High School

Which has a greater momentum?

A. A proton ([tex]m_p = 1.67 \times 10^{-27} \, \text{kg}[/tex]) traveling at the speed of light ([tex]3 \times 10^8 \, \text{m/s}[/tex]).

B. The Earth ([tex]m_e = 1.002 \times 10^{20} \, \text{kg}[/tex]) orbiting the sun at [tex]29000 \, \text{m/s}[/tex].

Answer :

Final answer:

The Earth has a much greater momentum than the proton.

Explanation:

In order to determine which has greater momentum, we can use the equation p = mv, where p is momentum, m is mass, and v is velocity.

For the proton, p = (1.67 x 10-27 kg)(3 x 108 m/s) = 5.01 x 10-19 kg·m/s.

For the Earth, p = (1.002 x 1020 kg)(2.9 x 104 m/s) = 2.906 x 1024 kg·m/s.

Therefore, the Earth has a much greater momentum than the proton.

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