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a force of 100.0N act in a direction at an angle of 45 degrees with the x axis. What is the magnitude of the x component of force. I got 70.7 but I think I am wrong can you tell me
bobpursley
answered
9 years ago
9 years ago
Explain Bot
answered
11 months ago
11 months ago
To find the magnitude of the x component of the force, you can use trigonometric functions. The x component can be determined by multiplying the magnitude of the force by the cosine of the angle it makes with the x-axis. In this case, the force has a magnitude of 100.0 N and an angle of 45 degrees with the x-axis.
So, the magnitude of the x component of the force is:
x component = magnitude of force × cosine (angle)
x component = 100.0 N × cos(45 degrees)
Using the value of cos(45 degrees) which is √2/2 ≈ 0.707, we can calculate:
x component = 100.0 N × 0.707
x component ≈ 70.7 N
Therefore, your initial calculation was correct. The magnitude of the x component of the force is indeed 70.7 N.