Final answer:
The topic addresses the calculation of change in kinetic energy, using the formula ΔKE = ½m(v_f² - v_i²), and also touches on the relationship between kinetic and potential energy where 2gh = v² in energy conservation scenarios.
Step-by-step explanation:
The concept in question pertains to the calculation of change in kinetic energy (ΔKE). The correct formula to calculate the kinetic energy (KE) of an object is KE = ½mv², where m represents the mass of the object and v is its velocity. To calculate the change in kinetic energy (ΔKE), we can use the formula ΔKE = ½m(v_f² - v_i²), where v_f is the final velocity and v_i is the initial velocity of the object.
When it comes to converting kinetic energy (KE) to potential energy (PE), both of which are proportional to the mass of an object, we use the concept that in a situation where KE = PE, we have mgh = ½mv². By dividing both sides by m and rearranging, we find the relationship 2gh = v² which helps determine the velocity (v) of an object given a certain height (h) assuming energy conservation.