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
SCORPION-xisa [38]
9 months ago
6

Jake is helping Fin push a box at a constant velocity up an incline that makes an angle of 30.0° above the horizontal by applyin

g a 94.0N force in line with the incline over 2.30m. If the coefficient of kinetic friction between the box and the incline is 0.280, a) what is the work done by the pushing force, in Joules? b) What is the mass of the box, in kilograms?
Physics
1 answer:
andre [41]9 months ago
7 0

Given data

The angle of inclination of the plane is theta = 30 degree

The applied force in the inclined plane is F = 94 N

The distance moved in the inclined plane is d = 2.30 m

The coefficient of kinetic friction is u_k = 0.280

The free-body diagram of the above configuration is shown below:

Here, the normal reaction force on the box is N, the acceleration due to gravity is denoted as g, the friction force on the box is F_f, and the mass of the box is denoted as m.

(a)

The expression for the work done by the pushing force is given as:

W=Fd

Substitute the value in the above equation.

\begin{gathered} W=94\text{ N}\times2.30\text{ m} \\ W=216.2\text{ J} \end{gathered}

Thus, the work done by the pushing force is 216.2 J.

(b)

The box is moving at the constant velocity, therefore, the pushing force will be equal to the frictional force and the component of the gravitational force in the inclined plane.

\begin{gathered} F=F_f+mg\sin \theta \\ F=\mu_kN+mg\sin \theta \end{gathered}

The expression for the normal reaction force is given as:

N=mg\cos \theta

The expression for the mass of the box is given as:

\begin{gathered} F=\mu_k\times mg\cos \theta+mg\sin \theta \\ m=\frac{F}{\mu_kg\cos \theta+g\sin \theta} \end{gathered}

Substitute the value in the above equation.

\begin{gathered} m=\frac{94\text{ N}}{0.28\times9.8m/s^2\times\cos 30^o+9.8m/s^2\times\sin 30^0} \\ m=12.9\text{ kg} \end{gathered}

Thus, the mass of the box is 12.9 kg.

You might be interested in
I didnt want my question public i made a mistake i want it taken down
mrs_skeptik [129]
Then report it and it might be taken down
5 0
2 years ago
Why does an object above the ground have P.E.?
Advocard [28]
This doesn't make sense
6 0
3 years ago
Read 2 more answers
speed of sound is 343 Ms at 20 degrees Celsius. The frequency heard from the sound is 256 Hz. what is the sounds wavelength?
Lina20 [59]
S= 343m/s
F=256Hz

WL= 343ms/256-1
WL=V/F

 = 1.339844m     
7 0
3 years ago
If a point has 40 J of energy and the electric potential is 8 V, what must be the charge?
Alekssandra [29.7K]

If a point has 40 J of energy and the electric potential is 8 V, the charge must be: A. 5 C

<u>Given the following the details;</u>

  • Energy = 40 Joules
  • Electric potential = 8 Volts

To find the quantity of charge;

Mathematically, the quantity of charge with respect to electric potential is given by the formula;

Quantity \; of \; charge = \frac{Energy}{Electric \; potential}

Substituting the values into the formula, we have;

Quantity \; of \; charge = \frac{40}{8}

<em>Quantity of charge = 5 Coulombs</em>

Therefore, the quantity of charge must be <em>5 Coulombs.</em>

Find more information: brainly.com/question/21808222

8 0
3 years ago
Read 2 more answers
How many grams of co2 are in 3 moles of the compound
Ber [7]

Answer:132.0285

Explanation: Hope this helps!

7 0
2 years ago
Read 2 more answers
Other questions:
  • The pacific plate is located under the pacific ocean. Its movement has created the island arc and the ring of fire. This plate d
    13·2 answers
  • If an object mechanical energy is equal to its potential energy how much Connecticut energy does the object have
    6·2 answers
  • HELP WILL MEDAL !!!!!!!!!!!!!!!!!!!
    7·2 answers
  • A mass hanging from a vertical spring is in simple harmonic motion as given by the following position function, where t is measu
    7·1 answer
  • A 75-turn coil with a diameter of 6.00 cm is placed in a constant, uniform magnetic field of 1.00 T directed perpendicular to th
    12·1 answer
  • The current in a toaster is 20 amps, and its voltage is 200 volts. What is the resistance in the toaster?
    7·2 answers
  • Can a magnet attract a pure substance?
    10·1 answer
  • Pls someone help me with this :(
    9·1 answer
  • Which proportion can you use to find the value of a? (posted in this category because of bots)
    10·1 answer
  • Find the kenetic energy of a car of mass 700kg racing with a velocity of 10m/s
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!