You are a student in a science class that is using the followingapparatus to determine the value of g. Two photogates are used.(Note: You may be familiar with photogates in everyday living. Yousee them in the doorways of some stores. They are designed to ringa bell when someone interrupts the beam while walking through thedoor.) One photogate is located at the edge of a 1.00-m-high tableand the second photogate is located on the floor directly below thefirst photogate. You are told to drop a marble through these gates,releasing it from rest at the same height as the table. The uppergate starts a timer as the ball passes through it. The secondphotogate stops the timer when the ball passes through itsbeam.
(a) Prove that the experimental magnitude of free-fall accelerationis given by gexp = (2(Delta)y)/(delta)t)^2, where (delta)y is thevertical distance between the photogates and ?t is the fall time.(Do this on paper. Your instructor may ask you to turn in thiswork.)
(b) For your setup, what value of (delta symbol)t would you expectto measure, assuming gexp is the standard value (9.81 m/s2)?(Answer in seconds)
(c) During the experiment, a slight error is made. Instead oflocating the first photogate even with the top of the table, yournot-so-careful lab partner locates it 0.50 cm lower than the top ofthe table. However, she does manage to properly locate the secondphotogate on the floor directly below the first. What value of gexpwill you and your partner determine? (Answer in m/s^2)
What percentage difference does this represent from the standardvalue of g?
You are a student in a science class that is using the followingapparatus to determine the value of g. Two photogates are used.(Note: You may be familiar with photogates in everyday living. Yousee them in the doorways of some stores. They are designed to ringa bell when someone interrupts the beam while walking through thedoor.) One photogate is located at the edge of a 1.00-m-high tableand the second photogate is located on the floor directly below thefirst photogate. You are told to drop a marble through these gates,releasing it from rest at the same height as the table. The uppergate starts a timer as the ball passes through it. The secondphotogate stops the timer when the ball passes through itsbeam.
(a) Prove that the experimental magnitude of free-fall accelerationis given by gexp = (2(Delta)y)/(delta)t)^2, where (delta)y is thevertical distance between the photogates and ?t is the fall time.(Do this on paper. Your instructor may ask you to turn in thiswork.)
(b) For your setup, what value of (delta symbol)t would you expectto measure, assuming gexp is the standard value (9.81 m/s2)?(Answer in seconds)
(c) During the experiment, a slight error is made. Instead oflocating the first photogate even with the top of the table, yournot-so-careful lab partner locates it 0.50 cm lower than the top ofthe table. However, she does manage to properly locate the secondphotogate on the floor directly below the first. What value of gexpwill you and your partner determine? (Answer in m/s^2)
What percentage difference does this represent from the standardvalue of g?
