What would be the velocity in m/s of a cat if it weighs 9334 g and its de Broglie wavelength is 1.687e-33 m?
the answer is .04209 m/s
but i keep getting it wrong, the equation is Velocity= (wavelength*mass)/h
and planck's constant = 6.625x10^-34 m^2 * kg / s
the answer is .04209 m/s
but i keep getting it wrong, the equation is Velocity= (wavelength*mass)/h
and planck's constant = 6.625x10^-34 m^2 * kg / s
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In inspecting the problem and the units in Plank's constant, I see one potential problem - Plank's constant has units m^2*kg/s but the cat's mass was in grams. Convert the mass to kilograms - 9334 g = 9.334 kg.
A second problem was the de Broglie formula was incorrectly written:
wavelength = Plank's constant / momentum (m * v) solving for v
v = h / wavelength * mass
= (6.625 x 10^-34 m^2*kg/s) / (1.687 x 10^-33 m) * 9.334 kg
= 0.0420729
= 0.04207 m/s (4 significant digits allowed)
see the following for formula: http://en.wikipedia.org/wiki/Matter_wave
A second problem was the de Broglie formula was incorrectly written:
wavelength = Plank's constant / momentum (m * v) solving for v
v = h / wavelength * mass
= (6.625 x 10^-34 m^2*kg/s) / (1.687 x 10^-33 m) * 9.334 kg
= 0.0420729
= 0.04207 m/s (4 significant digits allowed)
see the following for formula: http://en.wikipedia.org/wiki/Matter_wave
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wavelength = h / m v
v = h / (m x wavelength)
v = 6.625 x 10^-34 m^2 kg s^-1 / (9.334 kg x 1.687 x 10^-33 m) = 0.04207 m/s
v = h / (m x wavelength)
v = 6.625 x 10^-34 m^2 kg s^-1 / (9.334 kg x 1.687 x 10^-33 m) = 0.04207 m/s