F is the weight hanging from the spring and delta(x) is the displacement caused

Question

F is the weight hanging from the spring and delta(x) is the displacement caused by the added masses. All distances are measured from the bottom of the hanger to the top of the table. Ignore the weight of the hanger.

mass (g)           height (cm)          delta(x) (meters)          Force (N)

0                               56.5                            0                                0

100                          46.5                            ?                                ?

200                          36.5                            ?                                ?

300                          25.5                            ?                                ?

400                          15.5                            ?                                ?

500                            5.5                            ?                                ?

Explanation / Answer

Im guessing you are looking for the spring constant?

well displacement at zero is zero

so for a displacement chart you get

kg Force displacement in meters

.1 .98 .01

.2 1.96 .02

.3 2.94 .03

.4 3.92 .041

.5 4.9 .051

take force to be your y axis and displacement to be your x axis

your slope will be your k value.

if you have a graphing calculator you can enter values of x and y into a table under the STAT button

then you can hit 2nd MODE(quit)

then STAT ---> to CALC

then down to Linear Regression

it will calculate the line to be y=95.12x+.0484

therefore your spring constant k=95.12 N/m

Related Questions

Navigate

• Browse (All)
• Browse F
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.