A Students set up an experiment by attaching an ideal vertical spring to a support and hanging a block of known mass from the spring. The students pull the block down and release it from rest. The students then measure the period of the block's oscillation. This procedure is repeated for several trials using the same spring but with blocks of different known masses. The students are instructed to create a linear graph using the mass m of each block and the period T of the block's motion. The slope of the graph will be used to calculate the force constant k of the spring. Which of the following best indicates how the students should create their linear graph and how k can be calculated from the slope of the graph? B Fillllllll Ⓒ k Graph T on the vertical axis and m on the horizontal axis; set k = 27 slope Graph T2 on the vertical axis and m on the horizontal axis; set k - Graph T on the vertical axis and m² on the horizontal axis; set k = Graph T² on the vertical axis and m on the horizontal axis; set k = Graph T on the vertical axis and m² on the horizontal axis; set k - 47² slope slope 47² slope 4π² 47² slope
A Students set up an experiment by attaching an ideal vertical spring to a support and hanging a block of known mass from the spring. The students pull the block down and release it from rest. The students then measure the period of the block's oscillation. This procedure is repeated for several trials using the same spring but with blocks of different known masses. The students are instructed to create a linear graph using the mass m of each block and the period T of the block's motion. The slope of the graph will be used to calculate the force constant k of the spring. Which of the following best indicates how the students should create their linear graph and how k can be calculated from the slope of the graph? B Fillllllll Ⓒ k Graph T on the vertical axis and m on the horizontal axis; set k = 27 slope Graph T2 on the vertical axis and m on the horizontal axis; set k - Graph T on the vertical axis and m² on the horizontal axis; set k = Graph T² on the vertical axis and m on the horizontal axis; set k = Graph T on the vertical axis and m² on the horizontal axis; set k - 47² slope slope 47² slope 4π² 47² slope
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Transcribed Image Text:(B)
llllllll
Students set up an experiment by attaching an ideal vertical spring to a support and hanging a block of
known mass from the spring. The students pull the block down and release it from rest. The students then
measure the period of the block's oscillation. This procedure is repeated for several trials using the same
spring but with blocks of different known masses. The students are instructed to create a linear graph
using the mass m of each block and the period T of the block's motion. The slope of the graph will be
used to calculate the force constant k of the spring. Which of the following best indicates how the
students should create their linear graph and how k can be calculated from the slope of the graph?
E
k
Graph T on the vertical axis and m on the horizontal axis; set k =
2π
slope
Graph T² on the vertical axis and m on the horizontal axis; set k
Graph T on the vertical axis and m² on the horizontal axis; set k
Graph T² on the vertical axis and m on the horizontal axis; set k
Graph T on the vertical axis and m² on the horizontal axis; set k
||
=
4772
slope
slope
472
slope
47²
47²
= slope
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