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 0.82 m by the horizontal 24 N force from the broom and then has a speed of 1.40 m/s, what is the coefficient of kinetic friction between the book and floor

Explanation:

given

mass = 3.5 kg

distance d = 0.82 m

horizontal  force = 24 N

coefficient of kinetic friction between the book and floor = ?

now by using Newton ' s second law

for vertical motion

W- N = 0 ( where w is weight  and N is normal reaction)

W = N = mg .....(i)  ( m is mass of book and g is acceleration due to gravity )

for  horizontal motion

so   ..........(iii)

from (i)

for acceleration a using kinematics equations

now substitute the values in equation (iii) we get