Final answer:
Using the de Broglie wavelength formula and values given, the maximum mass can be calculated, applying principles of wave-particle duality relevant at the quantum level.
Step-by-step explanation:
The maximum mass of an object traveling at a velocity of 801 m/s with a minimum measurable wavelength of 0.570 fm (femtometers) can be found using the de Broglie wavelength formula, λ = h / (mv), where λ is the wavelength, h is the Planck constant (6.626 x 10^-34 m^2 kg/s), m is the mass, and v is the velocity of the object. By solving for the mass (m), you get m = h / (λv).
Plugging in the known values, m = (6.626 x 10^-34 m^2 kg/s) / (0.570 x 10^-15 m × 801 m/s), you can calculate the maximum mass of the object. It is important to note that this calculation applies to objects for which wave-particle duality is relevant, typically at the quantum level, and may not be practically observable for larger objects that do not exhibit this duality.
The maximum mass of an object traveling at a given velocity can be determined using the de Broglie formula. The de Broglie formula relates the wavelength of a particle to its mass and velocity. The formula is:
λ = h / (m * v)
where λ is the wavelength, h is Planck's constant (6.626 x 10-34 Js), m is the mass of the object, and v is the velocity of the object.
In this case, the smallest measurable wavelength is given as 0.570 fm (femtometers) and the velocity is given as 801 m/s. To find the maximum mass, we rearrange the formula:
m = h / (λ * v)
Plugging in the values, we get:
m = (6.626 x 10-34 Js) / ((0.570 x 10-15 m) * (801 m/s))
Solving this equation will give us the maximum mass of the object.