Q: A concrete slab is $0.20\ \mathrm{m}$ wide at $22^\circ\mathrm{C}$. If the temperature rises to $49^\circ\mathrm{C}$, by how much does the width change? Use $\alpha = 13 \times 10^{-6}\ \mathrm{K}^{-1}$.

$7.0 \times 10^{-5}\ \mathrm{m}$

Question 1

A mass oscillates on a frictionless surface according to $x(t) = (6\ \mathrm{cm}) \cos[(12.57\ \mathrm{rad/s}) t]$. What is the frequency of the oscillation?

Accepted Answer

$2.0\ \mathrm{Hz}$

Question 2

Given the same oscillating mass, what is the period of its motion?

Accepted Answer

$0.5\ \mathrm{s}$

Question 3

A concrete slab is $0.20\ \mathrm{m}$ wide at $22^\circ\mathrm{C}$. If the temperature rises to $49^\circ\mathrm{C}$, by how much does the width change? Use $\alpha = 13 	imes 10^{-6}\ \mathrm{K}^{-1}$.

Accepted Answer

$7.0 	imes 10^{-5}\ \mathrm{m}$

Question 4

When a Galileo thermometer is brought from a hot environment into a cooler air-conditioned room, what happens to the volume and density of the liquid inside?

Accepted Answer

Volume decreases, density increases

Question 5

A $0.210\ \mathrm{kg}$ chunk of silver at $90.5^\circ\mathrm{C}$ is placed in water at $25.1^\circ\mathrm{C}$. The system reaches equilibrium at $28.2^\circ\mathrm{C}$. What equation should be used to find the mass of water?

Accepted Answer

$m_{w}c_{w}\Delta T_{w} = -m_{Ag}c_{Ag}\Delta T_{Ag}$

Question 6

Calculate the position of the mass at $t = 0.4\ \mathrm{s}$ for $x(t) = (6\ \mathrm{cm}) \cos[(12.57\ \mathrm{rad/s}) t]$.

Accepted Answer

$1.86\ \mathrm{cm}$

Question 7

A $0.20\ \mathrm{m}$ wide concrete slab expands on a hot day. Which physical property determines the amount of expansion?

Accepted Answer

Linear expansion coefficient $\alpha$

Question 8

What is the rate of heat transfer through a concrete slab ($0.10\ \mathrm{m} 	imes 0.20\ \mathrm{m}$, thickness $2 	imes 10^{-2}\ \mathrm{m}$) when the temperature difference is $27\ \mathrm{K}$ and $k = 2.5\ \mathrm{W/m\cdot K}$?

Accepted Answer

$68\ \mathrm{W}$

Question 9

Which equation correctly relates Celsius and Kelvin temperatures?

Accepted Answer

$T_C = T_K - 273$

Question 10

A $0.237\ \mathrm{kg}$ mass of water is heated from $25.1^\circ\mathrm{C}$ to $28.2^\circ\mathrm{C}$. How much heat is absorbed? ($c_{water} = 4190\ \mathrm{J/kg\cdot K}$)

Accepted Answer

$3,129\ \mathrm{J}$

Question 11

Which formula describes the rate of heat transfer through a slab?

Accepted Answer

$\frac{Q}{\Delta t} = \frac{kA}{L} \Delta T$

Question 12

If the temperature of a liquid decreases, what happens to its volume and density?

Accepted Answer

Volume decreases, density increases

Question 13

Which equation would you use to calculate the energy required to melt ice?

Accepted Answer

$|Q| = mL_{fusion}$

Question 14

A $0.210\ \mathrm{kg}$ chunk of silver cools from $90.5^\circ\mathrm{C}$ to $28.2^\circ\mathrm{C}$. How much heat does it lose? ($c_{Ag} = 235\ \mathrm{J/kg\cdot K}$)

Accepted Answer

$3,075\ \mathrm{J}$

Question 15

Which of the following best describes the energy flow when a hot metal is placed in cooler water and reaches equilibrium?

Accepted Answer

Thermal energy flows from the metal to the water until both reach the same temperature

Question 16

Which property of water makes it effective for moderating temperature changes in thermal equilibrium experiments?

Accepted Answer

High specific heat capacity

Question 17

A $0.20\ \mathrm{m}$ wide concrete slab expands by $7.0 	imes 10^{-5}\ \mathrm{m}$ on a hot day. What is the new width?

Accepted Answer

$0.20007\ \mathrm{m}$

Question 18

Which equation describes the change in volume of a material due to temperature change?

Accepted Answer

$\Delta V = \beta V_i \Delta T$

PHY 151 Quiz 4: Oscillations, Thermal Expansion, Heat Transfer, and Calorimetry – Step-by-Step Study Guidance

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