Pucks Ends
Pucks Ends
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How to find the angle of a slope with these facts given?
A physics student playing with an air hockey table (a frictionless surface) finds that if she gives the puck a velocity of 3.90 m/s along the length ( 1.76 m) of the table at one end, by the time it has reached the other end the puck has drifted a distance 2.56 cm to the right but still has a velocity component along the length of 3.90 m/s. She concludes correctly that the table is not level and correctly calculates its inclination from the above information.
The time take,
t = 1.76 / 3.9 seconds
During this time, it moves 2.56 cm in the transverse direction.
s = ut + 1/2 at^2
With u = 0, we can get
a = 12.57 cm/s^2
= 0.1257 m/s^2
= g*sinθ
sinθ = 0.0128
θ = 0.734 degrees