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13 April, 14:53

A string is 9.00 m long with a mass of 7.00 g. The string is held taut with a tension of 200.00 N applied to the string. A pulse is sent down the string. How long (in ms) does it take the pulse to travel the 9.00 m of the string?

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  1. 13 April, 17:03
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    It takes the pulse 25.1 ms to travel the 9.00 m of the string

    Explanation:

    Force (F) = Mass (m) * Acceleration. (a)

    F = ma ... equation 1

    Making a the subject of equation 1 above,

    a = F/m ... equation 2

    Where F = T = 200 N, m = 7.00 g = 0.007 kg,

    Substituting these values into equation 2,

    a = 200/0.007 = 28571.43 m/s².

    Using one of the equation of motion,

    S = ut + 1/2at² ... equation 2

    Where S = distance, u = initial velocity, t = time, a = acceleration.

    u = 0.

    Therefore, S = 1/2at² ... equation 3

    Making t the subject of equation 3,

    t = √ (2S/a) ... equation 4

    Where S = 9.00 m, a = 28571.43 m/s²

    Substituting this values into equation 4,

    t = √{ (2*9) / 28571.43}

    t = √ (18/28571.43

    t = √0.00063

    t = 0.0251 s

    t = 25. 1 ms

    Therefore it takes the pulse 25.1 ms to travel the 9.00 m of the string.
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