The wind exerts a force of 500 N north on a sailboat, while the water exerts a force of 350 N west on the sailboat. Find the magnitude of the net force on the sailboat
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Answered by
1
Explanation:
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Answered by
0
Answer:
Direction =
45
o
North of West (Due North-West)
Magnitude = 557 N
Explanation:
In this question you have a force (452N) due North and a force (325N) due West. Since these directions are
90
o
apart from one another the angle of the net force is
45
o
.
To calculate the magnitude you must reach WAAAAAY back in your math classes to the pythagorean theorem; since you can view these vectors as a triangle with the net force being the hypotenuse.
a
2
+
b
2
=
c
2
(
325
N
)
2
+
(
452
N
)
2
=
309929
N
2
You can then take the square root of your answer to find the magnitude in Newtons.
√
309929
N
2
=
557
N
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