1. Problem: Draw free-body diagrams for various physical scenarios and interpret the forces involved. 2. Scenario 1: A book at rest on a table. - Forces: Gravitational force downward ($F_g$), Normal force upward ($F_N$). - Since the book is at rest, $F_N = F_g$. 3. Scenario 2: A ball dropped from rest (neglect air resistance). - Forces: Gravitational force downward ($F_g$). - No normal force since the ball is in free fall. 4. Scenario 3: A book pushed to the right and accelerating. - Forces: Applied force to the right ($F_{app}$), Normal force upward ($F_N$), Gravitational force downward ($F_g$), Friction neglected. - Since accelerating right, $F_{app} > 0$. 5. Scenario 4: A book pushed to the right at constant velocity. - Forces: Applied force right ($F_{app}$), Friction force left ($F_f$), Normal force up ($F_N$), Gravitational force down ($F_g$). - Since velocity constant, $F_{app} = F_f$. 6. Scenario 5: Football moving upward and rightward towards peak. - Forces: Gravitational force downward ($F_g$). - Velocity has components up and right, acceleration downward. 7. Scenario 6: Football at peak of trajectory. - Forces: Gravitational force downward ($F_g$). - Velocity momentarily horizontal, acceleration downward. 8. Scenario 7: Book pushed right and accelerating (repeat of 3). 9. Scenario 8: Falling skydiver at terminal velocity. - Forces: Gravitational force down ($F_g$), Air resistance up ($F_{air}$). - Forces balanced: $F_g = F_{air}$. 10. Scenario 9: Skydiver with parachute open. - Forces: Gravitational force down ($F_g$), Larger air resistance up ($F_{air}$). - $F_{air} > F_g$ initially to slow descent. 11. Scenario 10: Student pushing box, box does not move. - Forces: Applied force right ($F_{app}$), Static friction left ($F_{fric}$), Normal force up ($F_N$), Gravitational force down ($F_g$). - $F_{app} extless F_{fric}$, no motion. 12. Scenario 11: Car skidding to stop, wheels locked. - Forces: Friction force left ($F_{fric}$), Gravitational force down ($F_g$), Normal force up ($F_N$). - Friction opposes motion. 13. Scenario 12: Elevator moving up at constant velocity. - Forces: Tension up ($T$), Gravitational force down ($F_g$). - $T = F_g$. 14. Scenario 13: Rightward-moving box slowing to stop. - Forces: Friction left ($F_{fric}$), Normal up ($F_N$), Gravitational down ($F_g$). - Net force left, deceleration. 15. Scenario 14: Downward moving elevator slowing down. - Forces: Tension up ($T$), Gravitational down ($F_g$). - $T > F_g$ to decelerate downward motion. 16. Scenario 15: Picture hanging symmetrically by two wires at angles. - Forces: Tension in wires ($T_1$, $T_2$) at angles, Gravitational force down ($F_g$). - Vertical components of tensions balance $F_g$, horizontal components cancel. 17. Scenario 16 & 17: Air track glider gliding right at constant velocity. - Forces: Applied force right ($F_{app}$), Friction negligible, Normal up ($F_N$), Gravitational down ($F_g$). - Net force zero, constant velocity. Final answer: Each free-body diagram includes forces labeled by type with arrows proportional to magnitude, showing balance or net force causing acceleration as described above.