We want to draw a diagram for the given situation, the diagram can be seen below.
So we know the forces that two dogs use to pull a bone.
- Dog A pulls with a force of 10N to North.
- Dog B pulls with a force of 20N to South-East.
So the first thing we must do, is to define where are North and East in the coordinate axis.
I will define North as the positive y-axis and East as the positive x-axis.
Because dog B pulls to South-East we can write its force as a vector:
F = (f, - f)
Such that:
[tex]\sqrt{f^2 + (-f)^2} = 20N\\\\\sqrt{2}*f = 20N\\\\f = 20N/\sqrt{2} = 14.14N[/tex]
Then the diagram has two forces:
- for dog A: F = (0, 10N)
- for dog B: F = (14.14N, -14.14N)
The diagram can be seen below.
If you want to learn more, you can read:
https://brainly.com/question/18954393
