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

  • Thread starter ~christina~
  • Start date
  • Tags
    Box Spring
In summary, a box with a spring attached to it is placed on a horizontal frictionless surface with a block of mass M and a block of mass 3M. After burning a cord that initially held the blocks together, the block of mass 3M moves to the right with a speed of 2.00m/s. The velocity of the block of mass M can be calculated using the equation Ki=Kf. The system's original elastic potential energy can be found by setting M=0.350kg. The original energy is in the spring and not the cord. The momentum of the system is conserved in the bursting-apart process, even though there was no motion beforehand and plenty of motion afterward. This can be seen
  • #1
~christina~
Gold Member
714
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



[tex] SOLVED[/tex] (figured it out)
 
Last edited by a moderator:
Physics news on Phys.org
  • #2
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.
 
  • #3
Oh..I just figured that out while waiting for a response to my post.

Thanks :smile:
 

1. What is a box with spring connected?

A box with spring connected is a simple mechanical system that consists of a box or container attached to a spring. The spring provides a restoring force that brings the box back to its original position when it is displaced.

2. How does a box with spring connected work?

A box with spring connected works by using the potential energy stored in the spring to push or pull the box back to its equilibrium position. When the box is displaced from its original position, the spring exerts a force in the opposite direction, bringing the box back to its initial state.

3. What are the applications of a box with spring connected?

A box with spring connected has various applications, such as in shock absorbers, door closers, and in mechanical toys. It is also commonly used in physics experiments to demonstrate the principles of elasticity and harmonic motion.

4. How is the spring constant of a box with spring connected determined?

The spring constant of a box with spring connected can be determined by measuring the displacement of the box and the force exerted by the spring. The spring constant is calculated by dividing the force by the displacement.

5. What factors affect the behavior of a box with spring connected?

The behavior of a box with spring connected can be affected by factors such as the stiffness of the spring, the mass of the box, and the initial displacement of the box. These factors can alter the frequency and amplitude of the oscillations of the box with spring connected.

Similar threads

  • Introductory Physics Homework Help
Replies
3
Views
1K
  • Introductory Physics Homework Help
Replies
1
Views
2K
  • Introductory Physics Homework Help
Replies
2
Views
1K
  • Introductory Physics Homework Help
Replies
1
Views
1K
  • Introductory Physics Homework Help
Replies
1
Views
5K
  • Introductory Physics Homework Help
Replies
13
Views
3K
  • Introductory Physics Homework Help
Replies
8
Views
869
  • Introductory Physics Homework Help
Replies
7
Views
1K
  • Introductory Physics Homework Help
Replies
1
Views
2K
Replies
47
Views
5K
Back
Top