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University Physics with Modern Physics (1) | 14th Edition | ISBN: 9780321973610 | Authors: Hugh D. Young Roger A. Freedman
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A 2004 Prius with a 150-lb driver and no passengers weighs

Chapter 8, Problem 8.1

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QUESTION:

A 2004 Prius with a 150-lb driver and no passengers weighs 3071 lb. The car is initially at rest. Starting at t = 0, a net horizontal force Fx1t2 in the +x-direction is applied to the car. The force as a function of time is given in Fig. P8.100. (a) For the time interval t = 0 to t = 4.50 s, what is the impulse applied to the car? (b) What is the speed of the car at t = 4.50 s? (c) At t = 4.50 s, the 3500-N net force is replaced by a constant net braking force Bx = -5200 N. Once the braking force is first applied, how long does it take the car to stop? (d) How much work must be done on the car by the braking force to stop the car? (e) What distance does the car travel from the time the braking force is first applied until the car stops?

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QUESTION:

A 2004 Prius with a 150-lb driver and no passengers weighs 3071 lb. The car is initially at rest. Starting at t = 0, a net horizontal force Fx1t2 in the +x-direction is applied to the car. The force as a function of time is given in Fig. P8.100. (a) For the time interval t = 0 to t = 4.50 s, what is the impulse applied to the car? (b) What is the speed of the car at t = 4.50 s? (c) At t = 4.50 s, the 3500-N net force is replaced by a constant net braking force Bx = -5200 N. Once the braking force is first applied, how long does it take the car to stop? (d) How much work must be done on the car by the braking force to stop the car? (e) What distance does the car travel from the time the braking force is first applied until the car stops?

ANSWER:

Problem 8.1

DATA A 2004 Prius with 150-lb driver and no passengers weigh 3071 lb. The car initially at rest. Starting at t = 0, a net horizontal force  in the +x-direction is applied to the car. The force as a function of time is given in Fig 8.100. (a) For the interval t = 0 to t = 4.50 s, what is the impulse applied to the car? (b) What is the speed of the car at t = 4.50s? (c) At t = 4.50s, the 3500-N net force is replaced by a constant braking force  = -5200N. Once the braking force is first applied, how long does it take the car to stop? (d) How much work must be done on the car by the braking force to stop the car? (e) What distance does the car travel from the time the braking force is first applied until the car stops?

Figure P8.100

                

                                                              Step by Step Solution

Step 1 of 20       

A car driver moves from rest due to horizontal force. Force is the function of time as shown by graph below

                

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