3.8. (a) The tension in a wire is increased quasi-statically and isothermally from F; toF. If the length, cross-sectional area, and isothermal Young's modulus of thewire remain practically constant, show that the work done isL2AY (3-3).W(b) The tension in a copper wire 1 m long and 0.001 cm² in area is increased quasi-statically and isothermally at 20°C from 10 to 100 N. How much work is done ifthe isothermal Young's modulus at 20°C is 1.23 × 10!" N/m²?

Hooke's law states that the applied force to the elastic object within its elastic limit is directly…

Answered: (a) The tension in a wire is increased…

Similar questions

Give the change in internal energy of a system if(a) W = 50 J, Q = 50 J; (b) W = -50 J, Q = -50 J; or (c) W = 50 J,Q = -50
What fuel economy should be expected from a gasoline powered car that encounters a total of 443N of resistive forces while driving down the road? (Those forces are from air drag, rolling resistance and bearing losses.) Assume a 30% thermodynamic efficiency.
Critically ill patients in a cardiovascular intensive care unit must be intensely monitored for any number of conditions. One of these conditions is hypoperfusion, which is an overall decrease in blood flow throughout the body. Low stroke volume is one indicator of hypoperfusion. The pressure-volume (PV) graph below shows three possible loops for the heart. The control loop shows a healthy heart while the other two loops show reduced or increased preload (assuming that afterload and contractility remain fixed). 200 LV Pressure (mmHg) 100 Preload Control ↑ Preload 100 LV Volume (ml) (a) What is the stroke volume for the control patient? RK '15 200 (b) A healthy heart rate (HR) is measured as 80 beats per minute. What is the control patient's cardiac output CO? Control patient's CO: mL min
For this problem, let’s apply thermodynamics to elastic materials (e.g., rubberbands). The tension force f exerted by a rubber band depends on both the temperature T and the stretching displacement L. What is the work associated with stretching or contracting a rubber band? [Hint: Recall the definition of work used in physics.]
The engine of a large ship does 1.90 ✕ 108 J of work with an efficiency of 4.05% (a) How much heat transfer (in J) occurs to the environment? (b) How many barrels of fuel are consumed, if each barrel produces 6.00 ✕ 109 J of heat transfer when burned?
An ideal gas is compressed to half its original volume at constant temperature. (a) If 1000 J of energy is removed during the compression, how much work is done on the gas? (b) What is the change in the internal energy of the gas during the compression?
Let's say we have an air parcel at sea level with a volume of 17 cm³ and a density of 5.9 kg m³. What would the total mechanical energy of the parcel be if it were deflected southward at 9 km hrl?
One mole of a monatomic ideal gas is initially at 273 K and 1 atm. (a) What is its initial internal energy? (b) Find its final internal energy and the work done by the gas when 500 J of heat are added at constant pressure. (c) Find the same quantities when 500 J of heat are added at constant volume.
A hot-air balloon is inflated by heating air at constant pressure. Assume the number of air moleculesinside the balloon remains constant and that it expands at atmospheric pressure. (a) How much work does the balloon do to expandagainst atmospheric pressure?
Roughly how high could a 370 K copper ball lift itself if it could transform all of its thermal energy into work? Assume specific heat for copper equal to 386 J/kg K.