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 comb4.00 cm away from a clump of small paper dots, inducing anonuniform distribution of charge in the clump so that one of thedots becomes charged and breaks away, accelerating toward the comb.If the paper dot has a mass of 2.95×104 kg and a charge of magnitude3.50 C, how fast is it going when it strikes thecomb?

Explanation / Answer

elelctric field E = 900 N / C distance S= 4 cm =0.04 m mass of paper m = 2.95 * 10 ^ -4 kg charge of paper q = 3.5 * 10 ^ -6 C Acclerationn of paper a = Eq / m                                      = 10.67 m / s^ 2 Initila velocity u = 0 required speed v = ? we know from kinematics equation v ^ 2- u^ 2= 2aS                 v^ 2= 2aS                  v = [ 2aS]                    = 0.9242 m / s

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