Calculate Spring Constant: Massless Spring & 0.140kg Mass

  • Thread starter Thread starter CAPA
  • Start date Start date
  • Tags Tags
    Spring
AI Thread Summary
A massless spring, initially 0.270 m long, is compressed to 71% of its length with a 0.140 kg mass placed on top, which takes 1.20 seconds to reach the peak after being released. Participants discuss using conservation of energy to determine the spring constant but encounter difficulties in calculating the height and velocity at which the mass leaves the spring. The acceleration of the mass is a key factor, with suggestions to apply Newton's second law (Fnet = ma) to find the acceleration at various displacements. The mass will detach from the spring when its acceleration is less than gravitational acceleration. Understanding these dynamics is crucial for accurately calculating the spring constant.
CAPA
Messages
2
Reaction score
0

Homework Statement



A massless spring of length 0.270 m is in its relaxed position (left diagram). It is compressed to 71.0 percent of its relaxed length, and a mass M = 0.140 kg is placed on top and released from rest (shown on the right). The mass then travels vertically, taking 1.20 s to reach the top of its trajectory. Calculate the spring constant
Diagram http://www.learning.physics.dal.ca/dalphysicslib/Graphics/Gtype13/prob24_CompSpring.gif

Homework Equations





The Attempt at a Solution



I tried using conservation of energy, but kept getting stuck not being able to find how high it goes or the velocity when it leaves the spring
 
Physics news on Phys.org
Welcome to PF!

Hi CAPA! Welcome to PF! :smile:
CAPA said:
I tried using conservation of energy, but kept getting stuck not being able to find how high it goes or the velocity when it leaves the spring

It will leave the spring when the deceleration of the end of the spring is … ? :wink:
 


tiny-tim said:
Hi CAPA! Welcome to PF! :smile:


It will leave the spring when the deceleration of the end of the spring is … ? :wink:

we haven't really done any decelerating questions with springs. How would I go about finding that? would it be equal to gravity?
 
Hi CAPA! :smile:

(just got up :zzz:)

Use Fnet = ma to find the acceleration at a general displacement x.

The mass will leave the spring when that acceleration becomes less than -g. :wink:
 

Thread 'Rolling without slipping on a curved surface'

Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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 »
Thread 'Trying to understand the logic behind adding vectors with an angle between them'

Thread 'Trying to understand the logic behind adding vectors with an angle between them'

My initial calculation was to subtract V1 from V2 to show that from the perspective of the second aircraft the first one is -300km/h. So i checked with ChatGPT and it said I cant just subtract them because I have an angle between them. So I dont understand the reasoning of it. Like why should a velocity be dependent on an angle? I was thinking about how it would look like if the planes where parallel to each other, and then how it look like if one is turning away and I dont see it. Since...
View full post »

Similar threads

Why can we move the spring with constant speed when we apply a force?
Replies
29
Views
2K
Distribution of Energy when work is done on a system of 2 masses connected by a spring
Replies
17
Views
2K
Free Body Diagram of Mass-Spring System
Replies
5
Views
1K
Question about springs and rotational/translational energy
Replies
4
Views
1K
Spring and block on an inclined plane
Replies
27
Views
9K
Pushing spring from both sides - Find the spring constant
Replies
4
Views
2K
Finding the Length and Velocity of a Spring in Circular Motion
Replies
4
Views
2K
A block of mass m is dropped onto the top of a vertical spring....
Replies
8
Views
5K
Calculating spring constant of a spring loaded cannon
Replies
7
Views
3K
Finding spring constant of mass
Replies
8
Views
3K

Hot Threads

Recent Insights

Back
Top