car b of mass 1200 kg is stationary car A of mass 2000 kg is travelling towards car B at 18 m/s. calculate the momentum of car A

1. Break Down the Problem

To find the momentum of car A, we will use the formula for momentum: $\text{Momentum} (p) = \text{Mass} (m) \times \text{Velocity} (v)$ In this case:

• Mass of car A, $m_A = 2000 \, \text{kg}$
• Velocity of car A, $v_A = 18 \, \text{m/s}$

2. Relevant Concepts

We will apply the momentum formula. Since car B is stationary, its momentum does not need to be considered for calculating the momentum of car A.

3. Analysis and Detail

Now we apply the values into the momentum formula for car A: $p_A = m_A \times v_A$

Now substituting the known values: $p_A = 2000 \, \text{kg} \times 18 \, \text{m/s}$

4. Verify and Summarize

Now let's carry out the multiplication: $p_A = 2000 \times 18 = 36000 \, \text{kg m/s}$

Final Answer

The momentum of car A is $36000 \, \text{kg m/s}$.