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

Answer 1

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

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)

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Answer 2

Amelia Adams

The potential energy of the object is 294.3 joules.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.