To determine the unit derived from [tex]\(\frac{1 \text{ joule}}{\text{sec}}\)[/tex], let's break down the definitions and relationships between the given units:
1. Joule:
- A joule (J) is a unit of energy in the International System of Units (SI). It is defined as the amount of work done when a force of one newton displaces an object by one meter.
2. Sec (Second):
- A second is a basic unit of time in the SI system.
Next, we need to understand what [tex]\(\frac{1 \text{ joule}}{\text{sec}}\)[/tex] represents:
- This fraction represents how much energy is being transferred or used per unit time. In other words, it defines a rate of energy transfer.
Now, let's identify the correct unit for this rate of energy transfer from the options given:
- Newton: This is a unit of force, not a unit of power or rate of energy transfer.
- Meter: This is a unit of distance, not relevant to our context of energy transfer over time.
- Watt: A watt (W) is indeed the unit of power in the SI system. Power is defined as the rate at which work is done or energy is transferred, equivalent to one joule per second.
- Horsepower: This is a unit of power, but it is not in the SI system and is more commonly used in mechanical contexts such as measuring the power output of engines.
Considering all this, the unit derived from [tex]\(\frac{1 \text{ joule}}{\text{sec}}\)[/tex] is:
[tex]\[ \boxed{\text{watt}} \][/tex]
