Question

Calculate the wavelength of A 75 kg athlete running a 7.0-minute mile

Answer 1

`\lambda =2.31x10^(-36)m`

Step-by-step explanation:

Hello,

In this case, since the Broglie's wavelength for bodies is defined via:

`\lambda =(h)/(mv)`

Whereas h accounts for the Planck's constant, m the mass and v the velocity, which is:

`v=(1mile)/(7.0min)*(1609.34m)/(1mile)*(1min)/(60s)=3.83(m)/(s)`

Thus, the wavelength turns out:

`\lambda =(6.63x10^(-34)kg(m^2)/(s) )/(75kg*3.83(m)/(s) ) \\\\\lambda =2.31x10^(-36)m`

Best regards.