A granite column in a building is 8.00 m high and has a mass of 2.16 x 10* kg. (a) How much heat (in J) is needed to increase its temperature by 9.0°C, given its specific heat is 0.200 kcal/kg.°C? 1.63 10**8 (b) What is its change in length (in m) if its coefficient of linear expansion is 2.50 x 10-6/°C? 1.8*10**-4 v m (c) Calculate the force (in N) it would exert if not allowed to expand, given its cross-sectional area to be 1.00 m2 and the Young's modulus for granite to be 45.0 x 10° N/m2. Note that this force is much larger than the weight it supports, so that it will expand almost freely. 1.01"10"6 (d) How much work (in J) does it perform when it expands, if it supports a mass of 1.00 x 10* kg? (e) What is its change in internal energy (in J)?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter16: Temperature And The Kinetic Theory Of Gases
Section: Chapter Questions
Problem 11OQ
icon
Related questions
Question
A granite column in a building is 8.00 m high and has a mass of 2.16 x 10* kg.
(a) How much heat (in J) is needed to increase its temperature by 9.0°C, given its specific heat is 0.200 kcal/kg.°C?
1.63*10**8
(b) What is its change in length (in m) if its coefficient of linear expansion is 2.50 x 10-0/°C?
1.8*10**-4
(c) Calculate the force (in N) it would exert if not allowed to expand, given its cross-sectional area to be 1.00 m2 and the Young's modulus for granite to be 45.0 x 10° N/m2. Note that this force is
much larger than the weight it supports, so that it will expand almost freely.
1.01*10**6
N
(d) How much work (in J) does it perform when it expands, if it supports a mass of 1.00 x 10* kg?
(e) What is its change in internal energy (in J)?
(f) What is the source of energy for the work performed?
Transcribed Image Text:A granite column in a building is 8.00 m high and has a mass of 2.16 x 10* kg. (a) How much heat (in J) is needed to increase its temperature by 9.0°C, given its specific heat is 0.200 kcal/kg.°C? 1.63*10**8 (b) What is its change in length (in m) if its coefficient of linear expansion is 2.50 x 10-0/°C? 1.8*10**-4 (c) Calculate the force (in N) it would exert if not allowed to expand, given its cross-sectional area to be 1.00 m2 and the Young's modulus for granite to be 45.0 x 10° N/m2. Note that this force is much larger than the weight it supports, so that it will expand almost freely. 1.01*10**6 N (d) How much work (in J) does it perform when it expands, if it supports a mass of 1.00 x 10* kg? (e) What is its change in internal energy (in J)? (f) What is the source of energy for the work performed?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Thermal expansion
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning