What is the coefficient of kinetic friction for a wood block on a spring?

AI Thread Summary
The discussion revolves around calculating the coefficient of kinetic friction for a wood block attached to a spring. The block has a mass of 0.570 kg and a spring constant of 180 N/m, with the spring compressed by 4.4 cm and then stretched 1.7 cm beyond equilibrium. The main equation proposed for the coefficient of kinetic friction (uk) is derived from the balance of forces involving gravitational force and spring force. Additionally, energy considerations are introduced, suggesting that the energy stored in the spring relates to the work done against friction. The final solution was reached after clarifying the relevant equations and concepts.
RileyAllen
Messages
7
Reaction score
0

Homework Statement


A 0.570-{\rm kg} wood block is firmly attached to a very light horizontal spring(k=180 N/m). It is noted that the block-spring system, when compressed 4.4 cm and released, stretches out 1.7 cm beyond the equilibrium position before stopping and turning back.
What is the coefficient of kinetic friction between the block and the table?

Homework Equations


F=uk*k*x
F=mg

The Attempt at a Solution


uk=mg/(k*x)
I don't know what x is, and even still I don't know if that is the correct way to do the equation.

Any help would be greatly appreciated.
 
Physics news on Phys.org
x is the compression, 4.4 cm. Or the distance of stretch.
It looks like an energy question to me. Something like this:
energy stored in compressed spring = work done against friction + energy stored in stretched spring
I don't see the energy of a spring formula in your list: E = 1/2k*x^2
 
I ended up solving this one. Thanks for replying though!
 
Thread 'Struggling to make relation between elastic force and height'

Thread 'Struggling to make relation between elastic force and height'

Hello guys this is what I tried so far. I used the UTS to calculate the force it needs when the rope tears. My idea was to make a relationship/ function that would give me the force depending on height. Yeah i couldnt find a way to solve it. I also thought about how I could use hooks law (how it was given to me in my script) with the thought of instead of having two part of a rope id have one singular rope from the middle to the top where I could find the difference in height. But the...
View full post »
Thread 'Voltmeter readings for this circuit with switches'

Thread 'Voltmeter readings for this circuit with switches'

TL;DR Summary: I would like to know the voltmeter readings on the two resistors separately in the picture in the following cases , When one of the keys is closed When both of them are opened (Knowing that the battery has negligible internal resistance) My thoughts for the first case , one of them must be 12 volt while the other is 0 The second case we'll I think both voltmeter readings should be 12 volt since they are both parallel to the battery and they involve the key within what the...
View full post »

Similar threads

Time period of SHM & Energy conservation in pulley-spring-block system
Replies
24
Views
3K
Two bars connected by a spring on a floor with friction
Replies
37
Views
1K
Why can we move the spring with constant speed when we apply a force?
Replies
29
Views
2K
Problem with when to use Force and Energy. What compresses spring/
Replies
3
Views
1K
How can I determine the instant the block overcomes static friction?
2
Replies
61
Views
3K
Calculating the spring force constant K
Replies
14
Views
2K
Find elastic energy in the compressed spring.
Replies
12
Views
3K
A rocket on a spring, related to potential/kinetic energy
Replies
3
Views
2K
Spring Problem Involving Variables and Constants Only
Replies
3
Views
1K
Problem of spring block system: force vs conservation of energy
Replies
20
Views
3K

Hot Threads

Recent Insights

Back
Top