The highest mountain on mars is olympus mons, rising 22000 meters above the martian surface. If we were to throw an object horizontaly off t

Question

The highest mountain on mars is olympus mons, rising 22000 meters above the martian surface. If we were to throw an object horizontaly off the mountain top, how long would it take to reach the surface? (Ignore atmospheric drag forces and use gMars=3.72m/s^2

a. 2.4 minutes
b. 0.79 minutes
c. 1.8 minutes
d. 3.0 minutes

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Vodka 3 years 2021-08-10T09:02:50+00:00 1 Answers 11 views 0

Answers ( )

  1. Thunguyet
    0
    2021-08-10T09:04:31+00:00
    Reply

    Answer:

      t = 1.81 min
    ,     the correct answer is c

    Explanation:

    This is a missile throwing exercise

    The object is thrown horizontally, so its vertical speed is zero (voy = 0), let’s use the equation

                 y = y₀ + v_{oy} t – ½ g t²

    the final height is y = 0 and the initial height is y₀ = 22000 m

                0 = y₀ + 0 – ½ g t²

                 

                t = √y 2y₀ / g

    let’s calculate

               t = √(2  22000 / 3.72)

               t = 108.76 s

    let’s reduce to minutes

               t = 108.76 s (1 min / 60 s)

               t = 1.81 min

    The correct answer is c

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