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Black_prince [1.1K]

3 years ago

6

On December 26, 2004, a great earthquake occurred off the coast of Sumatra and triggered immense waves (tsunami) that killed som

e 200000 people. Satellites observing these waves from space measured 800 from one wave crest to the next and a period between waves of 1.0 hour.Part AWhat was the speed of these waves in m/s?Express your answer using two significant figures.=Part BWhat was the speed of these waves in km/h ?Express your answer using two significant figures.=

1 answer:

k0ka [10]3 years ago

5 0

Answers:

a) 222.22 m/s

b) 800.00 km/h

Explanation:

The speed of a wave is given by the following equation:

$v=f \lambda$

Where:

$v$ is the speed

$f=\frac{1}{T}$ is the frequency, which has an inverse relation with the period $T=1 h$

$\lambda=800 km$ is the wavelength

Solving with the given units:

$v=\frac{1}{T}\lambda$

$v=\frac{1}{1 h}800 km$

$v=800.00 km/h$ This is the speed of the wave in km/h

Transforming this speed to m/s:

$v=800.00 \frac{km}{h} \frac{1 h}{3600 s} \frac{1000 m}{1 km}$

$v=222.22 m/s$ This is the speed of the wave in m/s

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Using formula of energy

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Using formula of kinetic energy

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