A certain particle has a kinetic energy of 3.2 *10^-10 J and a momentum of 1.7 * 10^-18 kg. m/s.Its mass is: A)9.1 * 10^-31 kg B)2.7 * 10^-27 kg C)4.5 *10^-27 kg D)6.3 *10^-27 kg E)8.6*10^-27 kg

Question

Quizplus · Accepted Answer

The mass of the particle can be found using the relationship between kinetic energy (K), momentum (p), and mass (m), where $K = \frac{p^2}{2m}$. Rearranging this formula to solve for mass gives $m = \frac{p^2}{2K}$. Substituting the given values ($K = 3.2 \times 10^{-10} \, \text{J}$ and $p = 1.7 \times 10^{-18} \, \text{kg} \cdot \text{m/s}$) into this equation and solving for $m$ yields a mass of approximately $2.7 \times 10^{-27} \, \text{kg}$, which corresponds to choice B.

A Certain Particle Has a Kinetic Energy of 3