What is the gravitational potential energy of a # 9 kg# object on a shelf # 2/3 m # high?

Answer 1

#PE_g = 176J#

Gravitational potential energy is proportional to the mass of an object (the more mass the more energy), and the height above some reference point (the higher the object the more energy), where the constant of proportionality is #g# - the acceleration due to gravity. This can be written as the equation:

#PE_g = m*g*h#

where #g = 9.8m//s^s# on Earth. Plugging in the values from the question we get

#PE_g = 9kg*9.8m//s^2 * 2/3 m = 176kg*m^2 //s^2 = 176J#

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Answer 2

Adam Arnold

The gravitational potential energy of a 9 kg object on a shelf 2/3 m high is approximately 58.8 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.