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Understanding Periodic Motion: Effects of Mass and Length on Pendulum Behavior

This survey explores how variations in the length and mass of a pendulum affect the period of its swing, aligning with fundamental concepts in mechanics related to Hooke's Law and energy. It addresses key questions, including how kinetic energy is influenced by speed changes, the conservation of kinetic energy in elastic and inelastic collisions, and the calculation of average power output. Engage with concepts such as momentum, mechanical work, and the principles governing periodic motion in various physical scenarios.

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Understanding Periodic Motion: Effects of Mass and Length on Pendulum Behavior

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  1. Periodic Motions Student Survey

  2. As the length of a simple pendulum increases, how does this affect the amount of time (or period) per swing? • Time decreases • Time increases • Time remains constant

  3. For Hooke’s Law, the spring force is proportional to … • Length • Time • Energy • momentum

  4. Mechanical work is based upon the product of … • F t • F x • Mv • ma

  5. Kinetic energy describes… • Energy of position • Elastic energy • Energy of motion • Change in momentum

  6. When the speed of a car is tripled (10mph to 30 mph) by what factor does the kinetic energy increase? • 2 • 3 • 6 • 9

  7. The momentum of an object is based upon the product of … • Ma • Ft • Fx • Mv

  8. What are the base units of the watt? • Kg m/s • Kg mm/s • Kg m/ss • Kg mm/sss • Kg mm/ss

  9. Two objects of equal mass collide elastically. The first object moves at a constant speed (1 m/s), the second object is initially at rest. After the collision, what is the speed of each object? • 0 , 1 • 1, 0 • .5, .5 • 2, 0 • 0 , 2

  10. Two objects collide inelastically. The first object moves at a constant speed (1 m/s) and strikes the second object at rest. Find the final combined speed. • 2 • 1 • .5 • .25

  11. In which of the following events is kinetic energy conserved? • An elastic collision • A perfect elastic collision • An inelastic collision • An explosion

  12. Which of the following expression could be used to find a person’s average body power? • Mgh • Mgh/t • ½ mvv/t • ½ mv • μmgh/t

  13. How does an increase in the mass of the pendulum affect the pendulum’s time? • Increases time • Decreases time • Has no affect on the time

  14. As the pendulum is released from higher elevations (due to increasing angle from the vertical), how does this affect the time? • Time increases • Time decreases • Time stays the same no matter where it is released

  15. As a mass suspended from a spring is increased, how does this affect the time per vibration? • Time increases • Time decreases • Time remains constant

  16. As a mass on a spring is released from increasing positions from equilibrium, how does this affect the time for each vibration? 1.Time increases 2. Time decreases 3. Time remains constant

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