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Figure R 0 VK من M N 2 of 2 How much time t does the block take to travel from the point of maximum displacement to the opposite point of maximum displacement? Express your answer in seconds. 195] ΑΣΦ Part I ? 8 What distance d does the object cover during one period of oscillation? Express your answer in meters.

Figure R 0 VK من M N 2 of 2 How much time t does the block take to travel from the point of maximum displacement to the opposite point of maximum displacement? Express your answer in seconds. 195] ΑΣΦ Part I ? 8 What distance d does the object cover during one period of oscillation? Express your answer in meters.

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I need help with parts G-J please.

## Educational Transcription: Oscillations and Wave Motion ### Background Explanation In this problem, we explore the fundamental concepts of oscillations and the relationships among the relevant quantities. An oscillating object is subject to restoring forces, which always act toward the equilibrium position and are proportional to the displacement from this position. Mathematically, the restoring force \( \vec{F} \) is described by \( \vec{F} = -kz \), where \( z \) is the displacement from equilibrium and \( k \) is a system-dependent constant. The resistive forces within the system should be minimal. ### Problem Analysis We will analyze some basic quantities that describe oscillatory motion, including period, time of travel between maximum displacements, and distance covered during oscillation. ### Tasks #### Part G - **Question**: What is the period \( T \)? - **Instruction**: Express your answer in seconds. - **Answer Box**: \( T = \_\_\_\_ \) s #### Part H - **Question**: How much time \( t \) does the block take to travel from the point of maximum displacement to the opposite point of maximum displacement? - **Instruction**: Express your answer in seconds. - **Answer Box**: \( t = \_\_\_\_ \) s #### Part I - **Question**: What distance \( d \) does the object cover during one period of oscillation? - **Instruction**: Express your answer in meters. - **Answer Box**: \( d = \_\_\_\_ \) m ### Diagram Explanation #### Figure Description The figure depicts a sinusoidal wave representing the oscillatory motion, spanning horizontal axes labeled as \( x \) from points Q to R. The vertical axis shows displacement, denoting positions K, L, N, and P, correlating to different phases of a wave cycle. Key points include: - **Point R**: Represents the maximum positive displacement. - **Point Q**: Indicates the maximum negative displacement. - **Points K, L, N, and P**: Correspond to various intermediate positions within the cycle, illustrating the oscillation’s symmetry. ### Assumed Conditions For the given parts (G - J), assume: - The \( x \) coordinate of point R is 0.12 m. - The \( t \) coordinate of point K is 0.0050 s.
Transcribed Image Text:## Educational Transcription: Oscillations and Wave Motion ### Background Explanation In this problem, we explore the fundamental concepts of oscillations and the relationships among the relevant quantities. An oscillating object is subject to restoring forces, which always act toward the equilibrium position and are proportional to the displacement from this position. Mathematically, the restoring force \( \vec{F} \) is described by \( \vec{F} = -kz \), where \( z \) is the displacement from equilibrium and \( k \) is a system-dependent constant. The resistive forces within the system should be minimal. ### Problem Analysis We will analyze some basic quantities that describe oscillatory motion, including period, time of travel between maximum displacements, and distance covered during oscillation. ### Tasks #### Part G - **Question**: What is the period \( T \)? - **Instruction**: Express your answer in seconds. - **Answer Box**: \( T = \_\_\_\_ \) s #### Part H - **Question**: How much time \( t \) does the block take to travel from the point of maximum displacement to the opposite point of maximum displacement? - **Instruction**: Express your answer in seconds. - **Answer Box**: \( t = \_\_\_\_ \) s #### Part I - **Question**: What distance \( d \) does the object cover during one period of oscillation? - **Instruction**: Express your answer in meters. - **Answer Box**: \( d = \_\_\_\_ \) m ### Diagram Explanation #### Figure Description The figure depicts a sinusoidal wave representing the oscillatory motion, spanning horizontal axes labeled as \( x \) from points Q to R. The vertical axis shows displacement, denoting positions K, L, N, and P, correlating to different phases of a wave cycle. Key points include: - **Point R**: Represents the maximum positive displacement. - **Point Q**: Indicates the maximum negative displacement. - **Points K, L, N, and P**: Correspond to various intermediate positions within the cycle, illustrating the oscillation’s symmetry. ### Assumed Conditions For the given parts (G - J), assume: - The \( x \) coordinate of point R is 0.12 m. - The \( t \) coordinate of point K is 0.0050 s.
**Figure Explanation** This image presents a sinusoidal wave graph, labeled as Figure. The graph has the following elements: - **Axes**: The horizontal axis is labeled as "t," and the vertical axis is labeled as "x." - **Sinusoidal Wave**: The wave oscillates above and below the horizontal axis. - **Horizontal Lines**: Two dashed horizontal lines show key points of the oscillation. The line at the peak is labeled "R," and the line at the trough is labeled "Q." - **Points on the Graph**: Several points labeled K, L, M, N, and P are marked at various positions along the wave. **Graph Analysis** This graph represents the motion of an object undergoing simple harmonic motion. The points K, L, M, N, and P identify specific moments in this oscillation, useful for analyzing the distances covered by the object. --- **Part I** _Question_: What distance \( d \) does the object cover during one period of oscillation? _Instruction_: Express your answer in meters. \[ d = \ \_\_\_\_ \ \text{m} \] --- **Part J** _Question_: What distance \( d \) does the object cover between the moments labeled K and N on the graph? _Instruction_: Express your answer in meters. \[ d = \ \_\_\_\_ \ \text{m} \]
Transcribed Image Text:**Figure Explanation** This image presents a sinusoidal wave graph, labeled as Figure. The graph has the following elements: - **Axes**: The horizontal axis is labeled as "t," and the vertical axis is labeled as "x." - **Sinusoidal Wave**: The wave oscillates above and below the horizontal axis. - **Horizontal Lines**: Two dashed horizontal lines show key points of the oscillation. The line at the peak is labeled "R," and the line at the trough is labeled "Q." - **Points on the Graph**: Several points labeled K, L, M, N, and P are marked at various positions along the wave. **Graph Analysis** This graph represents the motion of an object undergoing simple harmonic motion. The points K, L, M, N, and P identify specific moments in this oscillation, useful for analyzing the distances covered by the object. --- **Part I** _Question_: What distance \( d \) does the object cover during one period of oscillation? _Instruction_: Express your answer in meters. \[ d = \ \_\_\_\_ \ \text{m} \] --- **Part J** _Question_: What distance \( d \) does the object cover between the moments labeled K and N on the graph? _Instruction_: Express your answer in meters. \[ d = \ \_\_\_\_ \ \text{m} \]
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