Two speakers emit the same sound wave, identical frequency, wavelength, and amplitude. What other quantity would be necessary to
determine if constructive or destructive interference occurs at a particular point some distance from the speakers?
1 answer:
Answer:
Phase Difference
Explanation:
When the sound waves have same wavelength, frequency and amplitude we just need the phase difference between them at a particular location to determine whether the waves are in constructive interference or destructive interference.
Interference is a phenomenon in which there is superposition of two coherent waves at a particular location in the medium of propagation.
When the waves are in constructive interference then we get a resultant wave of maximum amplitude and vice-versa in case of destructive interference.
- For constructive interference the waves must have either no phase difference or a phase difference of nλ, where n is any natural number.
- For destructive interference the waves must have a phase difference of n×0.5λ, where n is any odd number.
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Answer:
We need to separate the x- and y-components of the applied force. For simplicity, I will denote the direction along the inclined plane as x-direction, and the perpendicular direction as y-direction.
Only the x-component of the applied horizontal force does work on the trunk.
But we need to find the magnitude of the force. We know that the trunk is moving with constant speed. So, the x-component of the applied force is equal to the x-component of the gravitational force plus the force of friction.
The work done by the weight of the trunk can be calculated similarly. Only the x-component of the weight does work on the trunk.
Note that the direction of the weight force is opposite of the direction of the motion, so this force does negative work on the trunk.
The energy dissipated by the frictional force can be found as follows:
Additionally, the sum of work done by the friction and weight is equal in magnitude to the work done by the applied force. This shows that our calculations are consistent.
In the second part of the question, the applied force is on the x-direction. We will follow a similar procedure but a different force.
Explanation:
As you can see above, the answers are the same, although the directions of the applied forces are different. The reason for this situation is that in the first part the y-component does no work.