PSS 7.1 Interacting-Objects Problems
Learning Goal: To practice Problem-Solving Strategy 7.1 for interacting-objects problems. A 1200 -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 4520 N . The rolling friction of the car can be neglected, but the heavier truck has a rolling friction of 770 N , including the "friction" of turning the truck's drivetrain. What is the magnitude of the force the car applies to the truck?
Write the equations of Newton's second law for each object, using the force information from the free-body diagrams.
Equate the magnitudes of action/reaction pairs.
Include the acceleration constraints, the friction model, and other quantitative information relevant to the problem.
Solve for the acceleration, and then use kinematics to find velocities and positions.
ASSESS: Check that your result has the correct units and significant figures, is reasonable, and answers the question.
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.
Visualize
Part A
Part B
Solve
Part C
What is the magnitude F_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 F_ConT points, is the positive x direction.
Express your answer in newtons to three significant figures.
View Available Hint(s)
F_ConT =
Submit