What is the mass of a ball with a velocity of 35.1 m/s and a wavelength of 8.92 x 10^-34 m
To calculate the mass of a ball with a given velocity and wavelength, we need to use the formula for the de Broglie wavelength. The de Broglie wavelength is given by the equation:
λ = h / (m * v)
where:
λ is the wavelength,
h is the Planck's constant (approximately 6.626 x 10^-34 J·s),
m is the mass of the ball, and
v is the velocity of the ball.
In this case, we are given the velocity (v = 35.1 m/s) and the wavelength (λ = 8.92 x 10^-34 m). We can rearrange the equation to solve for the mass (m):
m = h / (λ * v)
Substituting the given values:
m = (6.626 x 10^-34 J·s) / ((8.92 x 10^-34 m) * (35.1 m/s))
Simplifying the expression:
m ≈ 5.96 x 10^-34 kg
Therefore, the mass of the ball is approximately 5.96 x 10^-34 kg.