Respuesta :
The kinetic energy increases by 10 J
Explanation:
For an isolated system with no frictional force acting on the system, the total mechanical energy of the system remains constant:
[tex]E=KE+PE = const.[/tex]
where
KE is the kinetic energy
PE is the potential energy
Therefore we see that the sum of kinetic energy and potential energy remains constant. This means that we can rewrite the equation as:
[tex]KE_1 + PE_1 = KE_2 + PE_2[/tex]
or
[tex]KE_1 - KE_2 = PE_2 - PE_1\\\Delta KE = -\Delta PE[/tex]
which means that the change in kinetic energy is equal to the negative of the change in potential energy.
Here, the potential energy of the object decreases by 10 J:
[tex]\Delta PE = -10 J[/tex]
Therefore, the change in kinetic energy is:
[tex]KE=-(-10 J)=+10 J[/tex]
So, the kinetic energy increases by 10 J.
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The kinetic energy is increased by 10J
Conservation of energy:
Since there is no frictional force, there is no dissipative force acting on the system, so the total mechanical energy of the system remains constant:
E = KE + PE
where
KE is the kinetic energy
PE is the potential energy
Here E remains conserved.
It means that a change in kinetic energy will be converted into potential energy or a change in potential energy will be converted into kinetic energy, in such a way that the sum of the two always remains constant.
Here, the potential energy of the object decreases by 10 J.
Therefore, the change in kinetic energy will be increased by 10J.
Learn more about conservation of energy:
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