MESH INTERNATIONAL – SIMPLE HARMONIC MOTION (ALP A2) CT 1. When a family of four (total mass of 200 kg) stepped into their 1200 kg car, the car’s springs compressed 5 cm. What is the spring constant of the car’s springs assuming they act as one single spring? _____________________________________________________________________ _____________________________________________________________________ _____________________________________________________________________ ________________________________________[2] 2. Imagine that you videotape the motion of a mass attached to a spring and measure the displacement x from the equilibrium position as a function of time t. When you plot position, velocity and acceleration as a function of time you get the following graphs. SHK Page 1
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MESH INTERNATIONAL – SIMPLE HARMONIC MOTION (ALP A2) CT
1. When a family of four (total mass of 200 kg) stepped into their 1200 kg car, the car’s springs compressed 5 cm. What is the spring constant of the car’s springs assuming they act as one single spring?___________________________________________________________________________________
2. Imagine that you videotape the motion of a mass attached to a spring and measure the displacement x from the equilibrium position as a function of time t. When you plot position, velocity and acceleration as a function of time you get the following graphs.
3. When a 0.50 kg-object is attached to a vertically supported spring, it stretches 0.10 m. It is then pulled another 0.10 m from its new equilibrium position. Find, for this mass-spring system, the:
a. period ___________________________________________________________________________________
MESH INTERNATIONAL – SIMPLE HARMONIC MOTION (ALP A2) CT
4. An object with mass m = 0.60 kg attached to a spring with k = 10 N/m vibrates back and forth along a horizontal frictionless surface. If the amplitude of the motion is 0.050 m, what is the velocity of the object when it is 0.010 m from the equilibrium position?
8. In the diagram to the right, a block is attached to a Hookean spring. The spring is neither stretched nor compressed at position C. Assume that frictional effects are negligible. The velocity vs. time graph below represents the motion of the block as it oscillates between positions A and E. Fill in the boxes with the correct positions corresponding to the graph shown. On the axes indicated, sketch the corresponding position, acceleration, force, kinetic energy, elastic energy, and total energy vs. time graphs. (12 marks)
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MESH INTERNATIONAL – SIMPLE HARMONIC MOTION (ALP A2) CT
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