For this issue, the answer is clarified as the system takes in energy (+). The surroundings contribute 84 KJ of work. Whenever a system is receiving work from its surroundings, the value will be positive. Therefore, it sums to 12.4 KJ + 4.2 = 16.6 KJ.
The Pythagorean Theorem can be utilized here: Imagine a car navigating through traffic—when it turns left to travel north, a right angle of 90 degrees is formed. However, the displacement is always the shortest distance connecting the origin and the endpoint, which forms a triangle in this scenario. In a right triangle, the Pythagorean theorem applies: 215^2+45^2=c^2; therefore, v=√(215^2+45^2).
Answer:
6.32 m/s at an angle of 18.43° northeast
Explanation:
We represent the hawk's velocity as follows:

We set east as the positive x direction and north as the positive y direction. Hence, the magnitude is simply calculated using the square root of the squared components:
≈
And the angle in relation to east is given by:
