Two objects in a closed system collide while moving directly toward each other. Each has a mass of 1.00 kg and is moving at 1.80 m/s. What is the total momentum after the collision?(1 point)

Question

Responses

0.00 kg·m/s
0.00 kg·m/s

3.60 kg·m/s
3.60 kg·m/s

0.90 kg·m/s
0.90 kg·m/s

1.80 kg·m/s
1.80 kg · m/s

Answer 1

To find the total momentum after the collision, we first need to calculate the momentum of each object before the collision.

1. Calculate the momentum of each object before the collision:

   • Momentum (p) is given by the formula: \( p = m \times v \)
   • For the first object (moving in one direction, say to the right):
     • \( p_1 = 1.00 , \text{kg} \times 1.80 , \text{m/s} = 1.80 , \text{kg·m/s} \)
   • For the second object (moving in the opposite direction, so we take its velocity as negative):
     • \( p_2 = 1.00 , \text{kg} \times (-1.80 , \text{m/s}) = -1.80 , \text{kg·m/s} \)

2. Calculate the total momentum before the collision:

   • Total momentum \( p_{\text{total}} = p_1 + p_2 \)
   • \( p_{\text{total}} = 1.80 , \text{kg·m/s} + (-1.80 , \text{kg·m/s}) = 0.00 , \text{kg·m/s} \)

Since momentum is conserved in a closed system, the total momentum after the collision will also be the same:

Total momentum after the collision: \( 0.00 , \text{kg·m/s} \)

Therefore, the correct response is:

0.00 kg·m/s