A 61.8-kg skateboarder starts out with a speed of 1.75 m/s. He does 80.4 J of work on himself by pushing with his feet against the ground. In addition, friction does-221 J of work on him. In both cases, the forces doing the work are non-conservative. The final speed of the skateboarder is 9.19 m/s. (a) Calculate the change (PE-PE) in the gravitational potential energy. (b) How much has the vertical height of the skater changed? Give the absolute value. (a) Number (b) Number Mi Mi Units Units
A 61.8-kg skateboarder starts out with a speed of 1.75 m/s. He does 80.4 J of work on himself by pushing with his feet against the ground. In addition, friction does-221 J of work on him. In both cases, the forces doing the work are non-conservative. The final speed of the skateboarder is 9.19 m/s. (a) Calculate the change (PE-PE) in the gravitational potential energy. (b) How much has the vertical height of the skater changed? Give the absolute value. (a) Number (b) Number Mi Mi Units Units
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Transcribed Image Text:A 61.8-kg skateboarder starts out with a speed of 1.75 m/s. He does 80.4 J of work on himself by pushing with his feet against the
ground. In addition, friction does -221 J of work on him. In both cases, the forces doing the work are non-conservative. The final speed
of the skateboarder is 9.19 m/s. (a) Calculate the change (PEF - PEo) in the gravitational potential energy. (b) How much has the vertical
height of the skater changed? Give the absolute value.
(a) Number
(b) Number i
Units
Units
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Step 1: Define Work-Energy Theorem:
VIEWStep 2: Find the expression for the initial energy and the final energy of the system:
VIEWStep 3: Find the expression for the change in the gravitational potential energy of the person:
VIEWStep 4: Calculate the change in the gravitational potential energy of the system.
VIEWStep 5: Calculate the change in the height:
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