A 12 -g lead bullet is shot with a speed of 250 m / s into a wooden wall. Assuming that 75 % of

step 1 question, we have a bullet of mass small M equals to 12 .0 gram, that is 0 .012 clogram and it i

A 12 -g lead bullet is shot with a speed of 250 m / s into...

A 12 -g lead bullet is shot with a speed of $250 \mathrm{~m} / \mathrm{s}$ into a wooden wall. Assuming that $75 \%$ of the kinetic energy is absorbed by the bullet as heat (and $25 \%$ by the wall), what is the final temperature of the bullet?

Key Concepts

Kinetic Energy

Kinetic energy is the energy an object has due to its motion, calculated using the formula (1/2)mv². This concept is fundamental in physics for analyzing moving objects and is essential in determining how much energy is initially available before any transformation occurs, such as conversion to thermal energy during impact.

Energy Transformation

Energy transformation refers to the process by which one form of energy changes into another. In many physical scenarios, kinetic energy can be converted into other forms such as thermal energy during events like collisions, which is critical for understanding how energy is redistributed in an inelastic interaction.

Specific Heat Capacity

Specific heat capacity is a property of a material that indicates the amount of heat required to raise the temperature of a unit mass of the substance by one degree. In thermal processes, this concept is used to relate the amount of absorbed or released heat energy to the resulting change in temperature of the material.

Temperature Change Calculation

The temperature change of a substance can be determined using the relationship ?T = Q/(mc), where Q is the heat energy absorbed, m is the mass of the substance, and c is its specific heat capacity. This calculation is central in calorimetry and is widely applied in determining how much a substance's temperature will increase as it absorbs energy.

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