To find the total momentum of the system after the collision, we first need to calculate the total initial momentum by adding the momenta of the three objects:
- \( 110 , \text{kg⋅m/s} \)
- \( -65 , \text{kg⋅m/s} \)
- \( -100 , \text{kg⋅m/s} \)
Now, we can sum these values:
\[ \text{Total Momentum} = 110 + (-65) + (-100) \]
Calculating this step-by-step:
\[ = 110 - 65 - 100 \]
Calculating \( 110 - 65 \):
\[ = 45 \]
Now subtracting \( 100 \):
\[ 45 - 100 = -55 \]
Therefore, the total momentum after the collision is \( -55 , \text{kg⋅m/s} \).
The correct response is: −55 kg⋅m/s.