A block attached to a horizotal spring oscillates on a frictionless surface, the x-t graph of the block is shown below. At t = 1.5 s, which of the following is maximum? Select all apply. speed the magnitude of the acceleration the magnitude of the spring force kinetic energy of the block spring potential energy of the spring none of the above

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Chapter1: Units, Trigonometry. And Vectors
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A block attached to a horizotal spring oscillates on a frictionless surface, the x-t graph of the block is shown below. At t = 1.5 s, which of the following is maximum? Select all apply.

   

speed

   

the magnitude of the acceleration

   

the magnitude of the spring force

   

kinetic energy of the block

   

spring potential energy of the spring

   

none of the above

The image displays a graph illustrating a sinusoidal wave, which is commonly used to represent oscillatory motion. 

**Axes Description:**
- The horizontal axis, labeled as \( t \), represents time in seconds (s), and it ranges from 0 to 2.0 seconds.
- The vertical axis, labeled as \( x \), represents displacement in centimeters (cm), ranging from -12 cm to 12 cm.

**Graph Details:**
- The wave starts at 12 cm when \( t = 0 \) seconds, descends to -12 cm at around \( t = 1.0 \) second, and returns back to 12 cm by \( t = 2.0 \) seconds.
- The shape is symmetric and periodic, characteristic of a sine or cosine wave.
- The point of maximum displacement on the positive side is 12 cm, and the point of maximum negative displacement is -12 cm.
- The wave crosses the horizontal axis at approximately \( t = 0.5 \) seconds and \( t = 1.5 \) seconds, indicating zero displacement at these times. 

This graph is useful for studying simple harmonic motion, common in physics and engineering contexts. The periodic nature reflects a repeated cycle of motion over equal time intervals.
Transcribed Image Text:The image displays a graph illustrating a sinusoidal wave, which is commonly used to represent oscillatory motion. **Axes Description:** - The horizontal axis, labeled as \( t \), represents time in seconds (s), and it ranges from 0 to 2.0 seconds. - The vertical axis, labeled as \( x \), represents displacement in centimeters (cm), ranging from -12 cm to 12 cm. **Graph Details:** - The wave starts at 12 cm when \( t = 0 \) seconds, descends to -12 cm at around \( t = 1.0 \) second, and returns back to 12 cm by \( t = 2.0 \) seconds. - The shape is symmetric and periodic, characteristic of a sine or cosine wave. - The point of maximum displacement on the positive side is 12 cm, and the point of maximum negative displacement is -12 cm. - The wave crosses the horizontal axis at approximately \( t = 0.5 \) seconds and \( t = 1.5 \) seconds, indicating zero displacement at these times. This graph is useful for studying simple harmonic motion, common in physics and engineering contexts. The periodic nature reflects a repeated cycle of motion over equal time intervals.
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