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
Kisachek [45]
3 years ago
13

A block of weight mg sits on an inclined plane as shown in (Figure 1) . A force of magnitude F1 is applied to pull the block up

the incline at constant speed. The coefficient of kinetic friction between the plane and the block is μ.What is the total work WfricWfricW_fric done on the block by the force of friction as the block moves a distance LLL up the incline? Express the work done by friction in terms of any or all of the variables μμmu, mmm, ggg, θθtheta, LLL, and F1F1F_1.
Physics
1 answer:
svlad2 [7]3 years ago
4 0

Answer:

W = (F1 - mg sin θ) L,   W = -μ  mg cos θ L

Explanation:

Let's use Newton's second law to find the friction force. In these problems the x axis is taken parallel to the plane and the y axis perpendicular to the plane

Y Axis  

       N - W_{y} =

       N = W_{y}

X axis

       F1 - fr - Wₓ = 0

       fr = F1 - Wₓ

Let's use trigonometry to find the components of the weight

     sin θ = Wₓ / W

     cos θ = W_{y} / W

      Wₓ = W sin θ

      W_{y} = W cos θ

We substitute

      fr = F1 - W sin θ

Work is defined by

        W = F .dx

        W = F dx cos θ

The friction force is parallel to the plane in the negative direction and the displacement is positive along the plane, so the Angle is 180º and the cos θ= -1

         

        W = -fr x

        W = (F1 - mg sin θ) L

Another way to calculate is

         fr = μ N

         fr = μ W cos θ

the work is

         W = -μ  mg cos θ L

You might be interested in
A teacher gives students four liquids commonly found in the kitchen - vinegar, apple juice, dish detergent, and milk - and pH in
Andru [333]

Answer:

vinagar2.5 -apple juice3.4to 4 -milk 6.5to7-dish detergent7to8

8 0
3 years ago
Read 2 more answers
A slanted surface used to raise an object is a(n)​
Dmitriy789 [7]

Answer:

Inclined Plane

Explanation:

7 0
2 years ago
An object ends up at a final position of x=-55.25 meters after a displacement of -189.34 meters after a displacement of -189.34
Travka [436]

The initial position of the object was found to be 134.09 m.

<u>Explanation:</u>

As displacement is the measure of difference between the final and initial points. In other words, we can say that displacement can be termed as the change in the position of the object irrespective of the path followed by the object to change the path. So

Displacement = Final position - Initial position.

As the final position is stated as -55.25 meters and the displacement is also stated as -189.34 meters. So the initial position will be

Initial position of the object = Final position-Displacement

Initial position = -55.25 m - (-189.34 m) = -55.25 m + 189.34 m = 134.09 m.

Thus, the initial position for the object having a displacement of -189.34 m is determined as 134.09 m.

4 0
2 years ago
if the forces are moving in the same direction, ____ the forces. Please help i’m actually so confused!
jasenka [17]

Answer:

Explanation:

the directions may change

Or they will repel and become opposite sides

6 0
2 years ago
If I travel 300 m east, then 400 m west, what is my distance &amp;<br> displacement?
ad-work [718]

Answer:100m west

Explanation:

6 0
3 years ago
Other questions:
  • The broom hocket fame helps you work on what skill?
    10·1 answer
  • An elementary particle of mass m completely absorbs a photon, after which its mass is 1.01m. (a) what was the energy of the inco
    12·1 answer
  • What is the climate of northern Alaska?
    6·2 answers
  • A spherical shell of mass M and radius R is completely filled with a frictionless fluid, also of mass M. It is released from res
    8·1 answer
  • A point charge Q is located a distance d away from the center of a very long charged wire. The wire has length L &gt;&gt; d and
    11·1 answer
  • A train travels 2km in 100 seconds. find the velocity of the train
    13·1 answer
  • Two objects each with a mass of 5x10^15 kg have a gravitational
    6·1 answer
  • Write the law of friction???​
    15·2 answers
  • What are Base Quantities ?​
    10·2 answers
  • if a car engine has a thermal efficiency of 40% and it does 400 j of work in one cycle, how much energy input does it require ea
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!