Answer:
4.7 x 10⁻²³
Explanation:
The strategy here is to use de Broglie relation to answer this question:
mv = h/λ
where m is the mass, h is Planck´s constant, and λ is the wavelength:
v = h/ mλ
h = 6.626 x 10⁻³⁴ J·s
m = 142 g = 0.142 kg ( we are working in the metric system )
λ = 100 pm = 100 pm x ( 1 x 10⁻¹² m/pm ) = 1 x 10⁻¹⁰ m
⇒ v = 6.626 x 10⁻³⁴ J·s / ( 0.142 kg x 1 x 10⁻¹⁰ m ) = 4.7 x 10⁻²³ m/s
This calculation shows why we do not talk about quantum effects at the macro level, notice the extreme low velocity that the baseball will have to have a wavelength equal to that of an x-ray photon.
