Question

video: https://youtu.be/ko4q5be9uck?si=nhnceqlpxcpmnpri video observations and reflection two identical cars (mass = 1,000kg) crash into each other! car 1 is traveling to the right and car 2 is traveling to the left. both cars are traveling at 50 m/s when they collide with each other. determine the momentum of each car p = mv car 1 car 2

Explanation:

Step1: Recall the momentum formula

The formula for momentum is \( p = mv \), where \( m \) is mass and \( v \) is velocity.

Step2: Calculate momentum for Car 1

Car 1 has a mass \( m = 1000 \, \text{kg} \) and velocity \( v = 50 \, \text{m/s} \) (to the right). Substitute into the formula:
\( p_1 = 1000 \, \text{kg} \times 50 \, \text{m/s} = 50000 \, \text{kg·m/s} \) (direction: right).

Step3: Calculate momentum for Car 2

Car 2 has the same mass \( m = 1000 \, \text{kg} \) but velocity \( v = -50 \, \text{m/s} \) (to the left, so negative sign for direction). Substitute:
\( p_2 = 1000 \, \text{kg} \times (-50) \, \text{m/s} = -50000 \, \text{kg·m/s} \) (direction: left; magnitude \( 50000 \, \text{kg·m/s} \)).

Answer:

• Car 1 momentum: \( \boldsymbol{50000 \, \text{kg·m/s}} \) (to the right)
• Car 2 momentum: \( \boldsymbol{-50000 \, \text{kg·m/s}} \) (or \( 50000 \, \text{kg·m/s} \) to the left)