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21 October, 19:20

A meteorite has a speed of 95.0 m/s when 750 km above the Earth. It is falling vertically (ignore air resistance) and strikes a bed of sand in which it is brought to rest in 3.35 m. Part A What is its speed just before striking the sand?

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  1. 21 October, 19:27
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    3.83 km/s.

    Explanation:

    u = 95 m/s, h = 750 km = 750,000 m

    Let the speed is v as it strikes the sand.

    Use third equation of motion

    v^2 = u^2 + 2 g h

    v^2 = 95^2 + 2 x 9.8 x 750000

    v^2 = 9025 + 14700000 = 14709025

    v = 3835.23 m / s = 3.83 km / s

    Thus, the speed of the meteorite as it strikes t sand is 3.83 km/s.
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