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The Work-Energy Theorem In the preceding discussion we used a calculation of work to derive an expression for the kinetic energy of an object. The
The Work-Energy Theorem In the preceding discussion we used a calculation of work to derive an expression for the kinetic energy of an object. The precise connec- tion we derived between these quantities is known as the work-energy theorem. This theorem can be stated as follows: Work-Energy Theorem The total work done on an object is equal to the change in its kinetic energy: Wheel - AK - me - gray 7-7 Thus, the work-energy theorem says that when a force acts on an object over a distance-doing work on it-the result is a change in the speed of the object, and hence a change in its energy of motion. Equation 7-7 is the quantitative expression of this connection. We have derived the work-energy theorem for a force that is constant in direc- tion and magnitude, but it is valid for any force. In fact, the work-energy theorem is completely general, making it one of the most important and fundamental results in physics. It is also a very handy tool for problem solving, as we shall see many times throughout this text.Question 12 (1 point) Retake question The energy required to increase the speed of a certain car from 15 to 26 m/s is 230 KJ. What is the mass of the car, in kilograms? Use the Work-Energy Theorem (Eq. 7-7). The only unknown in the equation is precisely the mass of the car. Watch for the unit of work in this
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