Answer :
Final answer:
The force of 250 N at 30 degrees to the x-axis can be resolved into components using the cosine and sine of the angle: 125√3 N along the x-axis and 125 N along the y-axis.Hence option B is correct.
Explanation:
To resolve a force of 250 N that acts at an angle of 30° to the positive x-axis into its components, we use trigonometry. The component along the x-axis is found by multiplying the force by the cosine of the angle (cos(30°)), and the component along the y-axis is found by multiplying the force by the sine of the angle (sin(30°)).
The x-component of the force, Fx, is calculated as follows:
- Fx = 250 N × cos(30°)
- Fx = 250 N × √3/2
- Fx = 125√3 N
The y-component of the force, Fy, is:
- Fy = 250 N × sin(30°)
- Fy = 250 N × 1/2
- Fy = 125 N
Therefore, the force can be resolved into a 125√3 N component along the x-axis and a 125 N component along the y-axis.
