Net work done on boat by locomotives

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SUMMARY

The net work done on the boat by the two locomotives is calculated using the formula for work, which is the product of force and displacement in the direction of the force. Given that the tension in each cable is 6,000 N and the angle of pull is 16.0°, the effective force contributing to the work done on the boat is determined by the cosine of the angle. The total distance the boat is pulled is 5.00 km, leading to a definitive calculation of the net work done.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Basic knowledge of trigonometry, specifically cosine functions
  • Familiarity with the work-energy principle
  • Ability to perform unit conversions (e.g., kilometers to meters)
NEXT STEPS
  • Calculate the effective force using the formula: F_effective = Tension * cos(Angle)
  • Convert the distance from kilometers to meters for accurate calculations
  • Apply the work formula: Work = F_effective * Distance
  • Explore examples of work done in physics involving multiple forces
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and work-energy principles, as well as educators looking for practical examples of force and work calculations.

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Homework Statement



The drawing shows a boat being pulled by two locomotives through a canal of length 5.00 km. The tension in each cable is 6.00 103 N, and = 16.0°. What is the net work done on the boat by the two locomotives?


Homework Equations





The Attempt at a Solution

 
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