How Do You Calculate Power and Work in Physics Problems?

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SUMMARY

The discussion centers on calculating power and work in physics, specifically using the equation W=F*v*t*cos(theta) to determine work done on a baseball. Participants emphasize the necessity of taking the time derivative of this equation to find power, highlighting that variables such as force (F), velocity (v), and angle (theta) are functions of time. The conversation also touches on the relationship between total work and kinetic energy, asserting that a foundational understanding of calculus is essential for solving these problems, despite some claims that calculus is not required for the course.

PREREQUISITES
  • Understanding of the work-energy principle in physics
  • Familiarity with the equation W=F*v*t*cos(theta)
  • Basic knowledge of calculus, particularly derivatives
  • Concept of kinetic energy and its relation to work
NEXT STEPS
  • Study the principles of calculus, focusing on differentiation
  • Learn how to apply the work-energy theorem in physics problems
  • Explore the relationship between work and kinetic energy in detail
  • Practice solving physics problems involving time-dependent variables
USEFUL FOR

Students in introductory physics courses, particularly those tackling mechanics and energy concepts, as well as educators seeking to clarify the importance of calculus in physics applications.

ACLerok
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The answer to the first part of one of the problems is:
W=F*v*t*cos(theta)
The second asks me to take the time derivative of this equation in order to find the power produced. How do I do this??

Also, say a baseball leaves a pitcher's hand at a speed of v and the mass of the baseball is M_baseball. You can ignore air resistance. What is the work done on the ball by the guy??
 
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Which terms are functions of time?
 
f, v, and theta should all be functions of time (usually t). Simply take the derivative with respect to t.

For the second part of the problem, you can use the fact that the total work is equal to the kinetic energy of the ball.
 
sorry, I've never taken calculus.. i don't undersatnd what youa re saying/
 
Your original statement of the problem was "The second asks me to take the time derivative of this equation in order to find the power produced."

If you have never taken calculus then you cannot do this problem and probably should not be taking this course.
 
can u please just tell me the answer?? my prof. says calculus is not required for my physics course. its just that we haven't covered this material yet and I'm moving ahead..

anyone?
 
Last edited:

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