Final answer:
The de Broglie wavelength of a baseball with a mass of 0.1488 kg and a speed of 41.4 m/s is calculated using the formula λ = h / (mv). It is approximately 1.077 × 10^-34 meters.
Step-by-step explanation:
The student is asking to calculate the de Broglie wavelength of a baseball which has mass 0.1488 kg and is moving at a speed of 41.4 m/s. The de Broglie wavelength (λ) is calculated using the equation λ = h / (mv), where 'h' is Planck's constant (6.62607015 × 10-34 m2 kg / s), 'm' is the mass of the object, and 'v' is the velocity of the object.
To find the de Broglie wavelength for the baseball, substitute h = 6.62607015 × 10-34 m2 kg / s, m = 0.1488 kg, and v = 41.4 m/s into the equation:
λ = 6.62607015 × 10-34 m2 kg / s / (0.1488 kg × 41.4 m/s)
λ = 1.07729501 × 10-34 m
Therefore, the de Broglie wavelength of the baseball is approximately 1.077 × 10-34 meters.