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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
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2021-08-27T21:08:50+00:00
2021-08-27T21:08:50+00:00 2 Answers
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Answers ( )
Answer:
μk = 0.58
Explanation:
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