Question

p_stick = -22.4 kg m/s p_ball = +2.40 kg m/s
what is the total momentum of the system?
momentum (kg m/s)

Explanation:

Step1: Recall total momentum formula

The total momentum \( P_{\text{total}} \) of a system is the sum of the momenta of its components. So, \( P_{\text{total}} = P_{\text{stick}} + P_{\text{ball}} \).

Step2: Substitute the given values

We know \( P_{\text{stick}} = -22.4 \, \text{kg m/s} \) and \( P_{\text{ball}} = +2.40 \, \text{kg m/s} \). Substituting these into the formula:
\( P_{\text{total}} = -22.4 + 2.40 \)

Step3: Perform the addition

Calculating the sum: \( -22.4 + 2.40 = -20.0 \, \text{kg m/s} \) (we consider significant figures or decimal places as appropriate; here, the result is -20.0 when considering the precision of the given values).

Answer:

The total momentum of the system is \(-20.0 \, \text{kg m/s}\) (or \(-20 \, \text{kg m/s}\) depending on rounding conventions, but with the given values, \(-20.0\) is more precise).