Ok so I\'ll just give the question word for word. A physicsstudent playing with

Question

Ok so I'll just give the question word for word. A physicsstudent playing with an air hockey table (a frictionless surface)finds that if she gives the puck a velocity of 3.80 m/s along thelength (1.75 m) of the table at one end, by the time it has reachedthe other end the puck has drifted 2.50 cm to the right but stillhas a velocity component along the length of 3.80 m/s. Shecorrectly concludes that the table is not level and correctlycalculates its inclination from the above information. What is theangle of inclination in degrees?
Ireally don't know what I'm doing wrong, but it says the answer is1.38 degrees.
Ireally don't know what I'm doing wrong, but it says the answer is1.38 degrees.

Explanation / Answer

The sideways motion of the puck to the right is similarto that of sliding down an inclined plane. F = m g sin = ma        where F is the sidewaysforce along the plane a = g sin s = 1/2 a t2     where s is thesideways distance moved by the puck a = 2 s / t2 = g sin sin = 2 s / (g t2) t = 1.75 / 3.8 = .460 sec   the time for the puck toreach the end of the table sin = 2 * .025 / (9.8 * .462) = .024 = 1.38 deg

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