Question

calculating net forces - examples
interpret each drawing of forces on the box. calculate and write the resulting net force on the blank below the box (make sure to include the correct unit of measure). on the next blank, write the word balanced or unbalanced and circle the arrow for the direction of the resulting net force. see the examples below.
examples
a
225 n → box
net force ______
______ → ←
b
box ← 75 n
net force ______
______ → ← (arrow circled)
c
50 n → box ← 100 n
50 n →
net force ______
balanced → ←
d
792 n → box ← 400 n
632 n →
100 n →
net force ______
unbalanced → ←
e
550 n → box ← 1563 n
750 n →
250 n →
net force ______
______ → ←
f
987,256 n → box ← 993,267 n
net force ______
unbalanced → ←

Explanation:

Step1: Analyze Force Directions

For each box, identify forces acting left and right. Sum forces in each direction.

Step2: Calculate Net Force

Subtract the smaller sum from the larger sum. If equal, net force is 0 (balanced); else, unbalanced.

Example A:

• Right force: \( 225\,\text{N} \), Left force: \( 0\,\text{N} \)
• Net Force: \( 225 - 0 = 225\,\text{N} \) (unbalanced, right)

Example B:

• Right force: \( 0\,\text{N} \), Left force: \( 75\,\text{N} \)
• Net Force: \( 75 - 0 = 75\,\text{N} \) (unbalanced, left)

Example C:

• Right forces: \( 50 + 50 = 100\,\text{N} \), Left force: \( 100\,\text{N} \)
• Net Force: \( 100 - 100 = 0\,\text{N} \) (balanced)

Example D:

• Right forces: \( 792 + 632 + 100 = 1524\,\text{N} \), Left forces: \( 400 + 900 = 1300\,\text{N} \)
• Net Force: \( 1524 - 1300 = 224\,\text{N} \) (unbalanced, right)

Example E:

• Right forces: \( 550 + 750 + 250 = 1550\,\text{N} \), Left force: \( 1563\,\text{N} \)
• Net Force: \( 1563 - 1550 = 13\,\text{N} \) (unbalanced, left)

Example F:

• Right force: \( 987256\,\text{N} \), Left force: \( 993267\,\text{N} \)
• Net Force: \( 993267 - 987256 = 6011\,\text{N} \) (unbalanced, left)

Answer:

• A: Net Force \( 225\,\text{N} \), Unbalanced (Right)
• B: Net Force \( 75\,\text{N} \), Unbalanced (Left)
• C: Net Force \( 0\,\text{N} \), Balanced
• D: Net Force \( 224\,\text{N} \), Unbalanced (Right)
• E: Net Force \( 13\,\text{N} \), Unbalanced (Left)
• F: Net Force \( 6011\,\text{N} \), Unbalanced (Left)