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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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In a measurement of a man’s density he is found to have a mass of 75.0 kg in air and an apparent mass of 2.25 kg when completely
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a) m_{w} = 72.75 kg , b)  V = 0.07275 m³ , c)   ρ₂ = 1030.9 km / m³ , d)  ρ₂= 996 kg / m³   float

Explanation:

This is an exercise that we must solve using the Archimedes principle, where the thrust is

         B = ρ g V

a) Let's use Newton's second law

         F = B - W

         F = ρ g V - mg

The force is the apparent weight (m₂ = 2.25 kg) is directed downwards so it is negative

         F = m₂ g

        -m₂ g = ρ g V - m g

        -m₂ g = m_{w} g - mg

         m_{w} = -m₂ + m

         m_{w} = -2.25 + 75.0

         m_{w} = 72.75 kg

b) let's use the definition of density

         ρ = m / V

         V = m /ρ

         V = 72.75 / 1000

         V = 0.07275 m³

c) the density of man is

          ρ₂ = m / V

          ρ₂ = 75.0 / 0.07275

          ρ₂ = 1030.9 km / m³

d) the volume of man increases because the lungs are full of air, as they are half full, with a capacity of 2.5 liters and two lungs the volume is

         V’= ½ 2.5 2

         V’= 2.5 liters

         V’= 2.5 10⁻³ m³

The total volume of man is

         Vt = 0.07275 + 0.0025

         Vt = 0.07525

Let's calculate the density

         ρ₂ = 75.0 / 0.07525

         ρ₂= 996 kg / m³

As this is less than the density of water (1000 kg / m3) man must float

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3 years ago
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