Please answer all parts of the question, specify direction when needed and inclu

Question

Please answer all parts of the question, specify direction when needed and include force body diagram and electric field diagram

Three ropes pull a mass across a frictionless floor as shown below. The ropes have tensions T_1 = 25N, T_2 = 35 N and T_3 = 18 N. A) What is the net force acting on the mass? Three charged objects A, B and C are arranged as shown below. Objects A and C are negatively charged while object B is positively charged. All the dashed line distances shown are the same, 5.0 cm. B) What is the Electric Field strength at the point marked with an, 'X'? C) If I put an object with charge +5.0 nC at the point marked 'X', what force would act on it? D) What is the same between part 'A' and part 'B' ? E) What is the Potential at the point marked with an, 'X'? F) If I put an object with charge +5.0 nC at the point marked 'X', what Potential Energy would it have?

Explanation / Answer

The net force due to tension T1 is

T1 = T1 cos (90+ 25) + T1 sin ( 90+ 25)

=25 cos 115 i+ 25 sin 115 j

=-10.56 i + 22.65 N j

T2 = T2 cos 55 + T2 sin 55

=35(0.573) + 35(0.819)

=20.055 i +28.6 j

T3 = 18 N j

T net = T1 + T2 + T3

=9.495 i + 69.25 N

magnitude = sqrt ( 9.495)^2 + (69.25)^2

=69.89 N

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