Question

A spring is stretched and the work recorded as shown in the table below. Work Stretch (joules) (m) 0.350 0.10 1.40 0.20 3.15 0.30 5.60 0.40 8.75 0.50 12.6 0.60 17.2 0.70 Graph this data to find the spring constant, k, of the spring. Give your answer in N/m. Hint #1: What is the formula work and spring displacement? Hint #2: You can cut and paste the table into a spreadsheet to save time! . This data is NOT linear. You'll need to add a column and modify the data to graph a straight line or graph the actual data and pick the correct type of trend line.

Answer 1

Solution A sfuing is stretched and work secooked as shown in the table below Work Stretch Formula of Worldone in stretching (Joules) (m) spring a distance & from its rest position is 0.350 oilo 1.40 0.20 Ź kx² 3.15 0.30 2 5.60 0.40 8.75 12.6 17.2 0.50 0.60 If Wepring 0.70 then 2 to you W. spring K-Spring Constant. = 0.350 J and x=0.com 0.350 = 1 k(oolo)? K = 0.350x2 (0.10) 2 Mence K= 70 N/m Similarly of Warring = 140 J & x = 0,20 m (from table) then 0.140 = 1K (0.2) 0.140x2 -70 Nm T0.2002 ka 70 N/m Similarly each value of Work and stretch (x) from the table will give k = to Nom Hence Spring Constant k = 70 N/m 2 2 K =