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Inessa05 [86]
3 years ago
13

What is the de broglie wavelength of a 149-g baseball traveling at 95.4 mph? (1 mile = 1.609 km, h = 6.63 × 10–34 j·s)?

Physics
1 answer:
boyakko [2]3 years ago
5 0

The solution for the problem is:

Wavelength = Planck’s constant/(mass*velocity) 

Planck’s constant= 6.63*10^-34 with units of J-s or kg-m^2/s^2-s 

mass = 149g = 0.149 kg 

velocity = 95.4.mi/1hr(1609.3m/1mi)(1hr/3600sec) = 42.65m/s 

h/mv = 6.63*10^-34 kg-m^2/s^2-s/(42.65m/s*0.149kg)

wavelength = 1.04 *10^-34 m

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Explanation:

The directions in which the delivery truck travels are;

1) 2.8 km North = 2.8·\hat j, in vector form

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Therefore, to find the final displacement, Δx, of the delivery truck, we add the individual displacements as follows;

Final displacement, Δd = 2.8·\hat j + 1.0·\hat i +(-1.6·\hat j) = 1.2·\hat j + 1.0·\hat i

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The magnitude of the resultant displacement vector ≈ 1.6 km

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