# 073 WProblem 3Solve this problem from a previous group work, but with energy/work.When moving to a new apartment, you rent a truck and create a ramp with a 244 cmlong piece of plywood. The top of the ramp lies on the edge of the truck bed at a heightof 115 cm. You load your textbooks into a wooden box at the bottom of the ramp (thecoefficient of kinetic friction between the box and ramp isfriends give the box a quick push and it starts to slide up the ramp. Unfortunatelv, afterletting go, the box only travels 80 cm up the ramp before it starts coming back down!0.2). Then you and a fewACMEμvers244 cm1UScmBooks(A) What is thelost to friction when the box has a travelled distance 80 cm alongenergythe ramp (solve this symbolically with the box having a mass m)?NAME2

Question
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How do you calculate energy lost to friction?

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Step 1

Consider the free body diagram.

Step 2

From the right-angled triangle ABC, the angle θ can be calculated as,

Step 3

Apply force equilibrium along the vertical direction of the ramp, ...

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