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A 0.77 kg mass attached to an ideal spring oscillates horizontally with a period of 0.74 s and amplitude of 0.58 m. What is the spring constant?
A 2.83 kg mass attached to an ideal spring oscillates horizontally with an amplitude of 2.64 m. The spring constant is 59.26 N/m. What is the period of the motion?
A glider attached to one end of a string oscillates given by the displacement function x(t)=0.030cas(4.00t). What is the acceleration of the mass after 4.04 seconds?
A simple pendulum can be used to measure gravitational acceleration. A geophysicist measures the frequency of a 0.22 m long simple pendulum to be 0.57 Hz at a particular location on Earth. What is the gravitational acceleration at that location?
A glider attached to one end of a string oscillates given by the displacement function . What is the displacement of the mass after 1.52 seconds?
Rick wants to know Morty's mass in space. He conducted an experiment by attaching an empty chair to a spring and set it to oscillate, and measured the time after one cycle. Afterwards, he asked Morty to sit on this chair not letting his feet touch the ground, then measured the time after one vibration. Calculate Morty's mass by referring to the data gathered by Rick below:
Empty chair
Time after one cycle: 0.65
Mass: 16.97
Morty sitting on the chair
Time after one cycle: 1.93
Mass: ?
A glider attached to one end of a string oscillates given by the displacement function . What is the velocity of the mass after 1.4 seconds?
Juan wants to know the height of a museum. Inside the museum, he notices a very long simple pendulum extending from the ceiling and almost touching the floor. Remembering his lessons in physics, he realizes that he can estimate the height of the museum from the period of the pendulum’s oscillation. If the pendulum undergoes one complete oscillation in 22.99 seconds, how tall is the tower?
In his garage, Rick conducted an experiment to teach Morty how to calculate a spring's force constant. He attached an air track glider to the end of an ideal spring of neglible mass and set it to oscillate.He then asked Morty to measure the time it takes to pass through the equilibrium point and then the second time it pass through the same point. Below are the data gathered by Morty.
- m= 0.53
- t=1.2
Based on the above observation, what is Morty's calculation of spring's force constant?
A 0.38-kg glider is attached to a horizontal spring with stiffness of 130 N/m. If the equilibrium position is at x = 0, what is the acceleration of the glider at x = 0.12 m?
