Final answer:
The wavelength of a baseball traveling at a speed of 46.58 m/s can be calculated using the formula λ = h/mv, where λ is the wavelength, h is the Planck's constant, m is the mass of the baseball, and v is the velocity of the baseball.
Step-by-step explanation:
The wavelength of a baseball traveling at a speed of 46.58 m/s can be calculated using the formula λ = h/mv, where λ is the wavelength, h is the Planck's constant, m is the mass of the baseball, and v is the velocity of the baseball.
Given:
- m = 0.145 kg
- v = 46.58 m/s
Substituting these values into the formula:
λ = h/(0.145 kg * 46.58 m/s)
To find the wavelength, we need the value of Planck's constant, which is approximately 6.63 × 10^-34 J·s.
Using this value, we can calculate the wavelength:
λ = (6.63 × 10^-34 J·s)/(0.145 kg * 46.58 m/s)
Calculating this expression gives us the wavelength of the baseball.