Question

Three forces, A, B, and C, act on an object simultaneously. The forces have the following x and y components: Ax = 20 N, Ay = -10 N, Bx = 10 N, By = 15 N, Cx = 0 N, Cy = 5 N. What are the components of the net force R?

Answer 1

The net force R has x and y components of 30 N and 10 N, respectively, which are the sums of the individual components of forces A, B, and C.

Step-by-step explanation:

To find the components of the net force acting on an object due to multiple forces, you sum up the individual x-components and y-components of all the forces. In this case, you have forces A, B, and C with their respective components. The x-component of the net force (Rx) is calculated as Ax + Bx + Cx, and the y-component of the net force (Ry) is Ay + By + Cy. Substituting the values provided:

• Rx = 20 N (Ax) + 10 N (Bx) + 0 N (Cx) = 30 N
• Ry = -10 N (Ay) + 15 N (By) + 5 N (Cy) = 10 N

Therefore, the components of the net force R are 30 N in the x-direction and 10 N in the y-direction.