Question

the momentum of an object is determined to be 7.2×10^{-3} kg·m/s. express this quantity as provided or use any equivalent unit. (note: 1 kg = 1000 g)

Explanation:

Step1: Convert kg to g

Since \(1\ \text{kg} = 1000\ \text{g}=10^{3}\ \text{g}\), we have \(7.2\times 10^{-3}\ \text{kg}\cdot\text{m/s}=7.2\times 10^{-3}\times10^{3}\ \text{g}\cdot\text{m/s}\)

Step2: Simplify the expression

Using the rule of exponents \(a^{m}\times a^{n}=a^{m + n}\), where \(a = 10\), \(m=-3\) and \(n = 3\). Then \(7.2\times 10^{-3}\times10^{3}\ \text{g}\cdot\text{m/s}=7.2\times10^{-3 + 3}\ \text{g}\cdot\text{m/s}=7.2\ \text{g}\cdot\text{m/s}\)

Answer:

\(7.2\ \text{g}\cdot\text{m/s}\)