Final answer:
To calculate the wavelength of the baseball, we use the de Broglie wavelength formula with the given mass of 0.155 kg and velocity of 32.5 m/s, resulting in a wavelength of approximately 1.306 x 10⁻³⁴ meters.
Step-by-step explanation:
The question asks to calculate the wavelength of a baseball with a specific mass and velocity. To find the wavelength (λ) of any particle in motion, including a baseball, we use the de Broglie wavelength formula λ = h / (mv), where 'h' is Planck's constant, 'm' is the mass of the particle, and 'v' is its velocity.
First, convert the mass of the baseball from grams to kilograms: m = 155g = 155 × 10⁻³ kg = 0.155 kg. Then, use the given velocity and Planck's constant to calculate the wavelength.
λ = h / (mv)
λ = 6.626 × 10⁻³⁴ kg·m2/s / (0.155 kg × 32.5 m/s)
λ = 1.306 × 10⁻³⁴ m.
Thus, the wavelength of the baseball is approximately 1.306 × 10⁻³⁴ meters.
Complete question:
Calculate the wavelength of a baseball (m = 155g) moving at 32.5m/s (h = 6.626 x 10⁻³⁴ kg.m).