Final answer:
Statements b, c, d, and e about power are true, stating that power is the rate of work done or energy transformation, with the SI unit as the watt. Statement a is false; horsepower is not the SI unit of power.
Step-by-step explanation:
Of the statements provided regarding power:
b. Power is the rate at which work is done. This is true. Power in physics is defined as the rate at which work is done or energy is transferred. It is measured in the SI unit of watts (W), where 1 W equals 1 joule per second (J/s).
c. Power is the rate at which energy is transformed. This statement is also true. Power can describe how quickly energy is transformed from one form to another.
d. A person is limited in the total work he or she can do by their power output. This is true. The concept of power applies to humans too; our power output limits how much work we can perform over a certain period.
e. The SI unit of power is the watt. This statement is correct. The watt (W) is the standard unit of power in the International System of Units (SI).
a. The SI unit of power is the horsepower. This is false. Horsepower is another unit of power commonly used, particularly in rating the power of engines and motors, where 1 horsepower is equivalent to 746 watts.
The work-energy theorem relates to how work is transformed into other forms of energy, further reinforcing the connection between work, power, and energy conversions.