In Example 10.2, if the angle θ = 82.0°, how much work is done by you, in Joule? Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.

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In Example 10.2, if the angle θ = 82.0°, how much work is done by you, in Joule?

Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.

 

 

10.2 Work Done in Pulling a Suitcase
It's 120 m from one gate to another in the airport. You use a strap inclined upward at a 45° angle to pull your suitcase
through the airport. The tension in the strap is 20 N. How much work do you do?
STRATEGIZE Let's take the system to be the suitcase + floor. As with the dog sled, friction forces (in the wheels or
between the wheels and the floor) are internal forces. Both the strap and you are forces outside the system. The
tension force of the strap does work on the suitcase as it rolls. Since you are the one pulling the strap, this is,
ultimately, energy provided by you.
PREPARE Figure 10.8 O is a before-and-after visual overview showing the suitcase and the strap. The force is at an
angle to the displacement, so we must use Equation 10.6 O to calculate the work.
FIGURE 10.8 A suitcase pulled by a strap.
Before:
After:
Known
T- 30 N
6= 45°
d=120m
Eind
SOLVE The tension force does work
W = Td cos 0 = (20 N)(120 m) cos(45°) = 1700 J
Transcribed Image Text:10.2 Work Done in Pulling a Suitcase It's 120 m from one gate to another in the airport. You use a strap inclined upward at a 45° angle to pull your suitcase through the airport. The tension in the strap is 20 N. How much work do you do? STRATEGIZE Let's take the system to be the suitcase + floor. As with the dog sled, friction forces (in the wheels or between the wheels and the floor) are internal forces. Both the strap and you are forces outside the system. The tension force of the strap does work on the suitcase as it rolls. Since you are the one pulling the strap, this is, ultimately, energy provided by you. PREPARE Figure 10.8 O is a before-and-after visual overview showing the suitcase and the strap. The force is at an angle to the displacement, so we must use Equation 10.6 O to calculate the work. FIGURE 10.8 A suitcase pulled by a strap. Before: After: Known T- 30 N 6= 45° d=120m Eind SOLVE The tension force does work W = Td cos 0 = (20 N)(120 m) cos(45°) = 1700 J
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