Question

Two arrows are fired simultaneously with the same speed of 30. 0 m/s. Each arrow has a mass of 0. 100 kg. One is fired due east and the other due south. What is the magnitude of the total momentum of this two-arrow system?.

Answer 1

Answer: 4.24 kg ⋅ m/s

Explanation:

$The total momentum of the system is given by: p=\sqrt{p_{1}^{2}+p_{2}^{2}} According to the information provided, the momentum of first system p_{1} is equal to momentum of second system p_{2} \begin{aligned}&p=\sqrt{2 p_{1}^{2}} \\&=\sqrt{2 \cdot(0.100 \mathrm{~kg} \times 30 \mathrm{~m} / \mathrm{s})^{2}} \\&p=4.24 \mathrm{~kg} \cdot \mathrm{m} / \mathrm{s}\end{aligned}$