Blocks with light springs (q31)

In summary, the conversation is about a problem involving blocks and light springs where the initial attempts have failed. The person is seeking help and someone suggests using conservation of energy and conservation of momentum to solve the problem. After some discussion, the person is able to successfully solve the problem and provides the working.
  • #1
jack1234
133
0
Blocks with light springs (q31)

Hi, I have not idea how to do the following problem(all attempts failed):
http://tinyurl.com/28lahv

Can somebody help?
 
Last edited:
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  • #2
It might help if you showed what you have tried. See https://www.physicsforums.com/showthread.php?t=94379
 
  • #3
Sorry, I am not sure how to start the question with...just hope anyone can shed me some light.
 
  • #4
OK. As a first step can you describe the energy transfer(s) that happen?
 
  • #6
Use conservation of energy and conservation of momentum. remember the spring is light, so just assume its mass is 0.
 
  • #7
Got it, thanks:)
Followed is the working:
By conservation of momentum
0=3*2+2*v
v=3m/s
Potential energy stored in the spring
= sum of total kinetic energy
=0.5*2*(3)^2+0.5*3*(2)^2
=15J
 

1. What are blocks with light springs?

Blocks with light springs are objects that consist of a block or mass attached to a spring with a relatively low spring constant. When the block is displaced from its equilibrium position, the spring will exert a restoring force that is proportional to the displacement.

2. How do blocks with light springs behave?

Blocks with light springs exhibit simple harmonic motion, meaning they oscillate back and forth around their equilibrium position with a constant amplitude and period. The motion of the block can be described by a sine or cosine function.

3. What factors affect the motion of blocks with light springs?

The amplitude and period of the motion are affected by the mass of the block, the spring constant, and the initial displacement of the block. The amplitude decreases over time due to the damping effect of air resistance and friction.

4. What are some real-life applications of blocks with light springs?

Blocks with light springs are commonly used in various types of clocks, such as pendulum clocks, to keep accurate time. They are also used in shock absorbers in vehicles to reduce the impact of bumps in the road.

5. How can blocks with light springs be used in scientific experiments?

Blocks with light springs can be used to study the relationship between force, mass, and acceleration, as well as the concept of energy conservation. They can also be used to investigate the effects of different spring constants on the motion of the block.

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