The mass of a golf ball is 45.9g . If it leaves the tee with a speed of 67.0m/s , what is its corresponding?
Posted on February 15th, 2010 by admin
wavelength.
Just as light waves have particle behavior, a moving particle has a wave nature. The faster the particle is moving, the higher its kinetic energy and the shorter its wavelength. The wavelength, of a particle of mass , and moving at velocity , is given by the de Broglie relation
where is Planck’s constant.
This formula applies to all objects, regardless of size, but the de Broglie wavelength of macro objects is miniscule compared to their size, so we cannot observe their wave properties. In contrast, the wave properties of subatomic particles can be seen in such experiments as diffraction of electrons by a metal crystal.
they want it in meters
w = h / p
Wavelength = w
h = Planck’s constant = 6.626e-34J*s
p = momentum = m * v
m = mass = 45.9g (1kg / 1000g) = .0459 kg
v = velocity = 67m/s
p = m * v = .0459 kg * 67m/s = 3.0753 N *s
w = h / p = (6.626e-34J*s) / 3.0753 N *s = 2.15e-34 m
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