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There is an unknown charge  Q  at the origin.  From a location 0.40 m from the origin along the...

There is an unknown charge  Q  at the origin.  From a location 0.40 m from the origin along the y axis, I launch a charged particle in the x direction with a speed of 15 m/s, and it goes in a circle.  The particle’s charge is 1.0×10-6 C and its mass is 0.20 kg.

(a) [15 pts.] What is the charge Q?

(b) [4 pts.] If I launched the particle at 20 m/s, instead of 15 m/s, would it come back or would it escape and get infinitely far away?  Would the path it follows be a circle?

(c) [8 pts.] What is the minimum speed I could launch the particle with in order for it to escape to infinity?

(d) [3 pts.] If I launch the particle with the speed from part (c), is there a particular direction I have to launch it at in order for it to escape, or would any direction do?  If there is a particular direction, what is it?

Solutions

Expert Solution

Here we apply coulomb's law of electrostatics and concept of circular motion and escape velocity.

genius_generous answered 2 years ago
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