An astronaut performs a simple experiment in the \"weightless\"environment of a

Question

An astronaut performs a simple experiment in the "weightless"environment of a space station, intended for television broadcastto elementary school classrooms around the world. By combing herhair, she is able to charge a flat comb so that, in the vicinity ofthe comb, there is an approximately uniform electric field ofstrength E=900 N/C. She places the comb 4.00 cm away from a clumpof small paper dots, inducing a nonuniform distribution of chargein the clump so that one of the dots becomes charged and breaksaway, accelerating toward the comb. If the paper dot has a mass of2.95x10-4 kg and a charge of magnitude 3.50C, howfast is it going when it strikes the comb?

Explanation / Answer

We know that            E = Bv Where B = m v / q r So that we have           E = [m v / qr ] * v ==>   v = [E q r / m ]    = [ 900 *3.5 x 10-6 * 0.04 / 2.95 x10-4 ]             = 0.6535 m/s

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