The table represents the forces on four objects, with directions.

Question

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
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

To determine whether the forces on each object are balanced or unbalanced, we need to examine the net force acting on each object. A set of forces is balanced if the net force (the sum of all the forces in all directions) equals zero, and it is unbalanced if the net force does not equal zero.

Let's analyze each object:

1. Object W:

   • F1 (up) = 30 N
   • F2 (right) = 20 N
   • F3 (left) = 20 N
   • F4 (down) = 30 N

   Vertical forces: \(30N , \text{(up)} - 30N , \text{(down)} = 0N\) (balanced)

   Horizontal forces: \(20N , \text{(right)} - 20N , \text{(left)} = 0N\) (balanced)

   Net Force: 0 N (Balanced)

2. Object X:

   • F1 (up) = 15 N
   • F2 (right) = 35 N
   • F3 (left) = 25 N
   • F4 (down) = 15 N

   Vertical forces: \(15N , \text{(up)} - 15N , \text{(down)} = 0N\) (balanced)

   Horizontal forces: \(35N , \text{(right)} - 25N , \text{(left)} = 10N , \text{(right)} \) (unbalanced)

   Net Force: 10 N (Unbalanced)

3. Object Y:

   • F1 (up) = 60 N
   • F2 (right) = 0 N
   • F3 (left) = 0 N
   • F4 (down) = 60 N

   Vertical forces: \(60N , \text{(up)} - 60N , \text{(down)} = 0N\) (balanced)

   Horizontal forces: \(0N , \text{(right)} - 0N , \text{(left)} = 0N\) (balanced)

   Net Force: 0 N (Balanced)

4. Object Z:

   • F1 (up) = 45 N
   • F2 (right) = 0 N
   • F3 (left) = 22 N
   • F4 (down) = 45 N

   Vertical forces: \(45N , \text{(up)} - 45N , \text{(down)} = 0N\) (balanced)

   Horizontal forces: \(0N , \text{(right)} - 22N , \text{(left)} = -22N , \text{(left)}\) (unbalanced)

   Net Force: 22 N (Unbalanced)

Now we summarize:

• Object W: Balanced
• Object X: Unbalanced
• Object Y: Balanced
• Object Z: Unbalanced

Looking at the options provided:

1. Objects W and X have balanced forces, and objects Y and Z have unbalanced forces. (False)
2. Objects W and Y have balanced forces, and objects X and Z have unbalanced forces. (True)
3. Objects X and Y have balanced forces, and objects W and Z have unbalanced forces. (False)
4. Objects X and Z have balanced forces, and objects W and Y have unbalanced forces. (False)

Therefore, the correct answer is: Objects W and Y have balanced forces, and objects X and Z have unbalanced forces.