Final answer:
The question requires the use of physics formulas to find the mass and velocity of an object using its momentum and kinetic energy, illustrating principles of conservation of momentum and changes in kinetic energy due to collisions.
Step-by-step explanation:
The question relates to the calculation and understanding of an object’s momentum and kinetic energy. Given that the object has a momentum of 28.1 kg · m/s and a kinetic energy of 323 J, we can use the formulas for momentum (p = mv) and kinetic energy (KE = 0.5 × m × v2) to find the mass and velocity of the object. To find the mass (m), we use the relationship between kinetic energy and momentum: KE = p2 / (2m), which allows us to solve for the mass. Once the mass is found, we can divide the momentum by mass to get the velocity (v).
The concepts of conservation of momentum and kinetic energy changes are exemplified in the provided example where the kinetic energy before and after a collision is compared, showing a difference of -161 J. This is important in understanding inelastic and elastic collisions in physics.