Learning Goal: A 1290 -kg car is pushing an out-of-gear 2200 -kg truck that has a dead battery. When the driver steps on the accelerator, the drive wheels of the car push horizontally against the ground with a force of 4580 N. The rolling friction of the car can be neglected, but the heavier truck has a rolling friction of 755 N, including the "friction" of turning the truck's drivetrain. What is the magnitude of the force the car applies to the truck?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Assuming that the car pushes the truck to the right, which of the following free-body diagrams is the correct diagram for the situation described in this problem? In each case, the diagram on the left refers to the car, and that on the right to the truck.
Dashed lines connect action/reaction pairs. The following notation is used: f, ñ, and FG are, respectively, friction, normal force, and gravity; subscripts C and T stand for "acting on car" and "acting on truck"; FConT is the force exerted on the truck by
the car; and FTonc is the force exerted on the car by the truck. Note that the force vectors are not drawn in scale.
► View Available Hint(s)
O
O
O
O
O
Ton C
fc
fc
Ton C
(FG)c
Car
y
nc
Car
y
nc
Ton C/
(FG)c
y
Car
nc
(Fac
nc
Car
fc
(FG)c
fc
nc
(Fa)cr fc
Car
-X
fr
fr
fr
fr
fr
y
Truck
(FG)T
nT
y
Truck
nT
(Far
y
y
n'T
FC on T
Truck
Con T
FC on T
(FG)T
nT
Truck
(Far
nT
F
Truck
Con T
C on T
(FG)T
Transcribed Image Text:Assuming that the car pushes the truck to the right, which of the following free-body diagrams is the correct diagram for the situation described in this problem? In each case, the diagram on the left refers to the car, and that on the right to the truck. Dashed lines connect action/reaction pairs. The following notation is used: f, ñ, and FG are, respectively, friction, normal force, and gravity; subscripts C and T stand for "acting on car" and "acting on truck"; FConT is the force exerted on the truck by the car; and FTonc is the force exerted on the car by the truck. Note that the force vectors are not drawn in scale. ► View Available Hint(s) O O O O O Ton C fc fc Ton C (FG)c Car y nc Car y nc Ton C/ (FG)c y Car nc (Fac nc Car fc (FG)c fc nc (Fa)cr fc Car -X fr fr fr fr fr y Truck (FG)T nT y Truck nT (Far y y n'T FC on T Truck Con T FC on T (FG)T nT Truck (Far nT F Truck Con T C on T (FG)T
Learning Goal:
A 1290 -kg car is pushing an out-of-gear 2200 -kg
truck that has a dead battery. When the driver steps
on the accelerator, the drive wheels of the car push
horizontally against the ground with a force of 4580
N. The rolling friction of the car can be neglected,
but the heavier truck has a rolling friction of 755 N,
including the "friction" of turning the truck's
drivetrain. What is the magnitude of the force the
car applies to the truck?
Transcribed Image Text:Learning Goal: A 1290 -kg car is pushing an out-of-gear 2200 -kg truck that has a dead battery. When the driver steps on the accelerator, the drive wheels of the car push horizontally against the ground with a force of 4580 N. The rolling friction of the car can be neglected, but the heavier truck has a rolling friction of 755 N, including the "friction" of turning the truck's drivetrain. What is the magnitude of the force the car applies to the truck?
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Follow-up Question
### Part C

**Question:**
What is the magnitude \( F_{\text{ConT}} \) of the force that the car exerts on the truck? Use the coordinate system shown in Part B, where upward is the positive \( y \) direction and to the right, the direction \( \vec{F}_{\text{ConT}} \) points, is the positive \( x \) direction.

**Instruction:**
Express your answer in newtons to three significant figures.

**Answer Box:**
\( F_{\text{ConT}} = \) [Input Field] N

**Button:**
Submit

**Additional Features:**
- **View Available Hint(s):** Provides optional hints to assist in solving the problem.
- **Input Options:** Include equation editor and text formatting (e.g., bold, italic).

**Explanation:**
This section requires calculating the magnitude of the force exerted by the car on the truck using a specified coordinate system. Ensure your answer is precise, with three significant figures.
Transcribed Image Text:### Part C **Question:** What is the magnitude \( F_{\text{ConT}} \) of the force that the car exerts on the truck? Use the coordinate system shown in Part B, where upward is the positive \( y \) direction and to the right, the direction \( \vec{F}_{\text{ConT}} \) points, is the positive \( x \) direction. **Instruction:** Express your answer in newtons to three significant figures. **Answer Box:** \( F_{\text{ConT}} = \) [Input Field] N **Button:** Submit **Additional Features:** - **View Available Hint(s):** Provides optional hints to assist in solving the problem. - **Input Options:** Include equation editor and text formatting (e.g., bold, italic). **Explanation:** This section requires calculating the magnitude of the force exerted by the car on the truck using a specified coordinate system. Ensure your answer is precise, with three significant figures.
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