Concept explainers
Review. A 150-g glider moves at v1 = 2.30 m/s on an air track toward an originally stationary 200-g glider as shown in Figure P16.53. The gliders undergo a completely inelastic collision and latch together over a time interval of 7.00 ms. A student suggests roughly half the decrease in mechanical energy of the two-glider system is transferred to the environment by sound. Is this suggestion reasonable? To evaluate the idea, find the implied sound level at a position 0.800 m from the gliders. If the student’s idea is unreasonable, suggest a better idea.
Figure P16 53
The idea and find the implied sound level at the position
Answer to Problem 53AP
It is unreasonable, implying a sound level
Explanation of Solution
The mass of first glider is
The glider stick together and moved with final speed momentum conservation for the two sliders system.
Formula to calculate the momentum of the two glider systems before collision is,
Here,
The velocity of the second slider systemis zero after collision so, formula to calculte the momentum of the two glider systems after collision is,
Here,
From momentum conservation system, the momentum of the two sliders system before collision and after collision is equal.
Substitute
Since, the velocities of the two sliders systems are equal before collision. Hence, the equation (2) can be written as,
Substitute
Formula to calculate the missing kinetic energy is,
Substitute
Imagine that one half of
Formula to calculate the intensity is,
Here,
Formula to calculate the area of the area of the cross section is,
Here,
Substitute
Substitute
Formula to calculate the intensity level is,
Here,
Substitute
It is unreasonable, implying a sound level
Conclusion:
Therefore, it is unreasonable, implying a sound level
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Chapter 16 Solutions
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