Physics: Imagine two 2.0 g bags of protons, one at the earth s north pole and the other at the south pole. part a how many protons are in each bag?

Imagine two 2.0 g bags of protons, one at the earth

Ответ:

Avibx8x8

12.03.2022

Physics

$1.19\times10^{24}$

Mass of each proton $= 1.67\times10^-27 \hspace{1mm} kg$

Mass of protons in each bag = 2.0 g

Number of protons in each bag

$= \frac{Mass\hspace{1mm} of \hspace{1mm} protons \hspace{1mm} in \hspace{1mm} each \hspace{1mm} bag}{Mass \hspace{1mm} of \hspace{1mm} each \hspace{1mm} proton}\\ =\frac{2\times10^-3kg}{1.67\times10^{-27}kg}=1.19\times10^{24}$

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Ответ:

rbajaj9818

24.03.2023

Physics

b. $3.313\times 10^{-16}\ m/s$

Explanation:

h = Planck's constant = $6.626\times 10^{-34}\ m^2kg/s$

m = Mass of bacterium = $10^{-14}\ kg$

L = Gap = 0.1 mm

Energy of a particle moving in a one dimensional box is given by

$E=\dfrac{n^2h^2}{8mL^2}\\\Rightarrow E=\dfrac{1^2\times (6.626\times 10^{-34})^2}{8\times 10^{-14}\times (0.1\times 10^{-3})^2}\\\Rightarrow E=5.48798\times 10^{-46}\ J$

Kinetic energy is given by

$K=\dfrac{1}{2}mv^2\\\Rightarrow E=\dfrac{1}{2}mv^2\\\Rightarrow v=\sqrt{\dfrac{2E}{m}}\\\Rightarrow v=\sqrt{\dfrac{2\times 5.48798\times 10^{-46}}{10^{-14}}}\\\Rightarrow v=3.313\times 10^{-16}\ m/s$

The minumum speed is $3.313\times 10^{-16}\ m/s$

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Imagine two 2.0 g bags of protons, one at the earth's north pole and the other at the south pole. part a how many protons are in each bag?

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