Question

calculating net forces
interpret each diagram of forces on the box. calculate and write the resulting net force
in the blank below the box (make sure to include the correct unit of measure). in the
next blank, write the word balanced or unbalanced and circle the arrow for the direction
of the resulting net force.
1
100 n
50 n
75 n
net force
______
______ → ←
2
565 n
702 n
132 n
345 n
net force
______
______ → ←
3
61 n
61 n
192 n
net force
______
______ → ←
4
1231 n
480 n
562 n
956 n
net force
______
______ → ←
5
653 n
1000 n
382 n
net force
______
______ → ←
6
8732 n
net force
______
______ → ←
7
577 n
2957 n
net force
______
______ → ←
8
83 n
96 n
net force
______
______ → ←

Explanation:

Step1: Analyze Problem 1

For the first problem, forces to the right: \(100\,\text{N}\), forces to the left: \(50\,\text{N} + 75\,\text{N}=125\,\text{N}\). Net force: \(100 - 125=- 25\,\text{N}\) (left direction, so magnitude \(25\,\text{N}\) left).

Step2: Analyze Problem 2

Right forces: \(565\,\text{N}+132\,\text{N} = 697\,\text{N}\), left forces: \(702\,\text{N}+345\,\text{N}=1047\,\text{N}\). Net force: \(697 - 1047=-350\,\text{N}\) (left, magnitude \(350\,\text{N}\)).

Step3: Analyze Problem 3

Right forces: \(61\,\text{N}+192\,\text{N}=253\,\text{N}\), left force: \(61\,\text{N}\). Net force: \(253 - 61 = 192\,\text{N}\) (right).

Step4: Analyze Problem 4

Right forces: \(1231\,\text{N}+562\,\text{N}=1793\,\text{N}\), left forces: \(480\,\text{N}+956\,\text{N}=1436\,\text{N}\). Net force: \(1793 - 1436 = 357\,\text{N}\) (right).

Step5: Analyze Problem 5

Right forces: \(653\,\text{N}+382\,\text{N}=1035\,\text{N}\), left force: \(1000\,\text{N}\). Net force: \(1035 - 1000 = 35\,\text{N}\) (right).

Step6: Analyze Problem 6

Only right force: \(8732\,\text{N}\), so net force \(8732\,\text{N}\) right.

Step7: Analyze Problem 7

Right force: \(577\,\text{N}\), left force: \(2957\,\text{N}\). Net force: \(577 - 2957=-2380\,\text{N}\) (left, magnitude \(2380\,\text{N}\)).

Step8: Analyze Problem 8

Right force: \(83\,\text{N}\), left force: \(96\,\text{N}\). Net force: \(83 - 96=-13\,\text{N}\) (left, magnitude \(13\,\text{N}\)).

Answer:

s (for each problem):

1. Net Force: \(25\,\text{N}\) (left)
2. Net Force: \(350\,\text{N}\) (left)
3. Net Force: \(192\,\text{N}\) (right)
4. Net Force: \(357\,\text{N}\) (right)
5. Net Force: \(35\,\text{N}\) (right)
6. Net Force: \(8732\,\text{N}\) (right)
7. Net Force: \(2380\,\text{N}\) (left)
8. Net Force: \(13\,\text{N}\) (left)