Starting from rest several toy cars roll down ramps at different

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The discussion revolves around the physics of toy cars rolling down ramps of varying lengths and angles. The original poster seeks to rank the speeds of the cars at the bottom of the ramps based on their incline and length.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Some participants discuss the relationship between the angle of inclination and the speed of the cars at the bottom of the ramp, questioning the original poster's assumptions. Others mention the conservation of energy as a key principle in understanding the problem.

Discussion Status

Participants are exploring the implications of conservation of energy on the speed of the cars. Some guidance has been offered regarding the independence of speed from the angle and length of the ramps, but there is ongoing questioning about the reasoning behind this concept.

Contextual Notes

There is a mention of the distinction between the speed at the bottom of the ramp and the speed after leaving the ramp, indicating that the discussion may involve additional factors affecting the cars' motion.

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Starting from rest several toy cars roll down ramps at different lengths and angles. Rank them according to their speed at the bottom of the ramp from slowest to fastest. Car A goes down a 10m ramp inclined at 15 degrees, Car B goes down a 10 m ramp inclined at 20 degrees, car C goes down a 8 m ramp inclined at 20 degrees and Car D coes down a 12 m ramp inclines at 12.
 
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Welcome to PF.
Velocity at the bottom of an incline is independent of angle of inclination and length of inclines.
 
thank you
 
Always Game.
 
physixguru said:
Welcome to PF.
Velocity at the bottom of an incline is independent of angle of inclination and length of inclines.

? Can you explain?
 
physixguru said:
Velocity at the bottom of an incline is independent of angle of inclination and length of inclines.

(physixguru means length as opposed to height.)

Hint: this follows from conservation of energy - can you see why?

Also, don't forget that that's only half the problem: the speed immediately after leaving the ramp (on the horizontal ground) is a lot less than the speed immediately before leaving the ramp (that's pretty obvious if the ramp is almost vertical, but it's still true for small angles). :smile:
 

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