Frictionless, horizontal table radius and speed ?

In summary, the concept of frictionless, horizontal table radius and speed involves an object placed on a perfectly smooth surface with no friction. This scenario does not exist in the real world, but is used by scientists for calculations and understanding friction. The radius of the table affects the object's movement by changing the required force, and in a frictionless scenario, the speed remains constant. Factors such as mass, force, external forces, and surface smoothness can affect the object's movement on a frictionless, horizontal table.
  • #1
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Frictionless, horizontal table...radius and speed...?

The 0.20 kg puck on a frictionless, horizontal table is connected by a string through a hole in the table to a hanging 1.20 kg block. With what speed must the puck rotate in a cicle of radius 0.50 m if the block is to remain hanging at rest?
 
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  • #2


Remember that it is the rope tension that:

1. May hold the block hanging (what must therefore the tension be equal to?)

2. Provides the centripetal acceleration of the puck.

The tension of the rope is equal in magnitude in whatever segment of the rope..
 

FAQ: Frictionless, horizontal table radius and speed ?

1. What is the concept of frictionless, horizontal table radius and speed?

The concept of frictionless, horizontal table radius and speed refers to a theoretical scenario in which an object is placed on a perfectly flat and smooth surface with no friction present. The radius refers to the distance from the center of the table to the object, and the speed refers to the velocity at which the object travels on the table.

2. Can a frictionless, horizontal table exist in the real world?

No, a frictionless, horizontal table does not exist in the real world as there will always be some level of friction present on any surface. However, scientists use this concept to simplify calculations and understand the effects of friction on objects.

3. How does the radius of the table affect the object's movement?

The radius of the table affects the object's movement by changing the amount of force required to keep it in motion. A larger radius means that the object needs to travel a greater distance to complete one rotation, requiring more force to maintain its speed.

4. How does the speed of the object on a frictionless, horizontal table change over time?

In a frictionless scenario, the speed of the object will remain constant as no external forces are acting on it to change its velocity. However, in the real world, the speed of the object will gradually decrease due to the presence of friction.

5. What factors can affect the radius and speed of an object on a frictionless, horizontal table?

The radius and speed of an object on a frictionless, horizontal table can be affected by the mass of the object, the force applied to it, and any external forces such as air resistance. Additionally, the surface of the table and the level of smoothness can also impact the object's movement.

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