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15 December, 15:23

Determine the mass of a ball with a wavelength of 3.45 * 10-34 m and a velocity of 6.55 m/s

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  1. 15 December, 16:00
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    293 grams The formula for the wavelength of a massive particle is Î" = h/p where Î" = wavelength h = Plank constant (6.626070040Ă-10^â’34 J*s) p = momentum (mass times velocity) So let's solve for momentum and from there get the mass Î" = h/p Î"p = h p = h/Î" Substitute known values and solve p = 6.626070040Ă-10^â’34 J*s/3.45Ă-10^-34 m p = 1.92 J*s/m Since momentum is the product of mass and velocity, we have p = M * V p/V = M So substitute again, and solve. p/V = M 1.92 J*s/m / 6.55 m/s = M 1.92 kg*m/s / 6.55 m/s = M 1.92 kg*m/s / 6.55 m/s = M 0.293 kg = M So the mass is 293 grams
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