Physics, 12.07.2019 18:30 melissalopez12

Abook slides across a level, carpeted floor with an initial speed of 3.25 m/s and comes to rest after 3.25 m. calculate the coefficient of kinetic friction between the book and the carpet. assume the only forces acting on the book are friction, weight, and the normal force.

Answers: 2

Show answers

Answers

A book that slides across a level, carpeted floor with an initial speed of 3.25 m/s and comes to rest after 3.25 m, has a coefficient of kinetic friction of 0.166.

A book slides across a level, carpeted floor with an initial speed (u) of 3.25 m/s. It comes to rest (final speed = v = 0m/s) after 3.25 m (s).

Since this is a uniformly decelerated rectilinear motion, we can calculate the acceleration (a) using the following kinematic expression.

$v^{2} = u^{2} + 2as\\\\(0m/s)^{2} = (3.25m/s)^{2} + 2a(3.25m)\\\\a = -1.63 m/s^{2}$

The negative sign only explains that the friction opposes the movement. We can calculate the force exerted by the friction (F) using Newton's second law of motion.

$F = m \times a$ [1]

where,

m: mass of the book

We can also calculate the force of friction using the following expression.

$F = k \times N = k \times m \times g$ [2]

where,

k: coefficient of kinetic frictionN: normal forceg: gravity (9.81 m/s²)

Given [1] = [2], we get,

$m \times a = k \times m \times g\\\\k = \frac{1.63 m/s^{2} }{9.81 m/s^{2}} = 0.166$

A book that slides across a level, carpeted floor with an initial speed of 3.25 m/s and comes to rest after 3.25 m, has a coefficient of kinetic friction of 0.166.

Learn more: link

Answer from: TaraDean

This question involves the concepts of the equations of motion, Newton's Second Law, and Frictional Force.

The coefficient of kinetic friction is found to be "0.15".

First, we will use the third equation of motion to find out the acceleration of the book:

$2as = v_f^2-v_i^2\\$

where,

a = acceleration = ?

s = distance covered = 3.25 m

vf = final speed = 0 m/s

vi = initial speed = 3.25 m/s

Therefore,

$2a(3.25\ m) = (0\ m/s)^2-(3.25\ m/s)^2\\\\a=\frac{-10.56\ m^2/s^2}{7\ m/s}$

a = - 1.51 m/s² (negative sign indicates deceleration)

Now the force can be calculated using Newton's Second Law of motion:

F = ma

This force is also equal to the frictional force:

F = μmg

comparing both forces, we get:

ma = μmg

a = μg

$\mu = \frac{a}{g} = \frac{1.51\ m/s^2}{9.81\ m/s^2}$

μ = 0.15

Learn more about equations of motion here:

link

The attached picture shows the equations of motion.

Abook slides across a level, carpeted floor with an initial speed of 3.25 m/s and comes to rest afte

Answer from: Quest

orange juice has a lower viscosity

hope it : )

Answer from: Quest

an ion is a charged atom or molecule. it is charged because the number of electrons do not equal the number of protons in the atom or molecule. an atom can acquire a positive charge or a negative charge depending on whether the number of electrons in an atom is greater or less then the number of protons in the atom.

Another question on Physics

Physics, 22.06.2019 02:50

What is required for an electric charge to flow through a wire? zero resistance in the wire a balance of electric potential high resistance in the wire a difference in electric potential

Answers: 1

Answer

Physics, 22.06.2019 08:40

Apulley system is used to lift a 2,000 newton engine up a distance of 3 meters. the operator must apply a force of 250 newtons to the chain of the pulley system to lift the motor. to lift the engine 3 meters, the operator must pull a total of 30 meters of chain through the pulley system. what is the value of di?

Answers: 1

Answer

Physics, 22.06.2019 10:30

Light from a sodium lamp passes through a diffraction grating that has 1000 slits per millimeter. the interference pattern is viewed on a screen 1.000 m behind the grating. the first (m = 1) two bright yellow fringes that are visible are 0.7288 m and 0.7300 m from the central maximum. what are the wavelengths of these two fringes?

Answers: 2

Answer

Physics, 22.06.2019 16:40

Acapacitor is storing energy of 3 joules with a voltage of 50 volts across its terminals. a second identical capacitor of the same value is storing energy of 1 joule. what is the voltage across the terminals of the second capacitor?

Answers: 3

Answer

You know the right answer?

Abook slides across a level, carpeted floor with an initial speed of 3.25 m/s and comes to rest afte...

Questions