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Yakvenalex [24]
4 years ago
13

How do electrons differ from protons and neutrons? A. They do not move. B. They are larger. C. They are not in a fixed position.

D. They are located in the nucleus.
Physics
1 answer:
Debora [2.8K]4 years ago
5 0

the answer i would go with is C



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A proton with mass 1.67×10⁻²⁷kg is propelled at an initial speed of 3.00×10⁵m/s directly toward a uranium nucleus 5.00 m away. T
aleksandr82 [10.1K]

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2.4\times 10^5 m/s

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We are given that

Mass of proton=m_p=1.67\times 10^{-27}kg

Initial speed of proton=v_i=3.00\times 10^5 m/s

x_i=-5m

\alpha=2.12\times 10^{-26}Nm^2

F=-\frac{\alpha}{x^2}

Where x is the separation between the two objects.

We have to find the speed of the proton when it is 8.00\times 10^{-10} m from the uranium nucleus.

It means we have to find v_f \;if x_f=-8.00\times 10^{-10} m

By work energy theorem

W=\Delta K.E=\int_{x_i}^{x_f} Fdx

Substitute the values

W=\Delta K.E=\int_{x_i}^{x_f} -\frac{\alpha}{x^2}dx

W=-\int_{-5}^{-8\times 10^{-10}} \alpha x^{-2}dx

W=\alpha[x^{-1}]^{-8\times 10^{-10}}_{-5}

W=2.12\times 10^{-26}\times(-\frac{1}{8\times 10^{-10}}+\frac{1}{5})

W=-2.65\times 10^{-17}J

\frac{1}{2}m(v^2_f-v^2_i)=-2.65\times 10^{-17}

\frac{1}{2}\cdot 1.67\times 10^{-27}}(v^2_f-(3\times 10^5)^2)=-2.65\times 10^{-17}

v^2_f-9\times 10^{10}=\frac{2\cdot (-2.65)\times 10^{-17}}{1.67\times 10^{-27}}

V^2_f-9\times 10^{10}=-3.17\times 10^{10}

v^2_f=-3.17\times 10^{10}+9\times 10^{10}

v^2_f=5.83\times 10^{10}

v_f=\sqrt{5.83\times 10^{10}}=2.4\times 10^5 m/s

Hence, the speed of proton when it is 8\times 10^{-10} m from the uranium nucleus=v_f=2.4\times 10^5 m/s

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