A ball of mass 0.3 kg is released from rest at a height of 8 m. How fast is it going when it hits the ground? (Gravity being equal to 9.8)

Question

A ball of mass 0.3 kg is released from rest at a height of 8 m. How fast is it going when it hits the ground? (Gravity being equal to 9.8)

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Kiệt Gia 4 years 2021-07-13T13:27:47+00:00 1 Answers 83 views 0

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  1. Sapo1
    0
    2021-07-13T13:28:59+00:00
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    Answer:

    Explanation:

    Mass doesn’t matter here because when something is falling, gravity plays fairly; an elephant falls at the same rate of acceleration as does a feather. What DOES matter is everything pertinent to the y-dimension of free-fall:

    a = -9.8 m/s/s

    v₀ = 0 (since the ball was held before it was dropped)

    v = ??

    Δx = -8 m (negative because the ball drops this far below the point from which it was released).

    Putting all this together in one equation:

    v² = v₀² + 2aΔx and filling in this equation:

    v² = (0)² + 2(-9.8)(-8) and

    v² = 156.8 so

    v = 12.5 which rounds to 13 if you’re using 2 sig figs, and rounds to 10 if you’re only using 1 (which you should be, according to the way the numbers have been given in this problem)

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