Relate the frequency and period of a mass undergoing simple harmonic motion to the spring constant and the mass of the vibrating object.
A spring has a a spring constant of 90.6 N/m. Calculate the amount of force that would be required to stretch it a distance of 10.7 cm.
Force
N
A 27.3-N weight is hung from a vertical spring that has a spring constant of 134 N/m. How far (in cm) will the weight stretch the spring?
Stretch Distance
cm
Noah Formula has just determined that a 42.0-N object hung on the end of a spring causes it to stretch a distance of 13.6 cm. What is the spring constant of the spring?
Spring Constant
N/m
A 100.0.0-gram air track glider is attached to a spring having a spring constant of 37.9 N/m. With what frequency will the glider oscillate if set into vibrational motion?
Frequency
Hz
During the Vibrations unit, Mr. Ricelander gave each lab group a spring and challenged them to determine the spring constant and then to select a mass to hang from the spring so that it oscillates up and down with a period of 1.0 seconds. Laquinta and Jamar determine the spring constant to be 37.0 N/m. What mass (in grams) should they choose to hang from the spring in order to meet the challenge?
Mass
g
On Day 1 of Physics class, students who enter Ms. Sterling's classroom observe a cardboard sign reading Physics is Phun vibrating up and down in the corner of the room. The sign is attached to a weight and hung on a spring with a spring constant of 62.1 N/m. The mass of the sign and accompanying weight is 0.412 kg. What is the frequency of the sign's vibration?
A 0.231-kg mass is hung from a vertical spring and observed to oscillate up and down with a period of 1.83 seconds. What is the spring constant of the spring?