Show important points in he motion with a sketch You may want to give each object a separate coordinate system. Define symbols, Ist acceleration constraints, and identty what the problem istrying to find . Draw an interaction diagram to identify the forces on each object and all actioniteaction pairs . Drawa separate fee-body dagram for each object shoving only the forces acting on that object, not forces exerted by the object Connect the force vectors of actionireaction pairs with dashed lines Learning Goal To practice Problem Soving Strategy 7.1 for jeteractiog.stiects problems A 1230 -kg car is pushing an out of gea 2140 kg truck at has a dead battery When the diver steps on the accelerator the drve wheels of the car push horizontally against the ground with a force of 4440 N The roling triction of the car can be neglected, but the heavier truck has a rolling triction of 770 N. including the iction" of tuming the tuck's divetrain What is the magnitude of the force the car apples to the truck SOLVE Use Newton's second and third laws • Wite the equations of Neton's second la for each object using the force information from the free-body dagrams . Equate the magnitudes of actionteactionpairs . Include the acceleration constraints the tiction model and other quanttative information relevant to Pe problem . Solve for the acceleration, and then use kinematics to find velocites and postions ASSESS Check that your resut has the comect units and significant fgures is reasonable, and answers he question Model The car and the truck are separate objects that form the system Since only the straighsine motion of the car and truck is involved in this problem model them as particies. The earth and the road surface are part of the environment Visualie • Part A Which of the folowing diagrams i he comect interaction diagram for the situation desorbed in this probilem Each red line represents an interaction and an actionteaction pair of forces The labels used in the dagrams are the foloving Sad surface . EE- entre eah System System System System

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**PSS 7.1 Interacting-Objects Problems**

**Learning Goal:**
To appreciate Problem-Solving Strategy 7.1 for interacting-objects problems.

A 1200-kg car is pushing on a 2900-kg truck, which has a dead battery. When the driver steps on the accelerator, the wheels of the car push backward on the ground with a force of 4500 N. The rolling friction of the car (including the friction of turning the car’s wheels) is 120 N. The rolling friction of the truck (and resulting from turning the truck’s wheels) is 240 N. Ignore air resistance. What is the magnitude of the force the car applies to the truck?

**Approach:**

1. **Model:**
   - The car and the truck are separate objects that form the system. Since only the straight-line motion of the car and truck is involved in this problem, model them as particles. The earth and the road surface are part of the environment.

2. **Visualize:**

   - **Part A:**
     - Identify the correct interaction diagram for the situation described. Each red line represents an interaction and action/reaction pair of forces. The labels in the diagrams are:
        - C = Car 
        - T = Truck 
        - R = Road Surface
        - E = Entire Earth 

        ![Diagram Options](link-to-diagram-image)

       Choose the correct interaction diagram from the options provided.

3. **Solve:**
   - Use Newton's second and third laws. 
   - Write the equations of motion for each object using free-body diagrams. 
   - Consider acceleration, tension in the hitch, and other quantitative information relevant to the problem.

4. **Assess:**
   - Ensure that your result has the correct units and significant figures, is reasonable, and answers the question.

**Exercise:**

- Part B: (Complete previous part(s))
- Part C: (Complete previous part(s))
- Part D: (Complete previous part(s))

This exercise guides students through understanding interacting-object problems by modeling, visualizing, and solving based on Newtonian mechanics.
Transcribed Image Text:**PSS 7.1 Interacting-Objects Problems** **Learning Goal:** To appreciate Problem-Solving Strategy 7.1 for interacting-objects problems. A 1200-kg car is pushing on a 2900-kg truck, which has a dead battery. When the driver steps on the accelerator, the wheels of the car push backward on the ground with a force of 4500 N. The rolling friction of the car (including the friction of turning the car’s wheels) is 120 N. The rolling friction of the truck (and resulting from turning the truck’s wheels) is 240 N. Ignore air resistance. What is the magnitude of the force the car applies to the truck? **Approach:** 1. **Model:** - The car and the truck are separate objects that form the system. Since only the straight-line motion of the car and truck is involved in this problem, model them as particles. The earth and the road surface are part of the environment. 2. **Visualize:** - **Part A:** - Identify the correct interaction diagram for the situation described. Each red line represents an interaction and action/reaction pair of forces. The labels in the diagrams are: - C = Car - T = Truck - R = Road Surface - E = Entire Earth ![Diagram Options](link-to-diagram-image) Choose the correct interaction diagram from the options provided. 3. **Solve:** - Use Newton's second and third laws. - Write the equations of motion for each object using free-body diagrams. - Consider acceleration, tension in the hitch, and other quantitative information relevant to the problem. 4. **Assess:** - Ensure that your result has the correct units and significant figures, is reasonable, and answers the question. **Exercise:** - Part B: (Complete previous part(s)) - Part C: (Complete previous part(s)) - Part D: (Complete previous part(s)) This exercise guides students through understanding interacting-object problems by modeling, visualizing, and solving based on Newtonian mechanics.
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