1. **State the problem:** Determine whether the given scenarios represent examples of work done.
2. **Recall the definition of work:** Work is done when a force causes displacement in the direction of the force. Mathematically, work $W = Fd \cos(\theta)$ where $F$ is force, $d$ is displacement, and $\theta$ is the angle between force and displacement.
3. **Analyze each case:**
- a) Teacher applies force to a wall but the wall does not move, so displacement $d=0$. Therefore, $W=0$. **No work done.**
- b) Weightlifter lifts a barbell upward, force and displacement are in the same direction. **Work done.**
- c) Waiter carries tray at constant speed horizontally, force is vertical (holding up), displacement is horizontal, angle $90^\circ$, so $\cos 90^\circ=0$. **No work done.**
- d) Rolling marble hits note card and moves it, force causes displacement. **Work done.**
- e) Shot-putter launches shot, force causes displacement. **Work done.**
**Final answers:**
a) No
b) Yes
c) No
d) Yes
e) Yes
Work Done 6Dc722
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