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30 January, 08:21

The mass of a golf ball is 45.9

g. if it leaves the tee with a speed of 72.0 m/s, what is its corresponding wavelength?

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  1. 30 January, 10:36
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    The equation for the de Broglie wavelength is:

    λ = (h/mv) √[1 - (v²/c²) ],

    where h is Plank's Constant, m is the rest mass, v is velocity, and c is the velocity of light in vacuum. However, if c>>v (and it is, in this case) then the expression under the radical sign approaches 1, and the equation simplifies to:

    λ = h/mv.

    Substituting, (remember to convert the mass to kg, since 1 J = 1 kg·m²/s²):

    λ = (6.63x10^-34 J·s) / (0.0459 kg) (72.0 m/s) = 2.00x10^-34 m.
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