Question1

A line of charge starts at x = +x0 and extends to positive infinity. The linear charge density is λ = λ0x0/x, where λ0 is a constant. Conclude the electric field at the origin.

Question2

Two crewmen pull a boat through a lock. One crewman pulls with a force of F1 = 145 N at an angle of θ = 37° relative to the forward direction of the raft. The second crewman, on the opposite side of the lock, pulls at an angle of 45°. With what force F2 should the second crewman pull so that net force of the two crewmen is in the forward direction?

Question3

A ship sets out to sail to a point 102 km due north. An unexpected storm blows ship to a point 139 km due east of its starting point.

(a) How far (in km) and

(b) In what direction (as an angle from due east, where north of east is a positive angle) have to it now sail to reach its original destination?