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A proton has an initial speed of 4.0 × 105 m/s. (a) What

Chapter 20, Problem 22P

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QUESTION:

A proton has an initial speed of \(4.0\times10^5\mathrm{\ m}/\mathrm{s}\) . (a) What potential difference is required to bring the proton to rest? (b) What potential difference is required to reduce the initial speed of the proton by a factor of 2? (c) What potential difference is required to reduce the initial kinetic energy of the proton by a factor of 2?

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QUESTION:

A proton has an initial speed of \(4.0\times10^5\mathrm{\ m}/\mathrm{s}\) . (a) What potential difference is required to bring the proton to rest? (b) What potential difference is required to reduce the initial speed of the proton by a factor of 2? (c) What potential difference is required to reduce the initial kinetic energy of the proton by a factor of 2?

ANSWER:

Step 1 of 4

The initial speed of the proton is,

\(v_i=4\times10^5\mathrm{\ m}/\mathrm{s}\)

The mass of the proton is,

\(m_p=1.67\times10^{-27}\mathrm{\ kg}\).

The charge of the proton is,

\(q=1.6 \times 10^{-19} \ C\).

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