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attashe74 [19]
3 years ago
12

Two students have the same velocity during a race. Colin has a mass of 80 kg while Kara has a mass of 80 kg. If Kara doubled her

speed how does her new momentum compare to Colin’s?

Physics
1 answer:
dexar [7]3 years ago
3 0
Kara has twice the momentum as Colin

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Answer:

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Explanation:

<u></u>

<u>1. Formulae:</u>

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Where:

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<u><em>2. Reasoning</em></u>

An alha particle contains 2 neutrons and 2 protons, thus its mass number is 4.

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Thus, the relative masses of an alpha particle and a proton are:

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For the kinetic energies you find:

          \dfrac{E_\alpha}{E_p}=\dfrac{m_\alpha \times v_\alpha^2}{m_p\times v_p^2}

            \dfrac{1eV}{4eV}=\dfrac{4\times v_\alpha^2}{1\times v_p^2}\\\\\\\dfrac{v_p^2}{v_\alpha^2}=16\\\\\\\dfrac{v_p}{v_\alpha}=4

Thus:

           \dfrac{m_\alpha}{m_p}=4=\dfrac{v_p}{v__\alpha}

          m_\alpha v_\alpha=m_pv_p

From de-Broglie equation, λ = h/(mv)  

       \dfrac{\lambda_p}{\lambda_\alpha}=\dfrac{m_\lambda v_\lambda}{m_pv_p}=\dfrac{1}{1}=1:1

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