Answer :
The work done moving the barn's sliding door 8 feet is 17 lbs * 8 ft = 136 foot-pounds.
To find the work done moving the barn's sliding door, we need to calculate the component of the applied force in the direction of motion. The force of 34 lbs acting at an angle of 60 degrees can be divided into two components: one in the direction of motion and the other perpendicular to it. The component in the direction of motion is given by the equation Fcosθ, where F is the force magnitude and θ is the angle.
In this case, the component in the direction of motion is 34 lbs * cos(60°) = 17 lbs. Work is defined as the force applied over a distance, so multiplying the force component by the distance moved gives us the work done.
Therefore, the work done moving the barn's sliding door 8 feet is 17 lbs * 8 ft = 136 foot-pounds.
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