A 70 -g metal block moving at 200 cm / s slides across a tabletop a distance of 83 cm before i

step 1 we have to find the value of temperature range of the block some values are given such that the

A 70 -g metal block moving at 200 cm / s slides across a...

A 70 -g metal block moving at $200 \mathrm{~cm} / \mathrm{s}$ slides across a tabletop a distance of $83 \mathrm{~cm}$ before it comes to rest. Assuming 75 percent of the thermal energy developed by friction goes into the block, how much does the temperature of the block rise? For the metal, $c=$ $0.106 \mathrm{cal} / \mathrm{g} \cdot{ }^{\circ} \mathrm{C}$

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Key Concepts

Kinetic Energy

Kinetic energy is the energy possessed by an object due to its motion. In problems like this, it is calculated using the mass and velocity of the object, and it represents the initial energy that will later be converted into other forms like heat via friction.

Work Done by Friction

Work done by friction is the process through which kinetic energy is dissipated as heat while an object slides across a surface. The distance over which the force of friction acts plays a key role in determining how much energy is converted.

Energy Conversion and Partition

In many physical scenarios, the energy lost from an object is not entirely converted into a single form at a given location; sometimes, only a fraction goes into a particular body or system. This partitioning is crucial when determining how much energy actually contributes to changes like temperature rises.

Specific Heat Capacity

Specific heat capacity is a property of a material that indicates how much heat energy is required to raise the temperature of a unit mass of that substance by one degree Celsius. It provides a direct relationship between the amount of heat absorbed or lost and the resulting temperature change.

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