Elizabeth, with a mass of 56.1kg stands on a scale in an elevator. Total mass of elevator plus Elizabeth=850kg. As the elevator starts movin

Question

Elizabeth, with a mass of 56.1kg stands on a scale in an elevator. Total mass of elevator plus Elizabeth=850kg. As the elevator starts moving, the scale reads 450N. Find the acceleration and tension in the cable.

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Thu Thủy 4 years 2021-08-22T10:29:03+00:00 1 Answers 14 views 0

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  1. MichaelMet
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    2021-08-22T10:30:49+00:00
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    Answer:

    acceleration = 1.79 m/s^2

    Tension = 6817 N

    Explanation:

    First let’s find Elizabeth’s weight:

    P = m*g = 56.1 * 9.81 = 550.34\ N

    Her weight is greater than the normal force (N = 450 N), so the elevator is going downwards.

    The acceleration of Elizabeth is given by:

    P - N = m*a

    Where P is the weight of Elisabeth, N is her normal force, m is her mass and a is the acceleration. Then, we have that:

    56.1*9.81 - 450 = 56.1*a

    a = 100.34 / 56.1 = 1.79\ m/s^2

    The tension in the cable is given by:

    P - T = m*a

    In this case, we use the total mass, so we have:

    850*9.81 - T = 850*1.79

    T = 850 * 8.02 = 6817\ N

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