Does a Vertical Force Affect Horizontal Speed on a Frictionless Surface?

  • Thread starter gunblaze
  • Start date
In summary, when a ball is rolling horizontally at constant speed on a frictionless table in vacuum and a constant vertical force is exerted on it, the horizontal speed will not change due to the resultant force in the vertical direction. This is because on a frictionless surface, a vertical force will not cause any horizontal velocity change. Additionally, if the force that started the movement was not applied in a direction passing through the center of mass, the ball will still roll even on a frictionless surface. The only exception would be if the angular velocity was precisely calculated to match the distance traveled by the ball. However, this is not a necessary assumption for the given problem.
  • #1
gunblaze
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0
Lets say i have a ball rolling horizontally at constant speed on a frictionless table in vacumm. When i exert a constant vertical force on the ball. Will the horizontal speed change due to the resultant force in the vertical direction? thx
 
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  • #2
No. As long as its a frictionless surface, a vertical force won't result in any horizontal velocity change.
 
  • #3
If its frictionless the ball won't be rolling.
 
  • #4
whozum said:
If its frictionless the ball won't be rolling.
If the force that started the movement was not applied in a direction passing through the center of mass, the ball will roll even in a frictionless surface.
 
  • #5
SGT said:
If the force that started the movement was not applied in a direction passing through the center of mass, the ball will roll even in a frictionless surface.

Only if the angular velocity was the exact amount such that for every 2pi radians swept the ball traveled [itex] 2\piR [/itex] units of length.. which is way more assuming than necessary for the problem.
 

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