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) 9.11 * 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 can be found using the relation between kinetic energy (KE), momentum (p), and mass (m): KE = p²/(2m). Solving for m gives m = p²/(2KE). Substituting the given values, m = (1.7 x 10^-18 kg·m/s)² / (2 x 3.2 x 10^-10 J) = 2.7 x 10^-27 kg.

A Certain Particle Has a Kinetic Energy of 3