Question

Table 9-1. Determination of a spring constant. Spring Stretched Mass Weight (gcm's) Spring Constant (9) 50 100 15 cm 250 40 cm 5. Write a force equation below for the stationary mass: 7 2 Solve the equation for the spring constant k. b. Calculate the value of the spring constant for each value of the mass and record the result in Table 9-1. Show a sample calculation below. c Calculate the average value of the spring constant and record the result below. Show your work: - Spring constant #] = Next, we wish to explore further the meaning of the spring constant. To do this, we will alter the value of the spring constant for spring #2 and witness the consequences The control of interest is the spring strength 2" slide bar. The default should be in the center, and makes the spring constant for spring #2 the same as it is for the other two Springs.

Answer 1

5.

There are two forces on mass when it is stationary, mg and spring constant kx:

So,

F = mg - kr

for stationary mass

a)

Spring constant

T бш Г

b) For m = 50 g

$k = \frac{(50)(9.8 \times 10^2)}{5}$

For mass m = 100g

$k = \frac{(100)(9.8 \times 10^2)}{15}$

For m = 250 g

$k = \frac{(250)(9.8 \times 10^2)}{40}$

Part c)

average spring constant

$k_{avg} = \frac{9800+6533.33+6125}{3}$