A force vector F has a magnitude of 10 N and is... - SS1 Physics Scalar And Vector Quantities Question

Given:

Magnitude of force (F) = 10 N

Angle with x-axis (θ) = 60 degrees

 

To find the x and y components, we can use the following trigonometric relationships:

Fx = F X cos(θ)

Fy = F X sin(θ)

 

Calculating the components:

Fx = 10 N X cos(60 degrees) = 10 N X 0.5 = 5 N

Fy = 10 N X sin(60 degrees) = 10 N X 0.866 = 8.66 N

The x component of the force vector is 5 N, and the y component is 8.66 N.