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A 1kg block that is being pushed across a frictionless surface by a non-constant force that is parallel to the block’s velocity. A force (in Newtons) vs. position (in meters) graph appears. A kinetic energy (in Joules) vs. position (in meters) graph is also plotted for the motion. Describe, in words, how you would use the force vs. position graph to obtain a value for the work done on the block after the block has moved a given distance. Be specific!  What distance did you choose when you determined the work in Q1? Describe, in words, how you would use the kinetic energy vs. position graph to obtain the change in kinetic energy of the block after the block has moved a given distance from Q1? How do your answers to Q1 and Q3 compare? What can you conclude?

A 1kg block that is being pushed across a frictionless surface by a non-constant force that is parallel to the block’s velocity. A force (in Newtons) vs. position (in meters) graph appears. A kinetic energy (in Joules) vs. position (in meters) graph is also plotted for the motion. Describe, in words, how you would use the force vs. position graph to obtain a value for the work done on the block after the block has moved a given distance. Be specific!  What distance did you choose when you determined the work in Q1? Describe, in words, how you would use the kinetic energy vs. position graph to obtain the change in kinetic energy of the block after the block has moved a given distance from Q1? How do your answers to Q1 and Q3 compare? What can you conclude?

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A 1kg block that is being pushed across a frictionless surface by a non-constant force that is parallel to the block’s velocity. A force (in Newtons) vs. position (in meters) graph appears. A kinetic energy (in Joules) vs. position (in meters) graph is also plotted for the motion.

  1. Describe, in words, how you would use the force vs. position graph to obtain a value for the work done on the block after the block
    has moved a given distance. Be specific! 
  2. What distance did you choose when you determined the work in Q1?
  3. Describe, in words, how you would use the kinetic energy vs. position
    graph to obtain the change in kinetic energy of the block
    after the block has moved a given distance from Q1?
  4. How do your answers to Q1 and Q3 compare? What can you conclude?
The image contains two graphs side by side. **Left Graph: Force on Block** - Title: "Force on Block" - The vertical axis represents force (labeled as "F") and is measured with tick marks at intervals of 10, ranging from 0 to 40. - The horizontal axis is labeled as "x" with tick marks at 0, 5, 10, 15, 20, and 25. - The graph line is red and shows a linear increase in force, indicating that as 'x' increases, the force on the block also increases proportionally. **Right Graph: Kinetic Energy of Block** - Title: "Kinetic Energy of Block" - The vertical axis represents kinetic energy (labeled as "K") with tick marks at intervals of 200, ranging from 0 to 600. - The horizontal axis is labeled as "x" with tick marks at 0, 5, 10, 15, 20, and 25. - The graph line is red and curves upwards, illustrating that the kinetic energy of the block increases exponentially as 'x' increases. Above the graphs is an illustration of a block being pushed horizontally with a rightward arrow, indicating motion or applied force.
Transcribed Image Text:The image contains two graphs side by side. **Left Graph: Force on Block** - Title: "Force on Block" - The vertical axis represents force (labeled as "F") and is measured with tick marks at intervals of 10, ranging from 0 to 40. - The horizontal axis is labeled as "x" with tick marks at 0, 5, 10, 15, 20, and 25. - The graph line is red and shows a linear increase in force, indicating that as 'x' increases, the force on the block also increases proportionally. **Right Graph: Kinetic Energy of Block** - Title: "Kinetic Energy of Block" - The vertical axis represents kinetic energy (labeled as "K") with tick marks at intervals of 200, ranging from 0 to 600. - The horizontal axis is labeled as "x" with tick marks at 0, 5, 10, 15, 20, and 25. - The graph line is red and curves upwards, illustrating that the kinetic energy of the block increases exponentially as 'x' increases. Above the graphs is an illustration of a block being pushed horizontally with a rightward arrow, indicating motion or applied force.
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