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## In a pickup game of dorm shuffleboard, students crazed by final exams use a broom to propel a calculus book along the dorm hallway. If the 3

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In a pickup game of dorm shuffleboard, students crazed by final exams use a broom to propel a calculus book along the dorm hallway. If the 3.5 kg book is pushed from rest through a distance of 0.90 m by the horizontal 25 N force from the broom and then has a speed of 1.60 m/s, what is the coefficient of kinetic friction between the book and floor?

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Physics
5 months
2021-08-27T21:08:50+00:00
2021-08-27T21:08:50+00:00 2 Answers
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## Answers ( )

Answer:μk = 0.58Explanation:The coefficient of kinetic friction between the book and the floor is 0.58.Answer:μ = 0.145

Explanation:For this this problem let’s start by using the kinematic relations to find the acceleration of the body

v² = v₀² + 2 a x

As part of rest v₀ = 0

a = v² / 2x

a = 1.60²/2 0.90

a = 1.42 m / s²

Now we can use Newton’s second law

fr = m a

N- W = 0

The equation for friction force is

fr = μ N

fr = μ m g

We replace

μ m g = m a

μ = a / g

μ = 1.42 /9.80

μ = 0.145