Calculating Net Work: A Box Being Pushed Across a Floor

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SUMMARY

The net work done on a box being pushed across a floor is calculated using the formula W(net) = Fd cos(theta). In this scenario, a force of 70 N is applied to the right, while a friction force of 18 N opposes it, resulting in a net force of 52 N. Given a displacement of 8 meters, the net work done is determined to be 416 joules, confirming the calculations are accurate.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with the concept of net force
  • Knowledge of work-energy principles
  • Basic trigonometry for calculating work
NEXT STEPS
  • Study the work-energy theorem in physics
  • Learn about friction forces and their impact on motion
  • Explore vector components in force calculations
  • Investigate real-world applications of net work in mechanical systems
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Students studying physics, particularly those focusing on mechanics, as well as educators looking for examples of net work calculations in applied scenarios.

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Homework Statement


a box is pushed horizontally across a floor with a force of 70 N to the right. There is a friction force also acting on the box in the opposite direction of 18 N. if the box is displaced 8 meters. what is the net work done on the box?

Homework Equations


W(net)= Fd cos (theta)

The Attempt at a Solution


the net forces on the box in the horizontal direction is= 70N - 18N= 52N to the right
Since its moving horizontally, which is 0 degrees. and I am given displacement as 8 meters, and the force calculated above:

w(net)= (52N)(8m) cos (0)
= 416 joules

Does this look right?
 
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Yeah its look like right
 

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