What is the solution to a box with a spring connected to it?

  • Thread starter Thread starter ~christina~
  • Start date Start date
  • Tags Tags
    Box Spring
AI Thread Summary
The problem involves two blocks of mass M and 3M on a frictionless surface, with a spring between them. After a cord holding them together is burned, the 3M block moves at 2.00 m/s, prompting questions about the velocity of the M block, the system's original elastic potential energy, and momentum conservation. The solution reveals that total energy is conserved, equating the potential energy of the spring to the kinetic energy of both blocks. The original energy is attributed to the spring rather than the cord, and momentum conservation is explained despite initial stationary conditions. The discussion concludes with the realization that the spring's compression is not necessary for the calculations.
~christina~
Gold Member
Messages
714
Reaction score
0
[SOLVED] box with spring coneected

Homework Statement



2 Blocks of mass M and 3M are placed on a horizontal frictionless surface. A light spring is attatched to one of them and the blocks are pushed together with the spring between them. A cord initally holding the blocks together is burned; after that happens, the block of mass 3m moves to the right with a speed of 2.00m/s

a) What is the velocity of the block of mass M?

b)find system's original elastic potential E, taking the M= 0.350kg

c) Is the original energy in the spring or cord?

d) Is the momentum of the system conserved in the bursting-apart process?
How can it be with no motion beforehand and plenty of motion afterward?

http://img208.imageshack.us/img208/6215/boxwithstringsb5.th.jpg

Homework Equations



Ki= Kf

The Attempt at a Solution



SOLVED (figured it out)
 
Last edited by a moderator:
Physics news on Phys.org
In this system the total energy is conserved. Therefore PE of the spring is equal to the total KE of M and 3M. Here spring constant or amount of compression is not needed. While calculating cancel M.
 
Oh..I just figured that out while waiting for a response to my post.

Thanks :smile:
 
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...
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...
Back
Top