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Please thoroughly explain these questions-STEP BY STEP-please 5. The siren on a

ID: 1267545 • Letter: P

Question

Please thoroughly explain these questions-STEP BY STEP-please

5. The siren on a police car emits waves with a frequency f=500 Hz. You are standing by the side of the road when a police car, sounding its siren, approaches you at 30.0 m/s. What frequency do you hear? The speed of sound is 340 m/s.

A)532 Hz               B)540 Hz                C)536 Hz                  D)544 Hz               E)548 Hz

6.If the frequency of a harmonic oscillator doubles, by what factor does the maximum value of acceleration change?

A)2/pi                              B)4                                  C)2                             D) Squareroot(2)

7.The moment of inertia of a solid cylinder about its axis is given by 0.5 MR^2. If this cylinder rolls without slipping, the ratio of its rotational kinetic energy to its transitional kinetic energy is

A) 1:2                                 B)2:1                                     C)1:3                                            D)1:1

8. In Figure 10.4 a given force F is applied to a rod in several different ways. In which case is the torque due to F about the pivot P greatest?

A) 3                           B)4                           C)2                             D)5                         E)1

Explanation / Answer

5)using doppler's equation,

f=fo*(vc-vd)/(vc-vs)

=500*(340)/(340-30)

=548.387 Hz

E)548 Hz

6) a=w^2*r

so it double by a factor of 4

7)ratio= (0.5mv^2/(0.5Iw^2))^-1

=2:1

8)torque= r X F

=rF sin(x)

since sin(x) is maximum at 90 degrees,

the correct answer is figure 1 (option E)