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11 February, 03:55

Determine the mass of a ball with a velocity of 40.0 m/s and a wavelength of 8.92 Ã 10-34 m.

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  1. 11 February, 07:22
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    The wavelength is equal to Planck's constant divided by the ball's momentum.

    This means that:

    lambda = h / p ... > equation I

    Momentum = mass * velocity ... > equation II

    Substitute by equation II in equation I, you get:

    lambda = h / mv

    Now, we are given:

    lambda = 8.92 * 10^-34 m

    Planck's constant = 6.625 * 10^-34

    velocity = 40 m/sec

    Substitute with these givens in the above equation to calculate the mass as follows:

    8.92*10^-34 = (6.625*10^-34) / (40*m)

    mass = 0.0185678 kg
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