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Xiaoxuan Liu asked Determination of the acceleration of free fall using electromagnet and 2 light gates?
A steel sphere is released from an electromagnet and falls under gravity. As it falls, it passes through 2 light gates which switch an electronic timer on and off. Now we know how long a freely falling object takes to pass through a known distance, assuming air resistance is negligible. So how is the acceleration of free fall calculated? I need equations! thanks!
And got the following answer:
d1 is distance from top to first light gate d2 is distance from top to second light gate t is time recorded by timer d1 = 1/2gt_1^2 d2 = 1/2gt_2^2 t_1 = sqrt(2*d1/g) t_2 = sqrt(2*d2/g) t = t_2 - t_1 t = sqrt(2*d2/g) - sqrt(2*d1/g) g = (2 (2 sqrt(d1) sqrt(d2)+d1+d2))/t^2