/sqrt(37^2+40^2) i

= -1.945*10^-13 j -7.009*10^-14 i m/s

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