problem07_63

University Physics with Modern Physics with Mastering Physics (11th Edition)

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7.63: The skier is subject to both gravity and a normal force; it is the normal force that causes her to go in a circle, and when she leaves the hill, the normal force vanishes. The vanishing of the normal force is the condition that determines when she will leave the hill. As the normal force approaches zero, the necessary (inward) radial force is the radial component of gravity, or , cos 2 α mg R mv = where R is the radius of the snowball. The
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Unformatted text preview: speed is found from conservation of energy; at an angle , she has descended a vertical distance ) cos 1 (-R , so ) cos 1 ( 2 2 1-= mgR mv , or ) cos 1 ( 2 2-= gR v . Using this in the previous relation gives cos ) cos 1 ( 2 =-, or ° = = 2 . 48 3 2 arccos . This result does not depend on the skier’s mass, the radius of the snowball, or g ....
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