1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Stolb23 [73]
3 years ago
10

A book of mass 7 kg rests on a plank. You tilt one end of the plank and slowly increase the angle of the tilt. The coefficient o

f static friction between the book and the plank is 0.32. What is the maximum angle of tilt for which the book will remain stationary and not slide down the plank
Physics
2 answers:
VARVARA [1.3K]3 years ago
5 0

Answer:

17.74°

Explanation:

For an inclined surface,

F = μmgcosΦ................ Equation 1

F' = mgsinΦ................. Equation 2

Where F = friction force, F' = down slope force, m = mass of the book, g = acceleration due to gravity, μ = coefficient of static friction, Φ = maximum angle of tilt.

For the book to remain stationary and not slide.

F = F'

μmgcosΦ = mgsinΦ

μ = cosΦ/sinΦ

μ = tanФ

make Ф the subject of the equation

Ф = tan⁻¹(μ).................... Equation 3

Given: μ = 0.32

Substitute into equation 3

Ф = tan⁻¹(0.32)

Ф = 17.74°

MAXImum [283]3 years ago
5 0

To solve this problem we will apply the concepts related to the Friction force and the force induced by gravity. Since the displacement is in angular mode, the component of the horizontal force of friction will be equivalent to the component of the vertical force of gravity. For balance to exist, both must be equal

F_{fx} = F_{gy}

Where,

F_{fx} = \mu mg cos\theta

F_{gy} = mg sin \theta

m = Mass

g = Gravitational acceleration

\mu = Constant of friction

Then,

m g sin \theta = \mu m g cos \theta

sin \theta = mu cos \theta

tan \theta = mu

tan\theta = 0.32

\theta = 17.74\°

Therefore the maximum angle  of tilt for which the book will remain stationary and not slide down the plank is 17.74°

You might be interested in
What is newton's 3rd law of physics ​
ValentinkaMS [17]

Answer:

His third law states that for every action (force) in nature there is an equal and opposite reaction. In other words, if object A exerts a force on object B, then object B also exerts an equal and opposite force on object A.

4 0
3 years ago
Calculate the amount of heat (kcal) released when 50.0g of steam at 100*c hits the skin, condenses, and cools to a body temperat
luda_lava [24]
As the steam touches the skin, it undergoes a phase change and releases latent heat due to the phase change. As it reaches equilibrium, it releases sensible heat. We calculate as follows:

Q = latent heat + sensible Heat
Q = 2.26 kJ / g (50.0 g) + 50.0 g ( 4.18 J / g C) (37 C - 100 C) ( 1 kJ / 1000 J)
Q = 99.833 kJ
6 0
3 years ago
Read 2 more answers
plastic bags have replaced for the packing of the most materials. give these advantages and two disadvantages of using plastic o
Nezavi [6.7K]
It is waterproof and more durable
5 0
3 years ago
More Density Graphi Questions
nata0808 [166]

Answer:

?

Explanation:

6 0
3 years ago
Lighting a match changes chemical energy into heat and light. The total amount of energy _____.
Mariulka [41]
Hello.

The answer is <span>remains the same.

</span>The total amount of energy stays the same because the 1st Law of Thermodynamics states that energy can neither be created nor destroyed, it can only change forms. <span>So the chemical energy is just being converted into heat and light.
</span>
Have a nice day
8 0
3 years ago
Read 2 more answers
Other questions:
  • force of 10 lb is required to hold a spring stretched 4 in. beyond its natural length. How much work W is done in stretching it
    5·1 answer
  • You toss a racquetball directly upward and then catch it at the same height you released it 1.82 s later. assume air resistance
    9·1 answer
  • A man hits a 50 grams golf ball such that it leaves the tee at an angle of 40o with the horizontal and strikes the ground at the
    8·1 answer
  • list all the storage forms of energy that forms of energy that you are familiar with. for each storage form, give an example of
    15·1 answer
  • In a certain velocity selector consisting of perpendicular electric and magnetic fields, the charged particles move toward the e
    8·1 answer
  • Why is your State have dimensions ​
    9·1 answer
  • An impulse of 12.2kg m/s is delivered to an object whose initial momentum is 4.5kgm/s. What is the object's final momentum?
    12·1 answer
  • Part 1. Define the following terminologies
    9·1 answer
  • In this equation Fs=-kx, Fs means:
    12·1 answer
  • What are the Cultural impacts from vehicles?
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!