(I) A novice skier, starting from rest, slides down an icy frictionless 8.0° incline whose vertical height is 105 m. How fast is she going when she reaches the bottom?

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Answer:v = 45.37 m/sExplanation:Given,

angle of inclination = 8.0°

Vertical height, H = 105 m

Initial K.E. = 0 J

Initial P.E. = m g H

Final PE = 0 J

Final KE =

Using Conservation of energy

v = 45.37 m/sHence, speed of the skier at the bottom is equal to

v = 45.37 m/s