Question

the table represents the forces on four objects, with directions. which best explains the forces acting on the objects? object f1↑ f2→ f3← f4↓ w 30 n 20 n 20 n 30 n x 15 n 35 n 25 n 15 n y 60 n 0 n 0 n 60 n z 45 n 0 n 22 n 45 n 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.

Explanation:

Step1: Calculate net - force in vertical direction for each object

For object W: $F_{1}-F_{4}=30 - 30=0$ N.
For object X: $F_{1}-F_{4}=15 - 15 = 0$ N.
For object Y: $F_{1}-F_{4}=60 - 60=0$ N.
For object Z: $F_{1}-F_{4}=45 - 45 = 0$ N.

Step2: Calculate net - force in horizontal direction for each object

For object W: $F_{2}-F_{3}=20 - 20=0$ N.
For object X: $F_{2}-F_{3}=35 - 25 = 10$ N.
For object Y: $F_{2}-F_{3}=0 - 0=0$ N.
For object Z: $F_{2}-F_{3}=0 - 22=- 22$ N.

Step3: Determine balanced and unbalanced forces

Balanced forces occur when the net - force on an object is zero. Unbalanced forces occur when the net - force is non - zero.
Object W has a net force of zero in both horizontal and vertical directions, so it has balanced forces.
Object X has a non - zero net force in the horizontal direction ($10$ N), so it has unbalanced forces.
Object Y has a net force of zero in both horizontal and vertical directions, so it has balanced forces.
Object Z has a non - zero net force in the horizontal direction ($-22$ N), so it has unbalanced forces.

Answer:

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