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20 June, 00:55

A 0.49-kg cord is stretched between two supports, 7.3m apart. When one support is struck by a hammer, a transverse wave travels down the cord and reaches the other support in 0.83s.

What is the tension in the cord? (Express your answer to two significant figures and include the appropriate units.)

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  1. 20 June, 04:15
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    T = 5.18N

    Explanation:

    u = mass of chord / length of chord

    u = 0.49 / 7.3

    u = 0.067 kg/m

    Velocity of sound waves (v) = length of chord / time taken for wave to travel

    v = 7.3 / 0.83 = 8.795m/s

    Tension is calculated below using the formula

    T = v² * u

    T = (8.795) ² x 0.067

    T = 5.18N
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