Object 1 has twice the mass of Object 2.Both objects have the same kinetic energy.Which of the following statements is true?
A)Both objects can have the same magnitude of momentum.
B)Object 1 has a momentum of greater magnitude than Object 2.
C)The magnitude of the momentum of Object 2 is four times that of Object 1.
D)All the statements are false.

Question

Quizplus · Accepted Answer

Since kinetic energy (KE) is given by $KE = \frac{1}{2}mv^2$ and momentum (p) is given by $p = mv$, for two objects with the same KE but different masses, the one with greater mass (Object 1) must have a lower velocity to maintain the same KE. However, because momentum is directly proportional to both mass and velocity, the greater mass of Object 1 compensates for its lower velocity, resulting in a greater momentum than Object 2.

Object 1 Has Twice the Mass of Object 2