The work done due to friction is [tex]\boxed{59.58{\text{ N}}}[/tex].
Further explanation:
Here, we have to calculate the total work done due to frictional force.
Frictional force is a non-conservative force and the work done by a non-conservative force is path dependent.
Given:
The mass of the physics book is [tex]1.9{\text{ kg}}[/tex].
Coefficient of friction between the book and floor is [tex]0.2[/tex].
The distance between observer that is (you) and Beth is [tex]8{\text{ m}}[/tex]
The distance between Beth and Carlos is [tex]8{\text{ m}}[/tex].
Formula and concept used:
The work done by the conservative force is equal to the product of force and the displacement.
Now, we will know about displacement,
Displacement: The shortest distance between the initial and final position of the object is known as displacement.
But, in case of the non-conservative forces, the work done is equal to the product of the force and the total distance travel by the object.
So, friction force can be calculated as,
[tex]{F_r} = \mu mg[/tex]
Here, [tex]m[/tex] is the mass of the book, [tex]\mu[/tex] is the coefficient of friction.
So, work done due to friction when observer slides the book to the Beth and Beth slides the book to Carlos.
[tex]\boxed{W = {F_r} \cdot d}[/tex]
Here, [tex]{F_r}[/tex] is the friction force, [tex]d[/tex] is the total distance travel against friction force.
[tex]\boxed{\begin{aligned}d&=8+8\\&=16\text{ m}\end{aligned}}[/tex]
Substitute the value of [tex]{F_r}[/tex] in above equation.
[tex]W = \mu mgd[/tex] …… (1)
Calculation:
Substitute [tex]0.2[/tex] for [tex]\mu[/tex], [tex]1.9{\text{ kg}}[/tex] for [tex]m[/tex] and [tex]16{\text{ m}}[/tex] for [tex]d[/tex] in equation (1).
[tex]\begin{aligned}W&=\left( {0.2} \right)\left( {1.9} \right)\left( {9.8} \right)\left({16}\right)\\&=59.58{\text{ N}}\\\end{gathered}[/tex]
The work done due to friction is [tex]\boxed{59.58{\text{ N}}}[/tex].
Learn more:
1. Acceleration against friction: https://brainly.com/question/7031524
2. Water is a compound because: https://brainly.com/question/4636675
3. Conservation of momentum during collision https://brainly.com/question/9484203
Answer detail:
Grade: Senior School
Subject: Physics
Chapter: Work and Energy
Keywords:
Book slide, Beth, Carlos, work done, friction, four corners, square, 8m length, 59.58 N, connecting these people, displacement.
