Math

QuestionThe internal energy of a system is defined as a. the total kinetic energy of the system. b. the total potential energy of the system. c. the sum of the potential and kinetic energies of all the system components. d. the sum of the potential energy minus the sum of the kinetic energy of all the system components. e. None of the above.

Studdy Solution

STEP 1

1. Internal energy is a concept from thermodynamics.
2. It involves both kinetic and potential energy of the particles in a system.

STEP 2

1. Understand the definition of internal energy.
2. Analyze each option.
3. Determine the correct option based on the definition.

STEP 3

Internal energy is defined as the total energy contained within a system. It includes both the kinetic energy due to the motion of particles and the potential energy due to the position of particles within the system.

STEP 4

Analyze option a: "the total kinetic energy of the system." - This option only considers kinetic energy, not potential energy, so it is incomplete.

STEP 5

Analyze option b: "the total potential energy of the system." - This option only considers potential energy, not kinetic energy, so it is incomplete.

STEP 6

Analyze option c: "the sum of the potential and kinetic energies of all the system components." - This option considers both kinetic and potential energies, which aligns with the definition of internal energy.

STEP 7

Analyze option d: "the sum of the potential energy minus the sum of the kinetic energy of all the system components." - This option suggests subtracting kinetic energy from potential energy, which does not match the definition of internal energy.

STEP 8

Analyze option e: "None of the above." - Since option c correctly defines internal energy, option e is not correct.
The correct option is:
c. the sum of the potential and kinetic energies of all the system components. \boxed{\text{c. the sum of the potential and kinetic energies of all the system components.}}

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