(a) Explanation Given info: The mass of the car is 1500 kg , the mass of the brakes is 6.00 kg , the velocity of the before the brakes was applied 25.0 m / s , the initial temperature of the brakes is 20.0 ° C ., the internal energy of the system is transformed into the brakes whenever the car stops. The specific heat of the aluminum brakes is 900 J / kg ⋅ °C , the melting point for aluminum is 660 ° C . The formula to calculate the internal energy in brakes is E int = m b c Δ T Here, E int is the internal energy of the system. m b mass of the brakes. c is the specific heat of the aluminum brakes. Δ T is change in temperature. The change in the temperature is the (final melting temperature – the initial temperature) Therefore Δ T = 660°C − 20 .0°C Consider n be the number of times car stopped so n number of times the kinetic energy of the system was transferred in to the brakes. Thus calculate the value of n for which the n times the kinetic energy was stored in the internal energy of the system that is n times the kinetic energy is equal to internal energy n K = E int Here, K is the kinetic energy of the car. Substitute m b c Δ T for E int in equation (1) n K = m b c Δ T (1 The formula to calculate the kinetic energy of the car is K = 1 2 m c v 2 (2) Here, m c is the mass of the car v is the velocity of car (b) To determine The important aspect ignored in part (a) which will be considered in realistic approach.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN: 9781133104261

Author: Raymond A. Serway, John W. Jewett

Publisher: Cengage Learning

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Question

Chapter 17, Problem 18P

(a)

To determine

The number of stops the car made before the brakes start to melt.

(b)

To determine

The important aspect ignored in part (a) which will be considered in realistic approach.

Expert Solution & Answer

Chapter 17 Solutions

Principles of Physics: A Calculus-Based Text

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Ch. 17 - Prob. 4OQ Ch. 17 - Prob. 5OQ Ch. 17 - Prob. 6OQ Ch. 17 - Prob. 7OQ Ch. 17 - Prob. 8OQ Ch. 17 - Prob. 9OQ Ch. 17 - Prob. 10OQ Ch. 17 - Star A has twice the radius and twice the absolute...Ch. 17 - If a gas is compressed isothermally, which of the...Ch. 17 - When a gas undergoes an adiabatic expansion, which...Ch. 17 - Ethyl alcohol has about one-half the specific heat...Ch. 17 - Prob. 15OQ Ch. 17 - Prob. 1CQ Ch. 17 - Prob. 2CQ Ch. 17 - Pioneers stored fruits and vegetables in...Ch. 17 - Why is a person able to remove a piece of dry...Ch. 17 - Prob. 5CQ Ch. 17 - Prob. 6CQ Ch. 17 - It is the morning of a day that will become hot....Ch. 17 - You need to pick up a very hot cooking pot in your...Ch. 17 - Rub the palm of your hand on a metal surface for...Ch. 17 - Prob. 10CQ Ch. 17 - Prob. 11CQ Ch. 17 - Prob. 12CQ Ch. 17 - On his honeymoon, James Joule traveled from...Ch. 17 - Consider Joules apparatus described in Figure...Ch. 17 - Prob. 3P Ch. 17 - Prob. 4P Ch. 17 - Prob. 5P Ch. 17 - Prob. 6P Ch. 17 - Prob. 7P Ch. 17 - Prob. 8P Ch. 17 - Prob. 9P Ch. 17 - Prob. 10P Ch. 17 - Prob. 11P Ch. 17 - Prob. 12P Ch. 17 - Prob. 13P Ch. 17 - Prob. 14P Ch. 17 - In an insulated vessel, 250 g of ice at 0C is...Ch. 17 - Prob. 16P Ch. 17 - Prob. 17P Ch. 17 - Prob. 18P Ch. 17 - A 1.00-kg block of copper at 20.0C is dropped into...Ch. 17 - A resting adult of average size converts chemical...Ch. 17 - Prob. 21P Ch. 17 - Prob. 22P Ch. 17 - An ideal gas is enclosed in a cylinder with a...Ch. 17 - Prob. 24P Ch. 17 - Prob. 25P Ch. 17 - A sample of an ideal gas goes through the process...Ch. 17 - A thermodynamic system undergoes a process in...Ch. 17 - A gas is taken through the cyclic process...Ch. 17 - Consider the cyclic process depicted in Figure...Ch. 17 - Why is the following situation impossible? An...Ch. 17 - An ideal gas initially at 300 K undergoes an...Ch. 17 - In Figure P17.32, the change in internal energy of...Ch. 17 - Prob. 33P Ch. 17 - Prob. 34P Ch. 17 - Prob. 35P Ch. 17 - Prob. 36P Ch. 17 - Prob. 37P Ch. 17 - One mole of an ideal gas does 3 000 J of work on...Ch. 17 - A 1.00-mol sample of hydrogen gas is heated at...Ch. 17 - A sample of a diatomic ideal gas has pressure P...Ch. 17 - Prob. 41P Ch. 17 - Prob. 42P Ch. 17 - Prob. 43P Ch. 17 - Review. This problem is a continuation of Problem...Ch. 17 - Prob. 45P Ch. 17 - A 2.00-mol sample of a diatomic ideal gas expands...Ch. 17 - Prob. 47P Ch. 17 - An ideal gas with specific heat ratio confined to...Ch. 17 - Prob. 49P Ch. 17 - Prob. 50P Ch. 17 - Prob. 51P Ch. 17 - Prob. 52P Ch. 17 - Air (a diatomic ideal gas) at 27.0C and...Ch. 17 - Prob. 54P Ch. 17 - Prob. 55P Ch. 17 - Prob. 56P Ch. 17 - Prob. 57P Ch. 17 - Prob. 58P Ch. 17 - Prob. 59P Ch. 17 - Prob. 60P Ch. 17 - Prob. 61P Ch. 17 - Prob. 62P Ch. 17 - The surface of the Sun has a temperature of about...Ch. 17 - Prob. 64P Ch. 17 - At high noon, the Sun delivers 1 000 W to each...Ch. 17 - A theoretical atmospheric lapse rate. Section 16.7...Ch. 17 - Prob. 67P Ch. 17 - A sample of a monatomic ideal gas occupies 5.00 L...Ch. 17 - An aluminum rod 0.500 m in length and with a...Ch. 17 - Prob. 70P Ch. 17 - Prob. 71P Ch. 17 - Prob. 72P Ch. 17 - Prob. 73P Ch. 17 - Prob. 74P Ch. 17 - Prob. 75P Ch. 17 - Prob. 76P Ch. 17 - Prob. 77P Ch. 17 - Prob. 78P Ch. 17 - Prob. 79P Ch. 17 - Prob. 81P Ch. 17 - Prob. 82P Ch. 17 - Prob. 84P Ch. 17 - Prob. 85P Ch. 17 - Prob. 86P Ch. 17 - Prob. 87P Ch. 17 - Prob. 88P Ch. 17 - Water in an electric teakettle is boiling. The...

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The number of stops the car made before the brakes start to melt.

Solution Summary: The author explains how the internal energy of the system is transformed into the brakes whenever the car stops.

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The number of stops the car made before the brakes start to melt.

The important aspect ignored in part (a) which will be considered in realistic approach.

Chapter 17 Solutions