A force of 9.00 newtons acts at an angle of 19.0° to the horizontal. What is its component in the horizontal direction?
To find the component of the force in the horizontal direction, you can use trigonometry. Specifically, you can use the cosine function, which relates the adjacent side of a right triangle to the hypotenuse and the angle formed.
In this case, the force of 9.00 newtons represents the hypotenuse of the right triangle, and the horizontal component is the adjacent side. The angle, given as 19.0°, is the angle between the force and the horizontal direction.
To find the horizontal component, you can use the formula:
Horizontal component = Force * cosine(angle)
Plugging in the values:
Horizontal component = 9.00 newtons * cosine(19.0°)
Now, let's calculate the result:
Horizontal component ≈ 9.00 N * cos(19.0°)
≈ 9.00 N * 0.947
≈ 8.51 newtons
Therefore, the horizontal component of the force is approximately 8.51 newtons.