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The diagram at right is a plot of the kinetic energy of a horizontal block-spring system as a function of the position of the block (where the equilibrium position of the block is at x = 0). The block oscillates with an amplitude of A = 5 m. K (Joules) 16 A. On the blank graph below, sketch the potential energy of the block-spring system. Note that the graph has the same scale as the original graph above. x (me U (Joules) B. Determine what fraction of the total energy is the potential energy at the following points (i.ce., Etot a. x = 0 m x (me b. x = 3 m

The diagram at right is a plot of the kinetic energy of a horizontal block-spring system as a function of the position of the block (where the equilibrium position of the block is at x = 0). The block oscillates with an amplitude of A = 5 m. K (Joules) 16 A. On the blank graph below, sketch the potential energy of the block-spring system. Note that the graph has the same scale as the original graph above. x (me U (Joules) B. Determine what fraction of the total energy is the potential energy at the following points (i.ce., Etot a. x = 0 m x (me b. x = 3 m

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The diagram at right is a plot of the kinetic energy of a horizontal block-spring system as a function of the position of the block (where the equilibrium position of the block is at x = 0). The block oscillates with an amplitude of A = 5 m. K (Joules) 16 A. On the blank graph below, sketch the potential energy of the block-spring system. Note that the graph has the same scale as the original graph above. -x (meters) +5 U(Joules) B. Determine what fraction of the total energy is the potential energy at the following points 16 (i.e., Etot a. x= 0m -x (meters) b. x = 3 m C. At what position is the kinetic energy equal to the potential energy (i.e., K(x) = U(x))?
Transcribed Image Text:The diagram at right is a plot of the kinetic energy of a horizontal block-spring system as a function of the position of the block (where the equilibrium position of the block is at x = 0). The block oscillates with an amplitude of A = 5 m. K (Joules) 16 A. On the blank graph below, sketch the potential energy of the block-spring system. Note that the graph has the same scale as the original graph above. -x (meters) +5 U(Joules) B. Determine what fraction of the total energy is the potential energy at the following points 16 (i.e., Etot a. x= 0m -x (meters) b. x = 3 m C. At what position is the kinetic energy equal to the potential energy (i.e., K(x) = U(x))?
D. Suppose that the block was replaced by a block with half the mass and was released K (Joules) from rest at x = 5 m. What is the total 16 energy of the block-spring system in this case? x (meters) +5 E. On the graph above, sketch a plot of the kinetic energy as a function of position. F. Suppose instead that the original block was released from rest at x = 2.5 m, so it oscillates with an amplitude of A = 2.5 m. What is the total energy of the block-spring system in this case? K (Joules) x (meters) G. On the graph above, sketch a plot of the kinetic energy as a function of position.
Transcribed Image Text:D. Suppose that the block was replaced by a block with half the mass and was released K (Joules) from rest at x = 5 m. What is the total 16 energy of the block-spring system in this case? x (meters) +5 E. On the graph above, sketch a plot of the kinetic energy as a function of position. F. Suppose instead that the original block was released from rest at x = 2.5 m, so it oscillates with an amplitude of A = 2.5 m. What is the total energy of the block-spring system in this case? K (Joules) x (meters) G. On the graph above, sketch a plot of the kinetic energy as a function of position.
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