Final answer:
Among the listed objects, the one with the most kinetic energy is Option C, the 800g object moving at 20 meters per second.
Step-by-step explanation:
The kinetic energy (KE) of an object is given by the formula KE = ½mv², where m is the mass of the object and v is its velocity. Given two objects with the same velocity, the object with the greater mass will have more kinetic energy. Additionally, for a single object, as the velocity increases, its kinetic energy will increase exponentially due to the velocity being squared in the equation.
Between a 500g object with speed 10 meters per second (Option A) and an 800g object with speed 10 meters per second (Option B), the 800g object (Option B) has more kinetic energy because of its greater mass. Comparing an 800g object at 10 meters per second (Option B) with the same object at 20 meters per second (Option C), the object has more kinetic energy at 20 meters per second (Option C) due to the higher velocity. Lastly, comparing Option C (800g at 20m/s) to a 500g object at 20 meters per second (Option D), despite the same velocity, the larger mass of Option C results in higher kinetic energy.
Therefore, the object with the most kinetic energy among the ones listed is Option C, the 800g object with a speed of 20 meters per second.