Certainly! Let's determine the SI unit for momentum step-by-step.
### Understanding Momentum
Momentum is a physical quantity that describes the quantity of motion an object has. It is a vector quantity, which means it has both magnitude and direction.
### Formula for Momentum
The formula for momentum ([tex]\( p \)[/tex]) is defined as:
[tex]\[ p = m \cdot v \][/tex]
where:
- [tex]\( p \)[/tex] is the momentum
- [tex]\( m \)[/tex] is the mass of the object
- [tex]\( v \)[/tex] is the velocity of the object
### SI Units for Mass and Velocity
- The SI unit for mass ([tex]\( m \)[/tex]) is kilograms ([tex]\( kg \)[/tex]).
- The SI unit for velocity ([tex]\( v \)[/tex]) is meters per second ([tex]\( m/s \)[/tex]).
### SI Unit for Momentum
To find the SI unit for momentum, we substitute the SI units of mass and velocity into the formula for momentum:
[tex]\[ p = m \cdot v \][/tex]
[tex]\[ p = kg \cdot \left( \frac{m}{s} \right) \][/tex]
So, the SI unit for momentum is:
[tex]\[ kg \cdot \frac{m}{s} \][/tex]
### Available Options
Now, let's match this derived unit with the given options:
1. [tex]\( kg \cdot m \)[/tex]
2. [tex]\( kg \cdot \frac{m}{s} \)[/tex]
3. [tex]\( kg \cdot \frac{m^2}{s} \)[/tex]
4. [tex]\( kg \cdot \frac{m}{s^2} \)[/tex]
Among the options, the correct SI unit for momentum is:
[tex]\[ kg \cdot \frac{m}{s} \][/tex]
Therefore, the correct option is [tex]\( \boxed{2} \)[/tex].
