A hat weighing #5"N"# is placed on a hook #1.5"m"# above the ground. What is the potential energy of the hat?

1 Answer
Dec 23, 2016

Answer:

#U_g=7.5J#

Explanation:

Gravitational potential energy is given as

#U_g=mgh#

where #m# is the mass of the object, #h# is the object's height above the ground (surface of the earth), and #g# is the free-fall acceleration constant, #9.8m/s^2#.

We're given the weight of the hat, however, not the mass. The weight of a stationary object is given as the force of gravity acting upon it, which is the product of its mass and #g#.

#W=vecF_g=mg#

So, #mg=5N# and #h=1.5m#

#=>U_g=(5N)(1.5m)=7.5Nm=7.5J#