Laws of Motion – Circular Motion Dynamics, Banking of Roads

Grade 11 Physics — Laws of Motion – Circular Motion Dynamics, Banking of Roads: 25 practice questions with instant scoring and explanations.

1. Centripetal force needed for circular motion is provided on a level road by:
2. Maximum speed on a level circular road with friction coefficient μ and radius r (g=10):
3. Banking of road helps by:
4. Angle of banking θ for speed v and radius r (no friction) satisfies:
5. For maximum safe speed on a banked road (no friction) with radius 50 m and banking angle 30° (g=10):
6. On a rough banked road, maximum safe speed is:
7. Conical pendulum: tension T provides:
8. In vertical circle, minimum speed at top of loop (radius r, g=10) for string taut:
9. Minimum speed at bottom of loop for completing full vertical circle:
10. Difference in tension at top and bottom of a vertical loop equals:
11. A car rounding a curve on a banked road needs:
12. For a motorcyclist on a circular track, lean angle θ for speed v and radius r:
13. A 1000 kg car moves at 20 m/s round a curve of radius 100 m. Centripetal force:
14. In above case, coefficient of friction required (g=10):
15. The outer rail of a curved railway track is:
16. A stone tied to a string of length 1 m is whirled in a vertical circle. Minimum speed at top (g=10):
17. Minimum speed at bottom in above case:
18. Maximum speed on a level road of μ=0.5, r=20 m (g=10):
19. A car moves on a banked track at design speed. Friction required is:
20. Period of a conical pendulum of length L and half-angle θ:
21. In uniform circular motion on a rough banked curve with angle θ and coefficient μ, max speed is:
22. A cyclist goes round a curve of radius 10 m at 5 m/s. Lean angle (g=10):
23. For circular motion, external centripetal force must be provided by:
24. A car moving at 15 m/s on a flat curve of radius 45 m needs a minimum μ of (g=10):
25. If a car enters a curve too fast on a banked road (v > v_design) without friction, it will tend to: