Final speed of the spheres center of mass problem
A sphere of radius r begins from rest and rolls without slipping all along a curved surface, dropping via a vertical distance of 0.666 m. Determine the final speed v of the sphere's center of mass?
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What power output of the rider is needed to maintain a constant speed of 3.2 m/s (around 7.2 mph) up a 5.0% grade (a road which increases 5.0 m for every 100 m all along the pavement)? Suppose that frictional losses of energy are negligible.
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The rain gutter is made from sheets of aluminum which are 18 in wide by turning up edges to form right angles. Find depth of gutter which will maximize its cross-sectional area and permit greatest amount of water flow.
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When the slits encompass a separation d =.0450 mm, determine the minimum distance from the slits to the screen if 580 nm light is used?
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