A hat that weighs 5 newtons is hanging from a hook 1.5 meters above the floor. how much gravitational potential energy does the hat have?

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Answer 1 · 2018-04-09T22:52:57

$7.5 J$

$PE =mgh$

Since $F=mg$ in this case

$PE= Fh$

$PE= 5 N*1.5 m= 7.5 J$

Answer 2 · 2018-04-10T12:59:37

$7.5$ joules

Gravitational potential energy is given through the equation,

$"GPE"=mgh$

$m$ is the mass of the object in kilograms

$g$ is the gravitational acceleration in meters per second

$h$ is the height of the object in meters

We know that weight is given by $W=mg$ , so the equation becomes,

$"GPE"=W*h$

We have the weight of the object and the height it's placed on, so we can plug that into the equation, and get,

$"GPE"=5 \ "N"*1.5 \ "m"$

$=7.5 \ "J"$