Scientists at the U.S. National Institute of Standards and Technology measured a force of 174 yN exerted by a weak electric field on a vibrating “crystal” of 60 9Be1 ions cooled to 0.5 mK in an electromagnetic trap. (M. J. Biercuk et al., arXiv.org:1004.0780v3 [quant-ph] 24 Apr 2010.) (a) Express the force in newtons in scientific notation. (b) Express the temperature in kelvins in scientific notation. (c) The gravitational force on a mass m at Earth’s surface is F 5 GMm/r2, where G is the gravitational constant (insideback cover), M is the mass of the Earth (5.98 3 1024 kg), and r is the radius of the Earth (6.38 3 106 m). Find the mass of 60 Be1 ions in kg. Find the gravitational force on 60 Be1 ions in N and yN.

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Scientists at the U.S. National Institute of Standards and Technology measured a force of 174 yN exerted by a weak electric field on a vibrating “crystal” of 60 9Be1 ions cooled to 0.5 mK in an electromagnetic trap. (M. J. Biercuk et al., arXiv.org:1004.0780v3 [quant-ph] 24 Apr 2010.) (a) Express the force in newtons in scientific notation. (b) Express the temperature in kelvins in scientific notation. (c) The gravitational force on a mass m at Earth’s surface is F 5 GMm/r2, where G is the gravitational constant (inside
back cover), M is the mass of the Earth (5.98 3 1024 kg), and r is the radius of the Earth (6.38 3 106 m). Find the mass of 60 Be1 ions in kg. Find the gravitational force on 60 Be1 ions in N and yN.

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