A charged particle of mass m = 57.2 g and charge q = +2.14 uC is attached to a massless string of length l = 25.5 cm and spun in circular motion with w = 7.85 rad/s. Note that the circular motion is about the rotational axis of the dotted line and would t

Please help on questions 1, 2, and 3 on thesecond picture!

A charged particle of mass m = 57.2 g and charge q = +2.14 uC is attached to a massless string of length l = 25.5 cm and spun in circular motion with w = 7.85 rad/s. Note that the circular motion is about the rotational axis of the dotted line and would trace out a conelike shape in three dimensions. At the moment shown the charged particle is passing through an electric field of strength E that is angled above the horizontal direction at an angle of o = 18.3°. (a) If the angle the massless string makes with the vertical is 0 = 38.4° then what is the electric field strength E? (b) What is the tension in the massless string? (c) What would be the angle 0 if the centripetal force of the particle's circular motion was ignored? What is the percent error between this value of 0 and 0 = 38.4°? (d) What would be the angle 8 if the particle's mass is ignored completely? What is the percent error between this value of 0 and 0 = 38.4°? m, a 1. (7 points) Answer part (b) of the problem. Show work. 2. (3 points) What angle would the electric field need to point relative to the horizontal direction as shown in order for the force from the field to have no effect on the angle of the deflection of the string? 3. (2 extra points) What would happen to the translational velocity of the particle after it rotated through 14 of a revolution following the moment shown. Assume that the angular velocity w remains constant and the electric field only points in the plane of the page as shown.

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