Question

recall that the formula for momentum is: p = mv which of the following correctly shows momentum being calculated? (1 point) 45 kg m/s = (9 kg)(5 m/s) 4 kg m/s = (9 kg)(5 m/s) 45 n = (9 kg)(5 m/s) 14 kg * /s = (9 kg)(5 m/s)s

Explanation:

Step1: Calculate the right - hand side

According to the formula \(P = mv\), when \(m = 9\space kg\) and \(v=5\space m/s\), we calculate \(mv\).

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Step2: Check the units

The unit of momentum \(P\) is \(kg\cdot m/s\). The second option \(4\space kg\cdot m/s=(9\space kg)(5\space m/s)\) has wrong numerical value. The third option has the unit of force (\(N\)) instead of momentum. The fourth option has wrong unit \(kg\cdot/s\) (after simplifying \(14\space kg\cdot/s=(9\space kg)(5\space m/s)s\), the right - hand side is \(45\space kg\cdot m\) and the left - hand side unit \(kg/s\) is incorrect)

Answer:

\(45\space kg\cdot m/s=(9\space kg)(5\space m/s)\)