-  For each set of listed forces, determine the vector sum or the net force.

| Set A | Set B | Set C |
|---|---|---|
| 58 N 0° | 14 N, 60° | 12 N, 33° |
| 42 N, 180° | 16 N, 45° | 8 N, 42° |
| 94 N, 90° | 16 N, 210° | |
| 94 N, 270° | |

- Hector is walking his dog (Mr. Jones) around the neighborhood. Upon arriving at Fidella's house (a friend of Mr. Jones), Mr. Jones stops and refuses to continue. Hector (who actually takes very good care of his dogs) yanks the chain with a force of 42 N at an angle of 80°. Determine the horizontal and vertical components of the tension force.

- A pack of three wolves are playing tug-of war with a live bear. A top view of the magnitude and direction of the three forces is shown in the diagram below.
  - Determine the resultant or net force acting upon the bear.
  - The bear weighs 300kg. Determine the acceleration of the bear.

```
                 🐺
                 / 
                600 N, 45°
               /
🐺-250N, 180°-🐻
              |
              500 N, 270°
              |
              🐺
```

- Renee is on Spring Break and pulling her 28-kg suitcase through the airport at a constant speed of 0.49 m/s. She pulls on the strap with 120 N of force at an angle of 30° above the horizontal. Determine the normal force and the total resistance force (friction and air resistance) experienced by the suitcase.

- A fire breaks out on a high rise building and a rescue helicopter is called to the scene. The helicopter is equipped with a rescue basket attached by a strong cable to a winch on the helicopter. The rescue basket is lowered to the roof and some occupants of the top floor escape to the roof and enter the basket. As the helicopter takes off, the cable momentarily makes a 79° angle to the horizontal, imparting a slight horizontal acceleration to the 621-kg basket and occupants across the roof top. The coefficient of friction between the basket and the roof top is 0.598 and the tension in the cable is 4980 N. Determine the acceleration of the basket and occupants. (Suggestion: Begin with a free body diagram.)

- The custodians clean the field house gym floor between games at Bob's Basketball Court. Carl exerts a force on a 1.4-kg push broom as he walks across the floor at a constant speed. The coefficient of friction between the floor and the broom is 0.49 and the broom handle makes an angle of 40° with the horizontal. Determine the amount of force with which Carl pushes downward (along the handle of the broom) in order to achieve this constant speed motion. (Suggestion: Begin with a free body diagram.)

- Troy Ginometri, owner of the local floral shop, displays the sale of the month in the front window of his shop. The 5.8-kg flower pot is suspended by three chains from the ceiling. The chains make an angle of 25° with the vertical. Determine the tension in one of the chains.

- Shelli exerts a force on a 42-kg crate of books to push it up the ramp of the loading dock at a constant speed of 24 cm/s. The ramp makes an angle of 15° with the horizontal. The coefficient of friction between the crate and the ramp is 0.44. Assuming that Shelli is pushing parallel to the inclined plane, determine the force with which she is pushing. (Suggestion: Begin with a free body diagram.)

- Nika recently found out that the sledding hill on the west side of Lake Bluebird is more of a shredding hill than a sledding hill. She boarded his 60-inch sled and descended the steepest section near the tall trees. Before his ride ended at the location of a tree stump buried a few inches below the snow, she was accelerating at 2.5 m/s/s down the 21° incline. Determine the coefficient of friction between the sled and the snow. (Suggestion: Begin with a free body diagram.)

Source: https://www.physicsclassroom.com/calcpad/vecforce/problems

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