1.A pendulum has a period of 0.58s on Earth. Part A What is its period on Mars,

Question

1.A pendulum has a period of 0.58s on Earth.

Part A

What is its period on Mars, where the acceleration of gravity is about 0.37 that on Earth?

Express your answer using two significant figures.

2.A fisherman notices that his boat is moving up and down periodically without any horizontal motion, owing to waves on the surface of the water. It takes a time of 3.00s for the boat to travel from its highest point to its lowest, a total distance of 0.600m . The fisherman sees that the wave crests are spaced a horizontal distance of 6.00m apart.

Part A

How fast are the waves traveling?

Express the speed v in meters per second using three significant figures.

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Part B

What is the amplitude A of each wave?

Express your answer in meters using three significant figures.

  m  

3.

3.A person standing a certain distance from an airplane with four equally noisy jet engines is experiencing a sound level of 141dB .

Part A

3.What sound level would this person experience if the captain shut down all but one engine? [Hint: Add intensities, not dB's.]

Express your answer to three significant figures and include the appropriate units.

? =

4.As a bat flies toward a wall at a speed of 6.50m/s ,the bat emits an ultrasonic sound wave with frequency 28.0kHz .

Part A

What frequency does the bat hear in the reflected wave?

Explanation / Answer

T2/T1= sqrt(g1/g2)

T2= 0.58*(1/0.37)^.5 = 0.95 s

2) V = 6/3 = 2 m/s

B ) A = 0.6/2 = 0.3 m

3) 141 = 10*log(4I/Io)

I = 31.47e+12*Io

10*log(3I/Io) = 139.75 dB

4)f' = (V*fo)/(V-Vs) = 28.54 kHz

f" = (V+Vs)*f'/V = ((343+6.5)*28.54)/343 = 29.08 kHZ

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