Effect of Two Springs on an Object

  • Thread starter jemstone
  • Start date
  • Tags
    Springs
In summary, a spring is compressed by length \Deltax and launches a block with speed v0 across a frictionless surface. Two identical springs also compressed by length \Deltax are used to launch the same block. Using the equations Fsp = -k\Deltas, Us = 1/2 k(\Deltas)2, and K = 1/2 mv2, it was determined that the block's speed would be sqr(2)v in this scenario.
  • #1
jemstone
7
0

Homework Statement


The spring in the figure (link 1) (a)is compressed by length [tex]\Delta[/tex]x. It launches the block across a frictionless surface with speed v0. The two springs in the figure (link 2) (b) are identical to the spring of the figure . They are compressed by the same length [tex]\Delta[/tex]x and used to launch the same block. What is the block's speed now?
picture1: http://session.masteringphysics.com/problemAsset/1000762/5/knight_Figure_10_38a.jpg

picture 2: http://session.masteringphysics.com/problemAsset/1000762/5/knight_Figure_10_38b.jpg

Homework Equations


Fsp = -k[tex]\Delta[/tex]s
Us = 1/2 k([tex]\Delta[/tex]s)2
K = 1/2 mv2

The Attempt at a Solution



I'm not sure what the effect of two springs would be, but in terms of V0 I feel like it might be 2V0, but that seems to easy.
 
Physics news on Phys.org
  • #2
jemstone said:

The Attempt at a Solution



I'm not sure what the effect of two springs would be, but in terms of V0 I feel like it might be 2V0, but that seems to easy.

Try making some substitutions using the equations you quoted to see if your feeling is right or not.
 
  • #3
What do you think happens to the force on the block?
 
  • #4
Ok I figured it out! I plugged in all the numbers and found that it is sqr(2)v

thanks!
 

What is the "effect of two springs" on an object?

The "effect of two springs" on an object refers to the combined impact that two springs have on an object when they are attached to it and stretched or compressed. This effect can include changes in the object's position, velocity, and acceleration.

How does the stiffness of the springs affect their effect on an object?

The stiffness of the springs can greatly impact their effect on an object. Stiffer springs will require more force to stretch or compress, resulting in a larger change in the object's position or acceleration. On the other hand, less stiff springs will require less force and result in smaller changes in the object's position or acceleration.

What is the relationship between the two springs and the object's frequency of oscillation?

The relationship between the two springs and the object's frequency of oscillation depends on the individual characteristics of the springs and the object. In general, if the springs have a higher stiffness and the object has a lower mass, the frequency of oscillation will be higher. Similarly, if the springs have a lower stiffness and the object has a higher mass, the frequency of oscillation will be lower.

Can the two springs cancel each other's effects on an object?

In certain cases, the two springs may cancel each other's effects on an object. This can occur when the two springs have equal and opposite stiffness and are attached to the object in a way that they pull in opposite directions. In this scenario, the net effect of the two springs on the object will be zero.

What factors can affect the "effect of two springs" on an object?

The "effect of two springs" on an object can be affected by various factors such as the stiffness of the springs, the mass and shape of the object, the type of attachment between the springs and the object, and any external forces acting on the object. Other factors such as friction and air resistance can also play a role in the overall effect of the two springs on the object.

Similar threads

  • Introductory Physics Homework Help
Replies
29
Views
895
  • Introductory Physics Homework Help
Replies
5
Views
9K
  • Introductory Physics Homework Help
Replies
17
Views
284
  • Introductory Physics Homework Help
Replies
12
Views
1K
  • Introductory Physics Homework Help
Replies
3
Views
1K
  • Introductory Physics Homework Help
Replies
3
Views
437
  • Introductory Physics Homework Help
Replies
8
Views
1K
  • Introductory Physics Homework Help
Replies
3
Views
1K
  • Introductory Physics Homework Help
Replies
2
Views
2K
  • Introductory Physics Homework Help
Replies
9
Views
1K
Back
Top