A 31.0 cm long spring is hung vertically from a ceiling and stretches to 37.7 cm when an 8.00 kg mass is hung from its free end. HINT (a) Find the spring constant (in N/m). N/m (b) Find the length of the spring (in cm) if the 8.00 kg weight is replaced with a 175 N weight. cm

If a force of 33.6 N is applied to a spring, with a spring constant of 138.2 N/m, how far will it stretch ( in meters)?

A point with mass m is a distance d from the end of a bar, which we'll call x = 0. The mass-per-length > of the bar is low at one end and steadily increases toward the other end at x = L like λ = bx. m = 0.9 kg d = 12 cm L = 56 cm b = 2.6 × 1012 kg/m² Find F [N] = L d x=0

A clock has a pendulum that performs one full swing every 1.14 s (back and forth). The object at the end of the pendulum weighs 10.0 N. What is the length of the pendulum?

An ornament of mass 41.4 g is attached to a vertical ideal spring with a force constant (spring constant) of 13.6 N/m. The ornament is then lowered very slowly until the spring stops stretching. How much does the spring stretch?

Mass Attached (kg) = .055 kg Spring Force (N) = .54 N Displacement (m) = .18 Spring Constant (N/m) = ? Spring Constant is, k = mg/x

A mass m at the end of a spring oscillates with a frequency of 0.78 Hz. When an additional 770 g mass is added to m, the frequency is 0.61 Hz. What is the value of m?

An object with a mass of 7.03 kg is attached to the lower end of an ideal spring and lowered gently.  If the spring constant of the spring in 520 N/m then how far in meters, did the lower end of the spring move as the object was being lowered?  d=?

A mass weighing 20 pounds stretches a spring 6 inches. The mass is initially released from rest from a point 8 inches below the equilibrium position. (a) Find the position x of the mass at the times t = n/12, n/8, n/6, a/4, and 97/32 s. (Use g = 32 ft/s? for the acceleration due to gravity.) X(1/12) = -0.33 X ft x(x/8) = -0.66 X ft x(л/6) %3 -0.33 X ft x(T/4) = 0.66 X ft x(9x/32) = 0.47 X ft (b) What is the velocity of the mass when t = 37/16 s? 16 ft/s 3 In which direction is the mass heading at this instant? upward downward (c) At what times does the mass pass through the equilibrium position? 16 4 X , n = 0, 1, 2, +

16. If your experimental value is g = 9.65 m/s² and the theoretical value is g = 9. 80 m/s², what is your percent error (in %)? 17. Suppose you hang a 20-g mass from a spring and it stretches 2.3 cm. What is the spring constant (in N/m) of this spring? 18. What mass (in grams) would stretch the same spring 3.2 cm?