determine the mass of a ball with a velocity of 35.1 m/s and a wavelength of 8.92 x 10^-34
To determine the mass of a ball given its velocity and wavelength, we can use the de Broglie wavelength equation. According to quantum mechanics, all particles can exhibit wave-like behavior, and the wavelength of a particle is inversely proportional to its momentum.
The de Broglie wavelength equation is given by:
λ = h / (mv)
Where λ is the wavelength, h is the Planck's constant (6.626 x 10^-34 J·s), m is the mass of the particle, and v is its velocity.
To find the mass of the ball, we need to rearrange the equation and solve for m:
m = h / (λv)
Substituting the given values into the equation:
m = (6.626 x 10^-34 J·s) / ((8.92 x 10^-34 m) * (35.1 m/s))
m = 2.231 x 10^-3 kg
Therefore, the mass of the ball is approximately 2.231 x 10^-3 kilograms.