Why is the work done against friction not equal to the force times distance?

In summary, the conversation discusses a question about calculating the work done against friction. The question involves a 3 kg block being moved by a 10 N force on a rough horizontal ground. The block has an acceleration of 2ms-2 and the force stops acting after 4 seconds. The conversation concludes by discussing different methods for finding the distance traveled by the block before it comes to rest, including using kinematics and setting work done by friction equal to the change in kinetic energy.
  • #1
eureka_beyond
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0

Homework Statement


the question and answers are in the attachment, I don't understand question 8b) (ii), why is the work done against friction =f x d and not 10N x d?


Homework Equations





The Attempt at a Solution

 

Attachments

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  • #2
For some reason, I cannot view those attachments. Can you describe the problem?
eureka_beyond said:
why is the work done against friction =f x d and not 10N x d?
The obvious question is: What does the friction force equal?
 
  • #3
okay, the question goes like this:
on a rough horizontal Ground, a 3 kg block at rest is moved be a Force of 10N. The acceleration of the block is 2ms-2.
if the force ceases to act after 4 seconds,
what 's the further distance traveled by the block before it comes to rest?
 
  • #4
eureka_beyond said:
if the force ceases to act after 4 seconds,
That means the 10 N force is no longer applied.
what 's the further distance traveled by the block before it comes to rest?
What's the only force acting to slow down the block?
 
  • #5
that's got to be the friction, right?
 
  • #6
eureka_beyond said:
that's got to be the friction, right?
Yes. Now use the given information to figure out the friction force. (Hint: Newton's 2nd law.)
 
  • #7
by Newton's 2nd law
F=ma
Let the friction be f
10-f=3(2)
f=4N
 
  • #8
eureka_beyond said:
by Newton's 2nd law
F=ma
Let the friction be f
10-f=3(2)
f=4N
Good!
 
  • #9
yay! thanks a million. but there's another thing, how do I get the further distance traveled by the block before it comes to rest?
 
  • #10
eureka_beyond said:
yay! thanks a million. but there's another thing, how do I get the further distance traveled by the block before it comes to rest?
Several ways:
(1) You can find the acceleration and use kinematics. (First figure out how fast the block is moving at the end of 4 seconds.)
(2) You can set the work done by friction equal to the change in kinetic energy.
 
  • #11
ah, I see. The book must have been using the second way you describe, I get it now, thanks a lot.
 

1. What is the difference between work, energy, and power?

Work, energy, and power are all related concepts in physics, but they have distinct meanings. Work is defined as the force applied to an object multiplied by the distance the object moves in the direction of the force. Energy is the ability of an object to do work. Power is the rate at which work is done or energy is transferred. In other words, work is a measure of the effort put into a task, energy is the potential to do work, and power is the rate at which energy is used or transferred.

2. How are work, energy, and power related?

Work, energy, and power are related through the equation W = Fd, where W represents work, F represents force, and d represents distance. This equation shows that work is directly proportional to both force and distance. Energy is also related to work through the concept of potential and kinetic energy. Power is related to work and energy through the equation P = W/t, where P represents power and t represents time.

3. What are the units for work, energy, and power?

The SI (International System of Units) unit for work is the joule (J). The joule is equivalent to one newton-meter (N·m). The SI unit for energy is also the joule. The SI unit for power is the watt (W), which is equivalent to one joule per second (J/s).

4. What are some examples of work, energy, and power in everyday life?

Work, energy, and power can be seen in many everyday activities. For example, lifting a book off a table requires work, as you are applying a force to move the book a certain distance. The book also has potential energy due to its position above the ground, which can be converted into kinetic energy if dropped. Power can be seen when using appliances such as a blender or vacuum cleaner, where energy is being transferred at a certain rate to perform work.

5. How is the conservation of energy principle related to work and power?

The conservation of energy principle states that energy cannot be created or destroyed, only transformed from one form to another. This means that the total amount of energy in a system remains constant. When work is done on an object, energy is transferred to it, and when work is done by an object, energy is transferred away from it. Power is a measure of how quickly this energy is transferred. Therefore, the conservation of energy principle is closely related to work and power, as it explains how energy is conserved and transformed in different forms.

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