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 ?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter5: More Applications Of Newton’s Laws
Section: Chapter Questions
Problem 61P
icon
Related questions
Topic Video
Question

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 ?

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Second law of motion
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning