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

Step-by-step 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} * 30 \mathrm{~m} / \mathrm{s})^(2)} \\&p=4.24 \mathrm{~kg} \cdot \mathrm{m} / \mathrm{s}\end{aligned}$$`