To find the total momentum after the collision, we first need to sum the momenta of the three objects.
Given momenta:
- Object 1: \( 110 , \text{kg⋅m/s} \)
- Object 2: \( -65 , \text{kg⋅m/s} \)
- Object 3: \( -100 , \text{kg⋅m/s} \)
Now, we can calculate the total momentum:
\[ \text{Total momentum} = 110 , \text{kg⋅m/s} + (-65 , \text{kg⋅m/s}) + (-100 , \text{kg⋅m/s}) \]
Calculating it step-by-step:
- Calculate \( 110 - 65 = 45 , \text{kg⋅m/s} \)
- Now, calculate \( 45 - 100 = -55 , \text{kg⋅m/s} \)
Thus, the total momentum after the collision is
\[ \text{Total momentum} = -55 , \text{kg⋅m/s} \]
Therefore, the correct response is:
−55 kg⋅m/s (negative 55 kilograms times meters per second).