What is the potential energy of an object with a mass of #"3 kg"# at a height of #"10 m"#?

1 Answer
Jan 20, 2016

Answer:

#"PE"_"grav"="300 Joules"#

Explanation:

Potential energy due to gravity is the energy possessed by a body due to its vertical position (height). The equation for determining potential energy due to gravity is #"PE"_"grav"=mxxgxxh"#, where #m# is mass in kg, #g# is the acceleration due to gravity, and #h# is the vertical position (height) in meters.

Given/Known
#m="3 kg"#
#g="9.81 m/s"^2"#
#h="10 m"#

Unknown
#"PE"_"grav"#

Solution
Substitute the given and known values into the equation.

#"PE"_"grav"=mxxgxxh"#

#"PE"_"grav"=3"kg"xx9.81"m/s"^2xx10"m"#

#"PE"_"grav" =300"kg·m"^2/"s"^2"="300"N·m"="300 Joules"# (rounded to one significant figure)