ama the ver- tal plane 5. 007 (part 1 of 2) 10.0 points A 31.6 kg lce skater is

Question

ama the ver- tal plane 5. 007 (part 1 of 2) 10.0 points A 31.6 kg lce skater is moving at 5.02 m/s when she grabs the loose end of a rope, the op- posite end of which is tled to a pole. She then moves in a cirele of radius 0.622 m around the pole Find the force exerted by the rope on her arms. The acceleration of gravity is 9.8 m/s Answer in units of kN. 008 (part 2 of 2) 1 0.0 points Ind the ratio of thisten ion taher weight. diagram ana #009: 10.0 points Th At a certain instant of time an an automo bile is rounding a curve. Iis acceleration in What is the angle that the total accelera tien makes at that inslant with respect to the dire tion nof tntlon al thal instan 01O10.0 points

Explanation / Answer

007: tension in force,

FT = m a_c = m v^2 / r

= (31.6) (5.02^2) / 0.622

= 1280.3 N  

008: ratio = FT / W

= (1280.3)/(31.6 x 9.8)

= 4.13

009: direction of motion is along 3.38 m/s^2.

theta = tan^-1 (4.6982 / 3.38)

=54 deg

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