Question

The table represents the forces on four objects, with directions. A 5-column table with 4 rows. The first column labeled Object has entries W, X, Y, Z. The second column labeled F subscript 1 arrow pointing up has entries 30 Newtons, 15 Newtons, 60 Newtons, 45 Newtons. The third column labeled F subscript 2 arrow pointing right has entries 20 Newtons, 35 Newtons, 0 Newtons, 0 Newtons. The fourth column labeled F subscript 3 arrow pointing left has entries 20 Newtons, 25 Newtons, 0 Newtons, 22 Newtons. The fifth column labeled F subscript 4 arrow pointing down has entries 30 Newtons, 15 Newtons, 60 Newtons, 45 Newtons. Which best explains the forces acting on the objects? Objects W and X have balanced forces, and objects Y and Z have unbalanced forces. Objects W and Y have balanced forces, and objects X and Z have unbalanced forces. Objects X and Y have balanced forces, and objects W and Z have unbalanced forces. Objects X and Z have balanced forces, and objects W and Y have unbalanced forces.

Answer 1

Answer:

Objects W and Y have balanced forces, and objects X and Z have unbalanced forces.

Explanation:

We represent the table below and study which forces are balanced in the vertical and horizontal directions separately:

$\left[\begin{array}{ccccc}Object&F_U&F_R&F_L&F_D\\W&30&20&20&30\\X&15&35&25&15\\Y&60&0&0&60\\Z&45&0&22&45\end{array}\right]$

Study of the balance of vertical forces (we study the Up and Down forces (Columns $F_U$ and  $F_D$ . e notice that the magnitudes we read for object W are 30N and 30N respectively, therefore this object is vertically balanced. Object X is also vertically balanced since the magnitude of the force pointing up equals the magnitude of force pointing down (15N in both cases). Objects Y and Z are also balanced vertically, since for object Y the force up is 60N and equal in magnitude to the downward force of 60N; and object Z has 45N pointing up and also 45N pointing down. Then vertically, all objects are balanced.

Now the horizontal analysis of forces:

Object W shows 20N to the right and 20N to the left, so this object is balanced also horizontally.

Object X is NOT balanced because the force to the right 35N is 10N larger than the force to the left (25N)

Object Y is horizontally balanced since it has 0N both left and right.

Object Z is NOT balanced horizontally, since the force to the left is 22N while there is a zero force to the right.

In summary: the only objects that are completely balanced (vertically and horizontally) are: object W and object Y. While objects X and Z have unbalanced forces

Answer 2

Answer:

b, took the test

Explanation: