The point of this question is to compare rest energy and kinetic energy at high speeds An alpha particle (a helium nucleus) is moving at a speed of 0.9994 times the speed o (a) What is its rest energy? 5.75e-10 (b) Is it okay to calculate its kinetic energy using the formula mv2? No, because this formula isn't valid for speeds near the speed of light. O Yes, because y << c. O Yes, because the formula mv² for kinetic energy is always correct.

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Chapter5: Relativity
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Problem 70P: Alpha decay is nuclear decay in which a helium nucleus is emitted. If the helium nucleus has a mass...
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The point of this question is to compare rest energy and kinetic energy at high speeds.
An alpha particle (a helium nucleus) is moving at a speed of 0.9994 times the speed of light. Its mass is (6.40 x 10-27 kg).
(a) What is its rest energy? 5.75e-10
(b) Is it okay to calculate its kinetic energy using the formula mv2?
O No, because this formula isn't valid for speeds near the speed of light.
O Yes, because v << c.
O Yes, because the formula mv² for kinetic energy is always correct.
(c) What is its kinetic energy?
(d) Which is true?
O The kinetic energy is approximately equal to the rest energy.
O The kinetic energy is much bigger than the rest energy.
O The kinetic energy is much smaller than the rest energy.
Transcribed Image Text:The point of this question is to compare rest energy and kinetic energy at high speeds. An alpha particle (a helium nucleus) is moving at a speed of 0.9994 times the speed of light. Its mass is (6.40 x 10-27 kg). (a) What is its rest energy? 5.75e-10 (b) Is it okay to calculate its kinetic energy using the formula mv2? O No, because this formula isn't valid for speeds near the speed of light. O Yes, because v << c. O Yes, because the formula mv² for kinetic energy is always correct. (c) What is its kinetic energy? (d) Which is true? O The kinetic energy is approximately equal to the rest energy. O The kinetic energy is much bigger than the rest energy. O The kinetic energy is much smaller than the rest energy.
One mole of helium atoms has a mass of 4 grams. If a helium atom in a balloon has a kinetic energy of 1.666e-21 J, what is the speed of the helium atom? (The speed is much lower than the speed of light.)
V =
m/s
Additional Materials
O eBook
Transcribed Image Text:One mole of helium atoms has a mass of 4 grams. If a helium atom in a balloon has a kinetic energy of 1.666e-21 J, what is the speed of the helium atom? (The speed is much lower than the speed of light.) V = m/s Additional Materials O eBook
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