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
JulsSmile [24]
3 years ago
15

In a mail-sorting facility, a 2.50-kg package slides down an inclined plane that makes an angle of 20.0° with the horizontal. Th

e package has an initial speed of 2.00 m/s at the top of the incline, and it slides a distance of 12.0 m.
What must the coefficient of kinetic friction between the package and the inclined plane be so that the package reaches the bottom with no speed?
Physics
1 answer:
lawyer [7]3 years ago
5 0

Answer:

The coefficient of kinetic friction is 0.382.

Explanation:

Given:

Angle of inclination is, \theta=20.0°

Mass of package is, m=2.50\ kg

Initial speed of package is, u=2.00\ m/s

Final speed of the package at the bottom is, v=0\ m/s

Distance of travel along the incline is, d=12.0\ m

Acceleration due to gravity is, g=9.8\ m/s^2

Let the coefficient of kinetic friction be \mu.

Now, the frictional force will be acting along the incline but in the direction opposite to the direction of motion.

So, the net acceleration acting on the package will be up the incline and is equal to:

a=\mu g\cos\theta-g\sin\theta ----------------- 1

Now, using equation of motion, we have:

v^2-u^2=2ad\\\\0-(2.00)^2=2a(12.0)

Solving for 'a', we get:

-4.00=24.0a\\\\a=-\frac{4}{24}=-\frac{1}{6}\ m/s^2

Now, plug in the value of 'a' in equation (1). This gives,

\mu g\cos\theta-g\sin\theta=\frac{1}{6} ( Neglecting negative sign)

Plug in all the given values and solve for \mu. This gives,

9.8(-sin(20)+\mu cos(20))=\frac{1}{6}\\\\-0.342+\mu\times 0.94=0.017\\\\0.94\mu=0.342+0.017\\\\0.94\mu=0.359\\\\\mu=\frac{0.359}{0.94}=0.382

Therefore, the coefficient of kinetic friction is 0.382.

You might be interested in
In physics 28.97 + 45.876 adds up to what?
myrzilka [38]

28.97 + 45.876

equals 74.846

6 0
3 years ago
Read 2 more answers
PLEASE HELP While the Earth is revolving around the sun, less direct sunlight is reaching the Northern Hemisphere than the South
jekas [21]

Answer:

Winter

Explanation:

Earth Rotates about an axis

7 0
3 years ago
What two factors affect the rate of acceleration in an object
Leto [7]
Newton's second law states that F=ma so that means force =mass×acceleration force and mass
8 0
3 years ago
Read 2 more answers
Choose all that apply about the earths crust
rodikova [14]
Your answer for the question is B c e
8 0
2 years ago
Read 2 more answers
Describe a cell at the beginning of the Mitosis process.
ElenaW [278]
<span>Cells may appear inactive during this stage, but they are quite the opposite. This is the longest period of the complete cell cycle during which DNA replicates, the centrioles divide, and proteins are actively produced. </span>
4 0
2 years ago
Other questions:
  • Hint: This problem requires a train of logic. (1) Analyze force diagram, (2) use Newton’s Laws, and (3) solve the equations of m
    10·1 answer
  • A plastic rod 1.3 m long is rubbed all over with wool, and acquires a charge of -3e-08 coulombs. we choose the center of the rod
    13·1 answer
  • A coastal forest was home to a type of burrowing rodent that was not found anywhere else in the world. A year ago, a species of
    14·1 answer
  • a student drew the following model: volcano cooling crust motion plates tension which landform should the student put next in th
    14·2 answers
  • As a delivery truck travels along a level stretch of road with constant speed, most of the power developed by the engine is used
    11·1 answer
  • Please help with these questions as well! I need urgent help! I will give brainliest! God bless!
    6·1 answer
  • Mass number of 43 and 21 electrons what is this atom
    13·1 answer
  • En la siguiente expresión matemáticas w=mg el peso w con relación a se relaciona con la masa m en una proporción
    6·1 answer
  • A student carries a backpack for one mile. Another student carries the same backpack for two miles
    12·1 answer
  • Six parts of Health-Related Fitness
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!