the ball is 150g heavy and it is dropped from 300m, what is the velocity of the ball just before it touches the ground

Question

the ball is 150g heavy and it is dropped from 300m, what is the velocity of the ball just before it touches the ground

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1 week 2021-11-19T08:56:15+00:00 1 Answer 0 views 0

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  1. Charlotte
    0
    2021-11-19T08:57:32+00:00

    Answer:

    77.5 m/s

    Step-by-step explanation:

    Once the ball is dropped from the height, it converts all its potential energy into kinetic energy:

    P. E = K.E\\mgh = \frac{1}{2}mv^2

    Using this equation, and the data we have to find the velocity of the ball:

    mass = 150 \ g \\gravity = 10 \ m/s^2\\height = 300 m

    P.E = mgh\\150 \times 10 \times 300 = \frac{1}{2} \times 150 \times v^2\\\\150 \times 10 \times 300 = 75 \times v^2\\\\v^ 2 = \frac{150 \times 10 \times 300 }{75}\\\\v^2 = 6000\\\\v = \sqrt {6000}\\\\v = 77. 5 \ ms^{-1}

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