he Himalayas now reach an elevation of 8.8 km, and radiometric dating suggests that their uplift began about 45 million years ago. Assuming

Question

he Himalayas now reach an elevation of 8.8 km, and radiometric dating suggests that their uplift began about 45 million years ago. Assuming a constant rate of uplift, how fast did the Himalayas rise?

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Linh Đan 1 month 2021-07-31T16:13:13+00:00 1 Answers 5 views 0

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    2021-07-31T16:14:52+00:00

    Answer:

    v = 6.20 10⁻¹² m / s,   v =  1.96 10⁻²  cm/year

    Explanation:

    This is a kinematics problem, specifically of uniform motion

            v = d / t

    let’s reduce the magnitudes to the SI system

          d = 8.8 km (1000 m / 1 km) = 8.8 10³ m

          t = 45 10⁶ years (365 day / 1 year) (24 h / 1 day) (3600 s / 1h)

           t = 1,419 10¹⁵ s

    let’s calculate the speed

            v = 8.8 10³ / 1.1419 10¹⁵

             v = 6.20 10⁻¹² m / s

    This is the correct unit of the SI system, but it is more common to give the value in centimeters per year, so let’s reduce the value

           v = 8.8 105 / 45 106

           v =  1.96 10⁻²  cm/year

         

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