A physics student playing with an air hockey table (a frictionless surface) find

Question

A physics student playing with an air hockey table (a frictionless surface) finds that if she gives the puck a velocity of 3.75 m/s along the length ( 1.85 m ) of the table at one end, by the time it has reached the other end the puck has drifted a distance 2.42 cm to the right but still has a velocity component along the length of 3.75 m/s . She concludes correctly that the table is not level and correctly calculates its inclination from the above information.

A) What is the angle of inclination?

Explanation / Answer

Let inclination be with horizontal.

Then accleration along incline = gsin().

Timetaken to reach other end = 1.85/3.75 = 0.493 s

s= (1/2) at2

2.42*10-2 = (1/2) *9.8*sin()*(0.493)2

= 1.164 degrees

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