Posted by Alice on Wednesday, July 24, 2013 at 9:50pm.
A granite column in a building is 8.50 m high and has a mass of 2.16 multiplied by 104 kg.
(a) How much heat (J) is needed to increase its temperature by 10.5°C, given its specific heat is 0.200 kcal/kg·°C?
(b) What is its change in length (m) if its coefficient of linear expansion is 2.50 multiplied by 10-6/°C?
(c) Calculate the force (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 multiplied by 109 N/m2. Note that this force is much larger than the weight it supports, so that it will expand almost freely.
(d) How much work (J) does it perform when it expands, if it supports a mass of 1.00 multiplied by 104 kg?
(e) What is its change in internal energy(J)?
- physics - Elena, Thursday, July 25, 2013 at 3:03pm
m = ρV=837.36
(a) Q=mcΔT=2.1610⁴837.3610.5=1.910⁸ J
(b) α = 2.510⁻⁶ /℃
ΔL = αLΔT = 2.510⁻⁶8.510.5=2.2310⁻⁴ m
(c) E= 4510⁹ N/m²,
F/A = EΔL/L
F= AEΔL/L =
W= m₀gΔL =110⁴9.82.2310⁻⁴=21.85 J
(e) ΔU = W+Q = 21.85+ 1.910⁸ ≈1.910⁸ J
Answer This Question
More Related Questions
- Physics - How man joules are required to increase the temperature of 1 kg of ...
- physics - Radioactive decay of granite and other rocks in Earth's interior ...
- physics - 135.2 J of heat energy are transferred to 24.75 g of mercury. By how ...
- Chem - A 4.44 kg piece of granite with a specific heat of 0.803 J g-1 °C-1 and ...
- intro to physical science - the specific heat of granite is 0.80 KJ/kg . c. I f ...
- physics - A container holds 1.1 g of oxygen at a pressure of 7.40 atm . How much...
- physics - A prospector finds a solid rock composed of granite ( = 2650 kg/m3) ...
- Physics - How do I find out how much heat it takes to raise the temperature of ...
- Chemistry - 'Place the letter of th item in Column II on th line before its best...
- physics - water has a specific heat of 4184 j(kg K). How much energy is needed ...