Question

Mostre que as unidades de impulso e de quantidade de movimento são equivalentes (isto é, 1 N.s = 1 kg. m/s)

Answer 1

$\text{N} \cdot s = \frac{\text{kg} \cdot m}{s}, \text{pois:} \\\\ \text{N} = m \cdot a \rightarrow \text{kg} \cdot \frac{m}{s^2}} \\\\ \text{Assim:} \\\\ \text{kg} \cdot \frac{m}{s^2}} \cdot s = \text{kg} \cdot \frac{m}{s^2}} \\\\ \text{kg} \cdot \frac{m}{s \cdot \not{s}}} \cdot \not{s} = \frac{\text{kg} \cdot m}{s} \\\\ \boxed{\frac{\text{kg} \cdot m}{s} = \frac{\text{kg} \cdot m}{s}}$