Questions: TRUE or FALSE: Momentum is a vector quantity.
Transcript text: TRUE or FALSE:
Momentum is a vector quantity.
Solution
Solution Steps
Step 1: Understanding Momentum
Momentum is defined as the product of an object's mass and its velocity. Mathematically, it is expressed as:
\[ \mathbf{p} = m \mathbf{v} \]
where \( \mathbf{p} \) is the momentum vector, \( m \) is the mass (a scalar quantity), and \( \mathbf{v} \) is the velocity vector.
Step 2: Analyzing the Vector Nature
Since velocity is a vector quantity (having both magnitude and direction), and mass is a scalar, the product of a scalar and a vector is a vector. Therefore, momentum inherits the directional properties of velocity, making it a vector quantity.