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How does work change the energy of an object?

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Answer
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Hint: The energy in the universe is always conserved. When we work on a system its energy may increase or decrease depending on the nature of work done by us. The net total of all types of energy remains constant for a system though one type of energy may be reduced and another may increase to compensate for the total.

Complete step by step answer:
When we stretch the slingshot, we do work on the rubber by stretching the rubber attached to the y shaped fork when we do work on the rubber by stretching it develops potential energy {this potential energy is the energy to resist deformation} Here we can see that the work increases the energy of the system.
The energy transferred as a result of work being done can be either positive or negative. For example, in the mechanical, work can be done by an applied force to increase the velocity of an object. Work can also be done by friction to oppose the motion of the object and decrease its velocity.
In both cases, the amount of work done in Joules is equal to the change in mechanical energy it results in.

Note:
The work done on an object might also result in an energy change outside the actual mechanical system. For example, the mechanical energy may be converted into an equivalent amount of heat energy, light energy, sound energy, the energy of deformation, etc.
The work done on the object generally leads to an increase in energy of the system and work done by the object may lead to a decrease in the energy of the object.