To find the total momentum after the collision, we need to sum the individual momentums of the three objects.
The momentums are:
- \( p_1 = 110 , \text{kg⋅m/s} \)
- \( p_2 = -65 , \text{kg⋅m/s} \)
- \( p_3 = -100 , \text{kg⋅m/s} \)
Now, we can calculate the total momentum \( P_{total} \):
\[ P_{total} = p_1 + p_2 + p_3 \]
\[ P_{total} = 110 + (-65) + (-100) \]
\[ P_{total} = 110 - 65 - 100 \]
\[ P_{total} = 110 - 165 \]
\[ P_{total} = -55 , \text{kg⋅m/s} \]
So, the total momentum after the collision is −55 kg⋅m/s.
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