To find the total momentum after the collision, we first need to calculate the total momentum before the collision.
Momentum (p) is calculated using the formula: \[ p = m \cdot v \]
Where:
- \( m \) is the mass
- \( v \) is the velocity
Since the two objects are moving directly toward each other, we will consider the direction. We can assign one direction as positive and the other as negative.
Let's consider:
- Object A (mass = 1.00 kg, velocity = +1.80 m/s)
- Object B (mass = 1.00 kg, velocity = -1.80 m/s)
The total initial momentum (p_initial) can be calculated as follows: \[ p_{initial} = p_A + p_B \] \[ p_{initial} = (1.00, \text{kg} \cdot 1.80, \text{m/s}) + (1.00, \text{kg} \cdot -1.80, \text{m/s}) \] \[ p_{initial} = 1.80, \text{kg} \cdot \text{m/s} - 1.80, \text{kg} \cdot \text{m/s} \] \[ p_{initial} = 0.00, \text{kg} \cdot \text{m/s} \]
Since momentum is conserved in a closed system, the total momentum after the collision will be the same as before the collision.
Thus, the total momentum after the collision is: \[ p_{final} = p_{initial} = 0.00, \text{kg} \cdot \text{m/s} \]
The answer is: 0.00 kg·m/s
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