A person , sunbathing on a warm day, is lying horizontally on the deck of a boat. Her mass is 59 kg, and the coefficient of static friction between the deck and her is 0.70. Assume that the person is moving horizontally, and that the static frictional force is the only force acting on her in this direction . (a) What is the magnitude of the static frictional force when the boat moves with a constant velocity of +8.0 m/s? (b) The boat speeds up with an acceleration of 1.6 m/s2 and she does not slip with respect to the deck . What is the magnitude of the static frictional force that acts on her? (c) What is the magnitude of the maximum acceleration the boat can have before she begins to slip relative to the deck ?

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter5: Newton's Laws Of Motion
Section: Chapter Questions
Problem 63PQ: A 75.0-g arrow, fired at a speed of 110 m/s to the left, impacts a tree, which it penetrates to a...
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A person , sunbathing on a warm day, is lying horizontally on
the deck of a boat. Her mass is 59 kg, and the coefficient of static
friction between the deck and her is 0.70. Assume that the person is
moving horizontally, and that the static frictional force is the only
force acting on her in this direction .

(a) What is the magnitude of the static frictional force when the boat moves with a constant velocity of +8.0 m/s?

(b) The boat speeds up with an acceleration of 1.6 m/s2 and she does not slip with respect to the deck . What is the magnitude of the static frictional force that acts on her?

(c) What is the magnitude of the maximum acceleration the boat can have before she begins to slip relative to the deck ?

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