Calculating Inclination of an Air Hockey Table

AI Thread Summary
The discussion focuses on a physics problem involving the calculation of the inclination of an air hockey table based on the puck's motion. A student observes that a puck, initially given a velocity of 3.86 m/s, drifts 2.40 cm to the right while maintaining its speed along the table's length. The student correctly identifies that the table is not level and attempts to relate the forces acting on the puck to its motion. The net force acting on the puck is attributed to gravity, which influences its lateral drift without affecting its constant velocity along the table. The conversation highlights the relationship between gravity, inclination, and motion on a frictionless surface.
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Homework Statement


A physics student playing with an air hockey table (a frictionless surface) finds that if she gives the puck a velocity of 3.86 m/s along the length ( 1.79 m) of the table at one end, by the time it has reached the other end the puck has drifted a distance 2.40 cm to the right but still has a velocity component along the length of 3.86 m/s. She concludes correctly that the table is not level and correctly calculates its inclination from the above information.


Homework Equations





The Attempt at a Solution


I don't know how to relate velocity to force. The velocity is constant so all net force equations equal to zero. I have no clue how to really start.
 
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No there is a net force which pulls the puck to the right as it reaches the end of the table. The reason why the net force (gravity) doesn't affect the velocity of the puck is because it acts sideways to the velocity of travel of the puck, much like in circular motion.
 
Defennder said:
No there is a net force which pulls the puck to the right as it reaches the end of the table. The reason why the net force (gravity) doesn't affect the velocity of the puck is because it acts sideways to the velocity of travel of the puck, much like in circular motion.

If I set the coordinate system on the puck (which is on an incline plane), the force of gravity would be the only force acting on it in the x-direction, thus why it moves. Would it equal to zero or ma? It has a constant velocity in one direction.
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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