   Chapter 11, Problem 64AP

Chapter
Section
Textbook Problem

An iron plate is held against an iron, wheel so that a sliding frictional force of 50. N acts between the two pieces of metal. The relative speed at which the two surfaces slide over each other is 40. m/s. (a) Calculate the rate at which mechanical energy is converted to internal energy. (b) The plate and the wheel have masses of 5.0 kg each, and each receives 50% of the internal energy. If the system is run as described for 10. s and each object is then allowed to reach a uniform internal temperature, what is the resultant temperature increase?

(a)

To determine
The rate at which mechanical energy is converted to thermal energy.

Explanation

Given Info: The friction force between the two metal surfaces is 50 N and the relative speed between them is 40m/s .

Formula to calculate the rate of energy conversion is,

P=Ffv

• P is the rate of energy conversion,
• Ff is the frictional force between the two metal surfaces,
• v is relative speed between the two metal surface,

Substitute 50 N for Ff and 40m/s for v to find P

(b)

To determine
To resultant temperature increase.

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