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kipiarov [429]
3 years ago
12

The North American Plate is moving west at a rate of approximately 20 mm/yr. How long will it take for New York to move 10° long

itude west of its current position? (Assume 110 km/°longitude at New York's latitude.)
Physics
1 answer:
scZoUnD [109]3 years ago
6 0

Answer:

55000000 years

Explanation:

Rate of North American Plate moving (Velocity) = 20 mm/yr

Degrees New York has to move = 10° west

New York's longitude = 110 km/°

Distance of New York = 110×10 = 1100 km

= 1100×10⁶ mm

\text {Time taken by the continental plate}=\frac {\text {Distance of New York}}{\text {Rate of North American Plate moving (Velocity)}}\\\Rightarrow \text {Time taken by the continental plate}=\frac{1100\times 10^6}{20}\\\Rightarrow \text {Time taken by the continental plate}=55\times 10^6\ years

∴ Time taken by New York to move 10° west is 55000000 years

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From the question we are told that

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The kinetic energy of the satellite is mathematically represented as

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substituting this into the equation

      KE  =  \frac{ 1}{2} *\frac{GMm}{r}

Now the gravitational force of the planet is mathematically represented as

      F_g  = \frac{GMm}{r^2}

Where M is the mass of the planet and  m is the mass of the satellite

 Now looking at the formula for KE we see that we can represent it as

     KE  =  \frac{ 1}{2} *[\frac{GMm}{r^2}] * r

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       KE  =  \frac{ 1}{2} *6600 * 2.3*10^{7}

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