A 1kg-block oscillates on a spring with spring constant 20 N/m on a frictionless surface. At t = 0 s the block is 20 cm to the right from the equilibrium position, moving to the left with a speed of 100 cm/s. Determine: (a) How do we simplify this situation? (i.e. what assumptions do we make about the mass of the spring and the type of surface that the mass is moving across?) (b) Sketch/model the situation indicating the positive direction and the initial conditions. (c) Calculate the period of the oscillation. (d) Calculate the total energy of the system. (e) Calculate the amplitude. (f) Calculate the phase angle.

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A 1kg-block oscillates on a spring with
spring constant 20 N/m on a frictionless
surface. At t = 0 s the block is 20 cm to
the right from the equilibrium position,
moving to the left with a speed of 100
cm/s. Determine:
(a) How do we simplify this situation? (i.e.
what assumptions do we make about
the mass of the spring and the type of
surface that the mass is moving across?)
(b) Sketch/model the situation indicating
the positive direction and the initial
conditions.
(c) Calculate the period of the oscillation.
(d) Calculate the total energy of the
system.
(e) Calculate the amplitude.
(f) Calculate the phase angle.
Transcribed Image Text:A 1kg-block oscillates on a spring with spring constant 20 N/m on a frictionless surface. At t = 0 s the block is 20 cm to the right from the equilibrium position, moving to the left with a speed of 100 cm/s. Determine: (a) How do we simplify this situation? (i.e. what assumptions do we make about the mass of the spring and the type of surface that the mass is moving across?) (b) Sketch/model the situation indicating the positive direction and the initial conditions. (c) Calculate the period of the oscillation. (d) Calculate the total energy of the system. (e) Calculate the amplitude. (f) Calculate the phase angle.
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