Question #f55c0

1 Answer
ali ergin
May 16, 2017

#"Please examine carefully the animation."#
#"The sound emitted by the ambulance is perceived differently"#
#"by the observers."#
#v_S=25.19" "m/s#

Explanation:

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#v:"speed of wave"#
#f_A:"The frequency of the sound heard by the observer A."#
#f_B:"The frequency of the sound heard by the observer B."#
#v_S:"speed of source"#
#f_S:"source frequency"#

#"frequency for the observer A: "#

#f_A=f_S(v/(v+v_S))#

#"frequency for the observer B: "#

#f_B=f_S(v/(v-v_S))#

#f_B=f_A+0.16 f_A #

#cancel(f_S)(v/(v-v_S))=cancel(f_S)(v/(v+v_S))+0.16(cancel(f_S)(v/(v+v_S)))#

#(v/(v-v_S))=(v/(v+v_S))+0.16(v/(v+v_S))#

#(cancel(v)/(v-v_S))=(cancel(v)/(v+v_S))(1+0.16)#

#1/(v-v_S)=(1.16)/(v+v_S)#

#1.16v-1.16v_S=v+v_S#

#1.16v-v=v_S+1.16v_S#

#0.16v=2.16v_S#

#v=340 m/s#

#0.16*340=2.16*v_S#

#v_S=(0.16*340)/(2.16)#

#v_S=25.19" "m/s#

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