A friend rides, in turn, the rims of three fast merry-go-rounds while holding a sound source that emits isotropically at a certain frequency. You stand far from each merry-go-round. The frequency you hear for each of your friend's three rides varies as the merry-go-round rotates. The variations in frequency for the three rides are given by the three curves in Fig. 17.5. Rank the curves according to (a) the linear speed of the sound source, (b) the angular speeds of the merry-go-rounds, and (c) the radii r of the merry-go-rounds, greatest first.

Complete Question

The complete question is shown on the first uploaded image

a

The Ranking of the curve according to their speed would be equal Rank because    

b

 The first frequency would have a higher rank compared to the other two which will have the same ranking when ranked with respect to their angular velocities because

c

The ranking of  the second third frequency would be the same but their ranking would be greater than that of the first frequency because

Explanation:

Mathematically Frequency can be represented as

Where is the wavelength and v is the velocity

   Now looking at the diagram we see that

          For the  first frequency we have

             Let the wavelength be   , and the frequency  

           For  the second frequency

           Let the wavelength be   , and the frequency

           For  the third frequency

           Let the wavelength be   ,  and the frequency

To obtain v for each of the frequency we make v the subject in the equation above for each frequency

  So,

        For the  first frequency we have

          For  the second frequency

           For  the third frequency

Hence

The Ranking of the curve according to their speed would be equal Rank because    

 Mathematically angular speed can be represented as

   For the  first frequency we have

    For  the second frequency

     For  the third frequency

 Hence

          The first frequency would have a higher rank compared to the other two which will have the same ranking when ranked with respect to their angular velocities because

Mathematically the relationship between the angular velocity and the linear velocity can be represented as

                    =>    

 Since the linear velocity is constant we have that

This means that r varies inversely to the angular velocity ,What this means for ranking due to the radius is that the ranking of  the second third frequency would be the same but their ranking would be greater than that of the first frequency because

note: the given question is incomplete.

complete question is given below.

which is an example of kinetic energy?

a. the energy stored in ethanol  

b. a hockey puck sliding across the ice  

c. a compressed spring  

d. a ball sitting at the top of a ramp

solution: the kinetic energy is the energy posses by the virtue of the motion of the object.

in the given options, a, c and d are the example of potential energy because it is the energy posses by the virtue of the rest of the object. but option b has the kinetic energy as the object is in motion.

hence, a hockey puck sliding across the ice   is the apex example of kinetic energy.

so, the option (b) a hockey puck sliding across the ice   is the correct option.

total distance/total time

(85 + 82)/(5+3)

167/8

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