C ) Pull mass down till PE (gravity) = PE (elastic) (magnify energy diagram to do it precisely). Hold it there. Up is + (positive) and down is negative direction. Assume center of mass t be center of gravity. Determine the following (give both magnitude and direction) X =_ V = weight (in N) The mass is not moving because a force is applied to hold it down before releasing. How big is this force(in Newton) ? 3) Data Attach mass to the spring and pull it down and let it oscillate. Use slow. Use stop watch to measure time for 5 complete oscillation and determine time period T ( for a single oscillation) Table: Period T as function of m Mass m(grams) Time for 5 oscillations (s) T(s) T2 ( $ 2 ) 300.0 224.0 145.0 83.0 1111 1 1 60.0 1 1 1 1 55.0 50.0 4) Graphs The theory suggests that mass oscillation on a spring can be represented by T = 2n/m/k To make the data appear linear represented by an equation y = A x + B where A will be slope and B will be y-intercept, you need to choose your variables for plotting to be y: Tz ; x: m. Make a graph (next page) (Read lab policy sheet for more details and follow all the rules for a graph) and after plotting all the data draw the best fit line to the data (do not connect the dots). Choose 2 points on this line (NOT DATA POINTS _ _no-no-no) and determine the slope of the line. Show your slope determination on the graph - clearly showing the 2 points chosen for slope. Write T= 2n m/k by squaring it and recognize what the slope will be when written as a linear equation. Write the slope (see previous paragraph) in terms of constant multiplying x part and solve for k. Plug in the slope value with units and determine k (theory). Calculate % error between k (measured) ( see page 1 in 2(a)) and k(theory). Use k(theory as accepted value). Show details below. % error=