1. (3 pts) Consider Procedure A. Suppose you place a 20.0-g mass on the end of a

Question

1. (3 pts) Consider Procedure A. Suppose you place a 20.0-g mass on the end of a spring and end of the spring moves from a position 0.462m above the table to a position 0.370m above the table. What is the spring constant of the spring? (Show your work)

2. (1 pt) Consider Procedure D. Suppose your spring has a mass of 11.4 g, your weight holder has a mass of 2.8 g, and you place a 15.0-g mass on the weight holder. What is the value for the effective mass that you would use in Procedure D? (Show your work. See the lab writeup for the definition of effective mass.)

3. (2 pts) Suppose you pull down on the mass from Question 2, set the system into oscillation and find that the system has a period of oscillation equal to 0.94 s. Calculate the spring constant using the effective mass from Question 2 and the period of oscillation. (Show your work)

Explanation / Answer

1) compression is x = 0.462-0.370 = 0.092 m

Force F = m*g = 20*10^-3*9.8 =0.196 N

then spring constant is k = F/x = 0.196/0.092 = 2.13 N/m

2) effective mass mo = mass of the spring / 3 = 11.4/3 = 3.8 g

3) T = 2*pi*sqrt((mo+m)/k)

T = 2*3.142*sqrt((3.8+17.8)*10^-3/k) = 0.94

spting constant k = 0.965 N/m

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

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