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28 January, 18:37

An astronaut is on a new planet. She discovers that is she drops a space rock from 12m above the groundnut has a final velocity of 3m/s just before it strikes the planet surface. What is the acceleration due to gravity on the planet?

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  1. 28 January, 21:39
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    -0.375 m/s2

    Explanation:

    To find the acceleration due to gravity in this planet, we can use the Torricelli formula of UALM (uniformly accelerated linear motion):

    V^2 = Vo^2 + 2*a*S

    Where V is the final velocity, Vo is the inicial velocity, a is the acceleration and S is the total displacement.

    With V = 3, Vo = 0 and S = - 12, we have:

    3^2 = 0^2 - 2*a*12

    24a = - 9

    a = - 9/24 = - 0.375 m/s2
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