1)An astronaut in training is placed in a merry-go-round-likedevice that rotates

Question

1)An astronaut in training is placed in a merry-go-round-likedevice that rotates her at high speed in a horizontal circle ofradius 5 m. At what rate does she have to rotate (revolutions persecond) so that her centripetal acceleration is 10g.
2)A box of mass 5 kgis accelerated by a force across a frictionless surface at a rateof 2 m/s2 for 10 s. The work done by the forceis
2)A box of mass 5 kgis accelerated by a force across a frictionless surface at a rateof 2 m/s2 for 10 s. The work done by the forceis

Explanation / Answer

radius r = 5 m accleration a = 10 g = 98 m /s^2 we know a = rw^2 from this angular speed w = [ a / r ]                                         =4.427 rad / s                                        = 4.427 * ( 1/ 2) rev / s                                        = 0.7046 rev / s

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