4. A car of mass m, initially at rest at time t = 0, is driven to the right along a straight line on a horizontal road. The engine applies a constant force Ea. While moving, the car encounters a resistance force F, = - kx where v is the velocity of the car and k is a positive constant. a. On the diagram below, show and label all forces acting on the car as it moves to the right. b. Determine the horizontal acceleration of the car. C. Derive an expression for the car's velocity as a function of time in terms of k, E

Glencoe Physics: Principles and Problems, Student Edition
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Author:Paul W. Zitzewitz
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Chapter6: Motion In Two Dimensions
Section: Chapter Questions
Problem 97A
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4. A car of mass m, initially at rest at time t = 0, is driven to the right along a straight line on a
horizontal road. The engine applies a constant force Ea. While moving, the car encounters a
resistance force F, = - by where v is the velocity of the car and k is a positive constant.
a. On the diagram below, show and label all forces acting on the car as it moves to
the right.
b. Determine the horizontal acceleration of the car.
c. Derive an expression for the car's velocity as a function of time in terms of k, E
Transcribed Image Text:4. A car of mass m, initially at rest at time t = 0, is driven to the right along a straight line on a horizontal road. The engine applies a constant force Ea. While moving, the car encounters a resistance force F, = - by where v is the velocity of the car and k is a positive constant. a. On the diagram below, show and label all forces acting on the car as it moves to the right. b. Determine the horizontal acceleration of the car. c. Derive an expression for the car's velocity as a function of time in terms of k, E
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