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26 April, 01:26

You have just landed on Planet X. You take out a 100-g ball, release it from rest from a height of 10.0 m, and measure that it takes 2.2 s to reach the ground. You can ignore any force on the ball from the atmosphere of the planet. How much does the 100-g ball weigh on the surface of Planet X?

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  1. 26 April, 02:46
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    Weight in planet X = 0.413 N

    Explanation:

    Weight = Mass x Acceleration due to gravity.

    W = mg

    Mass, m = 100 g = 0.1 kg

    We have equation of motion s = ut + 0.5 at²

    Displacement, s = 10 m

    Initial velocity, u = 0 m/s

    Time, t = 2.2 s

    Substituting

    s = ut + 0.5 at²

    10 = 0 x 2.2 + 0.5 x a x 2.2²

    a = 4.13 m/s²

    Acceleration due to gravity, a = 4.13 m/s²

    W = mg = 0.1 x 4.13 = 0.413 N

    Weight in planet X = 0.413 N
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