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8 September, 02:10

A ballerina weighs 103 lbs and is up on her toes with only 10.0 cm2 of her slippers in contact with the floor. What pressure is she exerting on the floor?

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Answers (2)
  1. 8 September, 02:43
    0
    Options for the question;

    A. 4.59 * 105 Pa

    B. 4.59 * 103 Pa

    C. 4.59 * 101 Pa

    D. 4.59 * 10ˉ1 Pa

    E. 4.59 * 10ˉ3 Pa

    Answer:

    Pressure = 458000 = 4.58 x 10^5 Pa; Option A

    Explanation:

    Bringing out the parameters in the question;

    Weight = 103 lbs = 46.72 kg (Upon conversion by diving by 2.205)

    Area occupied = 10.0 cm2 = 0.001m2 (Upon conversion by dividing by 10000)

    Pressure = ?

    The relationship between pressure and Area is given as;

    Pressure (in pascals) = Force (N) / Area (m2)

    Force = Mass * Gravity = 46.72 * 9.8 = 458 N

    Pressure = 458 / 0.001 = 458000 = 4.58 x 10^5 Pa
  2. 8 September, 03:13
    0
    A

    Explanation:

    1 lb =.453 kg ... so ... 103 x. 453 = 46.72 kg

    you then multiply that by the force of gravity which is 9.8 (m/s2) ... so ...

    46.72 x 9.8 = 458 newtons (kg x m/s^2), which is the force.

    pressure (in pascals) = Force (N) / Area (m2)

    we need to convert 10cm2 to m2 which =.001m^2

    458 /.001 = 458000 = 4.58 x 10^5 Pa
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