An essentially weightless shove is 120 cm long.  Someone holds it horizontally, supporting it with their left hand at the shovel's center of gravity and their right hand 80.0 cm to the right of the c.g.  The shovel contains a 20.0-N rock whose c.g. is 8.00 cm to the right of the edge of the shovel.  How much force does the person exert down on the handle?   [+(0.80m)(F)] + [-(0.08m)(20.0N)]=0 F=1.6Nm/0.80m -> F = 2.0N, but the answer key says it should be 8.0N.  Where is my error?

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Chapter1: Units, Trigonometry. And Vectors
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An essentially weightless shove is 120 cm long.  Someone holds it horizontally, supporting it with their left hand at the shovel's center of gravity and their right hand 80.0 cm to the right of the c.g.  The shovel contains a 20.0-N rock whose c.g. is 8.00 cm to the right of the edge of the shovel.  How much force does the person exert down on the handle?  

[+(0.80m)(F)] + [-(0.08m)(20.0N)]=0

F=1.6Nm/0.80m -> F = 2.0N, but the answer key says it should be 8.0N.  Where is my error?

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