If the kinetic energy of a sample increases, the ____ will also increase.

A)potential energy
B)temperature
C)chemical energy
D)nuclear energy

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To answer this question, you need to understand the relationships between different types of energy.

The kinetic energy of an object depends on its mass and velocity. It can be calculated using the formula E=1/2mv^2, where E represents kinetic energy, m is the mass of the object, and v is its velocity.

If the kinetic energy of a sample increases, it means that either its mass or its velocity has increased, or both.

Now, let's consider the given options and how they relate to the increase in kinetic energy:

A) Potential energy: This refers to the energy an object possesses due to its position or state. It is separate from kinetic energy and is not directly affected by changes in kinetic energy. Therefore, an increase in kinetic energy does not necessarily mean an increase in potential energy.

B) Temperature: Temperature is a measure of the average kinetic energy of the particles in a substance. When the kinetic energy increases, it means the particles are moving faster on average, implying an increase in temperature. Therefore, an increase in kinetic energy correlates with an increase in temperature.

C) Chemical energy: Chemical energy is the energy stored in the bonds between atoms in molecules. It is a form of potential energy and is separate from kinetic energy. Therefore, an increase in kinetic energy does not necessarily mean an increase in chemical energy.

D) Nuclear energy: Nuclear energy is the energy stored in the nucleus of an atom. It is also a form of potential energy and is not directly related to changes in kinetic energy. Thus, an increase in kinetic energy does not necessarily mean an increase in nuclear energy.

Based on the explanations above, the correct answer is B) temperature. An increase in kinetic energy will lead to an increase in the average kinetic energy of the particles in the sample, indicating an increase in temperature.