To determine which of the given responses correctly shows the calculation of momentum using the formula \( P = mv \), we can evaluate each option:
-
4 kg*m/s = (9 kg)(5 m/s)
- Calculate the right side: \( (9 \text{ kg})(5 \text{ m/s}) = 45 \text{ kg*m/s} \)
- This is incorrect since \( 4 \text{ kgm/s} \neq 45 \text{ kgm/s} \).
-
45 N = (9 kg)(5 m/s)
- Calculate the right side: \( (9 \text{ kg})(5 \text{ m/s}) = 45 \text{ kg*m/s} \)
- The left side is incorrectly labeled as Newtons (N); it should be kg*m/s for momentum. This is incorrect.
-
14 kg/s = (9 kg)(5 m/s)s*
- The units are incorrect and nonsensical as written on the left side, and the right side correctly calculates to \( 45 \text{ kg*m/s} \). This is incorrect due to both units and value.
-
45 kg*m/s = (9 kg)(5 m/s)
- Calculate the right side: \( (9 \text{ kg})(5 \text{ m/s}) = 45 \text{ kg*m/s} \)
- This is correct as both sides are equal.
Therefore, the correct response showing momentum being calculated is:
45 kg*m/s = (9 kg)(5 m/s)