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) Responses 1.80 kg·m/s 1.80 kg · m/s 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
To solve this problem, we need to calculate the momentum of each object before the collision and then add them together to find the total momentum after the collision.
The formula for momentum is mass times velocity (p = mv).
For each object:
Mass = 1.00 kg
Velocity = 1.80 m/s
So, the momentum of each object before the collision is:
Momentum = Mass × Velocity
= 1.00 kg × 1.80 m/s
= 1.80 kg·m/s
Since the objects are moving directly toward each other, their momentum vectors have opposite directions. When they collide, their momenta add up, but the objects come to rest. Therefore, the direction of the total momentum after the collision is opposite to the initial direction of the objects.
The total momentum is the sum of their individual momenta:
Total Momentum = 1.80 kg·m/s + (-1.80 kg·m/s)
= 0.00 kg·m/s
Thus, the total momentum after the collision is 0.00 kg·m/s.