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  • Oct 29, 2010, 09:51 AM
    rainbow_hale
    Motion
    One side of the roof of a building slopes up at 33.5°. A roofer kicks a round, flat rock that has been thrown onto the roof by a neighborhood child. The rock slides straight up the incline with an initial speed of 15.0 m/s. The coefficient of kinetic friction between the rock and the roof is 0.430. The rock slides 10.0 m up the roof to its peak. It crosses the ridge and goes into free fall, following a parabolic trajectory above the far side of the roof, with negligible air resistance. Determine the maximum height the rock reaches above the point where it was kicked.
  • Oct 29, 2010, 10:16 AM
    ebaines

    Use conservation of energy to determine the velocity of the rock when it reaches the peak:



    where F is the force of friction and d is the length of roof that the rock slides over. This gives you v2, and you can use



    to determine the height h above the peak of the roof that the rock reaches.
  • Oct 30, 2010, 03:42 AM
    rainbow_hale
    Thank you sooo much!

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