A 60 kg man jumps down from a 0.8 m table. What is the speed when he hits the ground? ( Take g= 10 m/s2)​

Question

A 60 kg man jumps down from a 0.8 m table. What is the speed when he

hits the ground? ( Take g= 10 m/s2)​

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Delwyn 2 weeks 2021-08-29T03:47:46+00:00 1 Answers 0 views 0

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    2021-08-29T03:49:31+00:00

    Answer: Speed = 4 m/s

    Explanation:

    The parameters given are

    Mass M = 60 kg

    Height h = 0.8 m

    Acceleration due to gravity g= 10 m/s2

    Before the man jumps, he will be experiencing potential energy at the top of the table.

    P.E = mgh

    Substitute all the parameters into the formula

    P.E = 60 × 9.8 × 0.8

    P.E = 470.4 J

    As he jumped from the table and hit the ground, the whole P.E will be converted to kinetic energy according to conservative of energy.

    When hitting the ground,

    K.E = P.E

    Where K.E = 1/2mv^2

    Substitute m and 470.4 into the formula

    470.4 = 1/2 × 60 × V^2

    V^2 = 470.4/30

    V^2 = 15.68

    V = square root (15.68)

    V = 3.959 m/s

    Therefore, the speed of the man when hitting the ground is approximately 4 m/s

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