Life Cycles Short Answer
| # | Answer |
|---|---|
| 1 | A cycle is one complete sequence of a repeated process that returns to the starting point or condition. |
| 2 | Examples include the motion of a pendulum, the orbit of a satellite, or the oscillation of a spring-mass system. |
| 3 | Periodic motion repeats at regular time intervals, while non-periodic motion does not repeat in a regular pattern. |
| 4 | Frequency is the number of cycles completed per second. |
| 5 | The period is the time taken to complete one full cycle. |
| 6 | The frequency is 2 Hz. |
| 7 | The period is 0.2 s. |
| 8 | Frequency and period are inversely related: frequency equals 1 divided by period, and period equals 1 divided by frequency. |
| 9 | It completes 4 cycles. |
| 10 | It completes 8 cycles. |
| 11 | Amplitude is the maximum displacement of the system from its equilibrium position. |
| 12 | It is the central position where the net restoring force is zero. |
| 13 | Increasing amplitude increases the energy of the system. |
| 14 | The restoring force is the spring force, directed toward the equilibrium position. |
| 15 | Because energy is lost to air resistance and friction, which dissipate mechanical energy as heat and sound. |
| 16 | Energy is continually lost to resistive forces, so external energy input is needed to maintain the amplitude. |
| 17 | The wavelength is 4 m. |
| 18 | Wave speed equals frequency times wavelength: v = fλ. |
| 19 | The frequency is 25 Hz. |
| 20 | The wavelength is halved. |
| 21 | Resonance is the large increase in amplitude that occurs when a system is driven at or near its natural frequency. |
| 22 | It can be useful for selecting specific frequencies in devices, but dangerous because large oscillations can damage structures. |
| 23 | The machine may undergo resonance and vibrate with a much larger amplitude. |
| 24 | A playground swing can move higher when pushed at the right timing, matching its natural frequency. |
| 25 | Damping is the reduction of amplitude over time due to energy loss. |
| 26 | Heavier damping causes the oscillations to die out faster, so there are fewer visible cycles. |
| 27 | Kinetic energy is greatest near equilibrium where speed is highest, while potential energy is greatest at maximum displacement. |
| 28 | Its speed is greatest at the equilibrium position because the potential energy has been converted into kinetic energy. |
| 29 | Energy continuously changes between kinetic and potential forms, but the total mechanical energy remains constant. |
| 30 | A better statement is: a cycle is one complete repeated sequence of motion or process that returns the system to its starting state or position after a regular interval. |