4.00 2.00 0.00 020 0.40 0.60 0.00 0.80 1.00 1.20 2.00 -4.00 time(s) Figure 2: Position vs. Time- Amara's Oscillator Amara hangs am = 0.05 kg mass on a spring. She starts the mass oscillating in the vertical direction and records position versus time for the oscillator. A plot of these data is shown in Figure 2. (u) x

A harmonic oscillator is made by using a 0.640 kg frictionless block and an ideal spring of unknown force constant. The oscillator is found to have a period of 0.152 s and a maximum speed of 2 m/s a)Find the force constant of the spring. Express your answer in newtons per meter.   b)Find the amplitude of the oscillation. Express your answer in millimeters.

For a simple harmonic oscillator with x = A sin ot write down an expression for the magnitude of acceleration. Please use "*" for products (e.g. B*A), "/" for ratios (e.g. B/A) and the usual "+" and "-" signs as appropriate (without the quotes). For power (e.g. A2) use A^2 or A*A. For trigonometric functions use the usual sin and cos, while for Greek letters such as w, use omega. Please use the "Display response" button to check you entered the answer you expect. a= Display response

For a simple harmonic oscillator with x=Asinωtx=Asin⁡ωt write down an expression for the velocity. Please use "*" for products (e.g. B*A), "/" for ratios (e.g. B/A) and the usual "+" and "-" signs as appropriate (without the quotes). For trigonometric functions use the usual sin and cos, while for Greek letters such as ωω, use omega.

7. A spring with a spring constant of 55 N/m² is set up horizontally on a frictionless surface with a 3.5 kg mass attached to the spring. If the mass is stretched 0.125 m from equilibrium and released from rest then determine the following:

A student plans to measure the Period of oscillation. That student should: A) Start the clock at the equilibrium position and end it at either Amplitude. B) Start the clock at the Amplitude and end it at the opposite Amplitude. C) Start the clock at the equilibrium position and end it at the equilibrium position. D) Start the clock at the Amplitude and end it at the same Amplitude.