A 1.0 x 102-kg steel support rod in a building has a length of 2.0 m at a temperature of 20.0°C. The rod supports a hanging load of 6.0 x 103 kg. Find (a) the work done on the rod as the temperature increases to 40.0°C, (b) the energy Q added to the rod (assume the specific heat of steel is the same as that for iron), and (c) the change in internal energy of the rod.

A 1.0 x 102-kg steel support rod in a building has a length of 2.0 m at a temperature of 20.0°C. The rod supports a hanging load of 6.0 x 103 kg. Find (a) the work done on the rod as the temperature increases to 40.0°C, (b) the energy Q added to the rod (assume the specific heat of steel is the same as that for iron), and (c) the change in internal energy of the rod.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter12: The Laws Of Thermodynamics

Section: Chapter Questions

Problem 67AP

See similar textbooks

Similar questions

A class of 10 students taking an exam has a power output per student of about 200 W. Assume the initial temperature of the room is 20°C and that its dimensions are 6.0 m by 15.0 m by 3.0 m. What is the temperature of the room at the end of 1.0 h if all the energy remains in the air in the room and none is added by an outside source? The specific heat of air is 837 J/kg . °C, and its density is about 1.3 x 10-3 g/cm3.
A class of 13 students taking an exam has a power output per student of about 200 W. Assume the initial temperature of the room is 20°C and that its dimensions are 7.0 m by 17.4 m by 3.0 m. What is the temperature of the room at the end of 1.0 h if all the energy remains in the air in the room and none is added by an outside source? The specific heat of air is 1.01 ✕ 103 J/kg · °C, and its density is about 1.2 10-3 g/cm3. C
A crate of fruit with a mass of 31.0 kg and a specific heat capacity of 3600j/(kgxk) slides 8.40m down a ramp inclined at an angle of 39.4 degrees below horizontal. if the crate was at rest at the top of the incline and has a speed of 2.85 m/s at the bottom, how much work wf was done on the crate by friction? if an amount of heat equal to the magnitude of the work done by friction is absorbed by the crate of fruit and the fruit reaches a uniform final temperature what is its temperature change?
A glass window in a home is 0.62cm thick and has dimensions of 1 m x 2 m. On a certain day, the temperature of the interior surface of the glass is 25ºC and the exterior surface temperature is 0ºC. The rate at which energy is transferred by heat through the glass is __ W (hint: k for glass is 0.8 J/msºC, answer in watts ) The energy transferred through the window in one day, assuming the temperatures on the surfaces remain constant, is __ J.
What is the change in internal energy of a system which does 4.50 X 105 J of work while 3.00 X 106 J of heat transfer occurs in a system, and 8.00 X 106 J of heat transfers to the environment?
A 56 kW electric furnace measures 1.2m x 1.3m x 0.7m. When the temperature inside the furnace is 1613 ºC, a block of aluminum with a mass of 283 kg and a temperature of 18 ºC is placed inside. Assuming the heat loss from the furnace walls is 529 W/m, how long (in min) will it take to heat the block to the furnace temperature? (Specific heat of aluminum is 0.90 kJ/kg. K)
An unknown material, m1 = 0.35 kg, at a temperature of T1 = 94 degrees C is added to a Dewer (an insulated container) which contains m2 = 1.4 kg of water at T2 = 21 degrees C. Water has a specific heat of cw = 4186 J/(kg⋅K). After the system comes to equilibrium the final temperature is T = 33.9 degrees C. 1. Input an expression for the specific heat of the unknown material. 2. What is the specific heat in J/(kg⋅K)?
What is the change in internal energy (in J) of a system that does 4.50 ✕ 105 J of work while 3.00 ✕ 106 J of heat transfer occurs into the system, and 7.00 ✕ 106 J of heat transfer occurs to the environment?
What is the change in internal energy of a system which does 4.50×105J of work while 3.00×106 J of heat transfer occurs into the system, and 8.00×106 J of heat transfer occurs to the environment?
A 68 kg cyclist is pedaling down the road at 15 km/h, using a total metabolic power of 480 W. A certain fraction of this energy is used to move the bicycle forward, but the balance ends up as thermal energy in his body, which he must get rid of to keep cool. On a very warm day, conduction, convection, and radiation transfer little energy, and so he does this by perspiring, with the evaporation of water taking away the excess thermal energy. To keep from overheating, the cyclist must get rid of the excess thermal energy generated in his body. If he cycles at this rate for 2 hours, how many liters of water must he perspire, to the nearest 0.1 liter?A. 0.4 L B. 0.9 L C. 1.1 L D. 1.4 L
A 68 kg cyclist is pedaling down the road at 15 km/h, using a total metabolic power of 480 W. A certain fraction of this energy is used to move the bicycle forward, but the balance ends up as thermal energy in his body, which he must get rid of to keep cool. On a very warm day, conduction, convection, and radiation transfer little energy, and so he does this by perspiring, with the evaporation of water taking away the excess thermal energy. As he cycles at a constant speed on level ground, at what rate is chemical energy being converted to thermal energy in his body, assuming a typical efficiency of 25% for the conversion of chemical energy to the mechanical energy of motion?A. 480 W B. 360 W C. 240 W D. 120 W
A 68 kg cyclist is pedaling down the road at 15 km/h, using a total metabolic power of 480 W. A certain fraction of this energy is used to move the bicycle forward, but the balance ends up as thermal energy in his body, which he must get rid of to keep cool. On a very warm day, conduction, convection, and radiation transfer little energy, and so he does this by perspiring, with the evaporation of water taking away the excess thermal energy. If the cyclist reaches his 15 km/h cruising speed by rolling down a hill, what is the approximate height of the hill?A. 22 m B. 11 m C. 2 m D. 1 m