When do two pulses begin to meet?

  • Thread starter tigers4
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In summary, a 140 g wire is held under a tension of 200 N with one end at x = 0 and the other at x = 7.0 m. At time t = 0, pulse 1 is sent along the wire from the end at x = 7.0 m and at time t = 30.0 ms, pulse 2 is sent along the wire from the end at x = 0. The pulses are moving towards each other with the same velocity in opposite directions. To find where they meet, one can either use kinematic equations to solve for the distance from the origin where the two objects meet, or find the relative velocity of Pulse 2 with respect to Pulse 1 and
  • #1
tigers4
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Homework Statement


A 140 g wire is held under a tension of 200 N with one end at x = 0 and the other at x = 7.0 m. At time t = 0, pulse 1 is sent along the wire from the end at x = 7.0 m. At time t = 30.0 ms, pulse 2 is sent along the wire from the end at x = 0. At what position x do the pulses begin to meet?


Homework Equations


v=sqrt(T/DENSITY)



The Attempt at a Solution



I assume you set two equations equal, but am unsure how to use the information given to find where they meet
 
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  • #2
Well, they have the same velocity that you give, but in the opposite direction. Try not to think about them as pulses but as two objects (like cars or something similar) moving towards each other with that velocity and see if you can find some kinematic equation to solve for where the two objects meet. See also if you need to use 7-x instead of x in one of the equations (so you get the distance from the origin for the first object).
 
  • #3
You could also find the relative velocity of Pulse 2 with respect to Pulse 1 and put the situation in the perspective of Pulse 1. The question then becomes "When does Pulse 2 arrive at x=0 m? (Then you'd have to convert back to the original reference frame.)
 

1. What is the definition of two pulses meeting?

Two pulses meeting refers to the point at which two distinct waves or oscillations cross paths and combine. This can result in interference, amplification, or cancellation of the waves depending on their properties.

2. How do you determine when two pulses will meet?

The point at which two pulses will meet can be determined by calculating the distance between the two pulses, their velocities, and the time it takes for them to travel. This can be done using the formula t = d/v, where t is time, d is distance, and v is velocity.

3. What factors affect the time at which two pulses will meet?

The time at which two pulses will meet can be affected by the distance between the pulses, the velocity of the pulses, and the medium in which the pulses are traveling. Additionally, factors such as reflection, refraction, and diffraction can also affect the time at which two pulses meet.

4. Can two pulses meet at different points in time?

Yes, two pulses can meet at different points in time depending on their velocities and the distance between them. If the pulses are traveling at different speeds, they may meet at different points in time. Additionally, if one pulse is reflected or refracted, it may meet the other pulse at a different point in time.

5. How does the amplitude of two pulses affect when they will meet?

The amplitude of two pulses does not directly affect when they will meet. However, the amplitude of the resulting wave formed by the meeting of the two pulses can be influenced by the amplitudes of the individual pulses. If the amplitudes are similar, the resulting wave will have a higher amplitude, while if the amplitudes are opposite, the resulting wave may have a lower amplitude or be canceled out completely.

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