Part A The initial and final states of the toolbox are illustrated in the figure. Identify the initial speed v; of the toolbox and the vertical distance h through which the toolbox moves.(Figure 1) Enter the initial speed and the height symbolically in terms of the variables given in the problem introduction (m a A fi n and d

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Chapter1: Units, Trigonometry. And Vectors
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This homework question has really been stumping me. Help would be greatly appreciated, thanks!

Learning Goal:
To practice Problem-Solving Strategy 7.3 Conservation of
energy with nonconservative forces.
While a roofer is working on a roof that slants at 0 = 36.0
degrees above the horizontal, he accidentally nudges his m
= 8.50 kg toolbox, causing it to start sliding downward,
starting from rest. A frictional force of magnitude fk = 22.0 N
acts on the toolbox as it slides. If the box starts d = 4.25 m
from the lower edge of the roof, how fast v will the toolbox be
moving just as it reaches the edge of the roof? Assume that
the acceleration due to gravity is g = 9.80 m/s².
Figure
Initial
state
h
田
AA
0
1 of 1
Final
state
Problem Solving Strategy 7.3 Conservation of energy with nonconservative forces
SET UP
1. Identify the system you will analyze, and decide on the initial and final states (positions and velocities) you will use in solving the problem.
Draw one or more sketches showing the initial and final states.
= 0).
2. Define your coordinate system, particularly the zero points for gravitational and elastic potential energies (the point at which y =
3. List the initial and final kinetic and potential energies (K₁, Kƒ, U¡, and Uƒ) and identify any nonconservative forces. Write an expression
for the work, Wother, done by the nonconservative forces.
SOLVE
4. Use the general expression
for conservation of energy and solve to find the unknown quantity.
REFLECT
5. Does your answer make sense? Did friction slow the object down? Did any pushing forces speed the object up? Can you explain any
negative signs?
SET UP
Before writing any equations, organize your information and draw appropriate diagrams.
Part A
U₁ + Ki + Wother = Uƒ + Kf
The initial and final states of the toolbox are illustrated in the figure. Identify the initial speed v₁ of the toolbox and the vertical distance h through
which the toolbox moves. (Figure 1)
Enter the initial speed and the height symbolically in terms of the variables given in the problem introduction (m, g, 0, fk, v and d),
separated by a comma.
View Available Hint(s)
Vi, h =
VE ΑΣΦ
?
Transcribed Image Text:Learning Goal: To practice Problem-Solving Strategy 7.3 Conservation of energy with nonconservative forces. While a roofer is working on a roof that slants at 0 = 36.0 degrees above the horizontal, he accidentally nudges his m = 8.50 kg toolbox, causing it to start sliding downward, starting from rest. A frictional force of magnitude fk = 22.0 N acts on the toolbox as it slides. If the box starts d = 4.25 m from the lower edge of the roof, how fast v will the toolbox be moving just as it reaches the edge of the roof? Assume that the acceleration due to gravity is g = 9.80 m/s². Figure Initial state h 田 AA 0 1 of 1 Final state Problem Solving Strategy 7.3 Conservation of energy with nonconservative forces SET UP 1. Identify the system you will analyze, and decide on the initial and final states (positions and velocities) you will use in solving the problem. Draw one or more sketches showing the initial and final states. = 0). 2. Define your coordinate system, particularly the zero points for gravitational and elastic potential energies (the point at which y = 3. List the initial and final kinetic and potential energies (K₁, Kƒ, U¡, and Uƒ) and identify any nonconservative forces. Write an expression for the work, Wother, done by the nonconservative forces. SOLVE 4. Use the general expression for conservation of energy and solve to find the unknown quantity. REFLECT 5. Does your answer make sense? Did friction slow the object down? Did any pushing forces speed the object up? Can you explain any negative signs? SET UP Before writing any equations, organize your information and draw appropriate diagrams. Part A U₁ + Ki + Wother = Uƒ + Kf The initial and final states of the toolbox are illustrated in the figure. Identify the initial speed v₁ of the toolbox and the vertical distance h through which the toolbox moves. (Figure 1) Enter the initial speed and the height symbolically in terms of the variables given in the problem introduction (m, g, 0, fk, v and d), separated by a comma. View Available Hint(s) Vi, h = VE ΑΣΦ ?
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