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2. An elevator with full capacity of 900 kg goes up to the 5th level, which is 30 m
above the ground. What is the elevator’s gain in gravitational potential energy
assuming the elevator is fully loaded?
Given:
Asked:
Formula:
Substitution/Computation:
Final Answer:


Sagot :

[tex]\tt{\huge{\blue{Explanation:}}}[/tex]

The gravitational potential energy of an object is given by

[tex]\boxed{GPE = mgh}[/tex]

where:

GPE = gravitational potential energy

m = mass

g = acceleration due to gravity = 9.8 m/s²

h = height

[tex]\tt{\huge{\red{Solution:}}}[/tex]

Solving for GPE

GPE = mgh

GPE = (900 kg)(9.8 m/s²)(30 m)

[tex]\boxed{GPE = \text{264,600 J}}[/tex]

Therefore, the gravitational potential energy of the elevator is 264,600 J.

[tex]\\[/tex]

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