General question about potential energy

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An increase in potential energy is not always associated with a decrease in speed, as it depends on the reference frame of the observer. In some systems, such as rockets, potential energy can increase while velocity also increases, provided energy is supplied. However, in a closed system with a time-independent potential and no substructure, an increase in potential energy typically results in a decrease in velocity. The relationship between potential energy and speed is complex and influenced by the specific conditions of the system. Understanding these dynamics is crucial for analyzing motion under conservative forces.
ehabmozart
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I have a general question. Is an increase in potential energy always associated with the decrease of the speed whatever the situation is. Vice verca, is a decrease in potential energy associated with the increase in the speed of the object assuming that only conservative forces are present? Thanks for anyone who contributes with ideas
 
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Is an increase in potential energy always associated with the decrease of the speed whatever the situation is.
Depends on your view of the system.

Speed depends on the reference frame - a deceleration in one system can be an acceleration in another.

Rockets can increase their potential energy and their velocity (relative to the ground) at the same time, but they need energy for that.


If you have an object without substructure in a closed system in a time-independent potential, an increase in potential energy always gives a reduced velocity.
 

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