It is easy to calculate your change in gravitational potential energy in an elevator. Suppose you have a mass and the elevator takes you up to a height above the ground level. The force that would need to raise you is equal to your weight, i.e., . The work done by this force is

The work done is equal to the energy transferred, which is just your gain in potential energy. Thus the expression for the gravitational potential energy of an object is given by



 
Fig. 3-1 The Ocean Park Tower

 Example

A boy of 40 kg is raised to the top of the Ocean Park Tower. If the height of the tower is 72 m, what is his change in potential energy?

Solution



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Fig. 3-2 Escalator in the Ocean Park

 Example

A section of the escalator in the Ocean Park has a length of 63.5 m (Fig. 3-2). The track makes an angle of 30with the horizontal. What is the gain in potential energy of a person of mass 50 kg in taking the escalator?

Solution


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