A child stands on a playground merry-go-round a distance of 1.50 ...

[Metfan725]

A child stands on a playground merry-go-round a distance of 1.50 m from the rotation axis. The coefficient of static friction between the child's shoes and the surface of the merry-go-round is 0.700.
 
  Assuming the acceleration of gravity is 9.81 m/s2, what is the maximum constant angular speed of the merry-go-round for which the child will not start to slide? A)
 
  6.45 rad/s
  B)
 
  1.32 rad/s
  C)
 
  2.14 rad/s
  D)
 
  4.58 rad/s
  E)
 
  8.32 rad/s

Question 2

The filament in a light bulb has a diameter of 0.050 mm and an emissivity e = 1.0. The temperature of the filament is 3000C. How long should the filament be in order to radiate 60 W of power?
 
  The Stefan-Boltzmann constant is 5.67  10-8 W/(m2K4).
  A)
 
  11 cm
 
  B)
 
  9.4 cm
 
  C)
 
  8.6 cm
 
  D)
 
  7.2 cm
 
  E)
 
  5.9 cm

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Answer to Question 1

C

Answer to Question 2

E

[Metfan725]

Thanks for the timely response, appreciate it

[kusterl]

Great answer, keep it coming