The relationship between momentum, mass and velocity is shown below. What is the momentum of an object if m = 12 kg and v = 30 m/s?

1. ### Break Down the Problem

We need to find the momentum (p) of an object given its mass (m) and velocity (v). The relationship is given by the formula: $p = m \times v$

2. ### Relevant Concepts

The formula for momentum is:

• Momentum (p): $p = m \cdot v$
  • where:
    • $m$ = mass of the object (in kg)
    • $v$ = velocity of the object (in m/s)

3. ### Analysis and Detail

Given the values:

• $m = 12 \, \text{kg}$
• $v = 30 \, \text{m/s}$

Now, substituting the values into the momentum formula: $p = 12 \, \text{kg} \times 30 \, \text{m/s}$

4. ### Verify and Summarize

Now, let's carry out the multiplication: $p = 12 \times 30 = 360 \, \text{kg} \cdot \text{m/s}$

Final Answer

The momentum of the object is $360 \, \text{kg} \cdot \text{m/s}$.