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

you are correct. 100cos45

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.