Physics
Physics
5th Edition
ISBN: 9781260486919
Author: GIAMBATTISTA
Publisher: MCG
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Chapter 2, Problem 4P

(a)

To determine

The displacement of the car between 3.00P.M and 6.00P.M.

(a)

Expert Solution
Check Mark

Answer to Problem 4P

The displacement of the car between 3.00P.M and 6.00P.M is 8km north of its position at 3P.M.

Explanation of Solution

Take south direction as +x direction.

The vector diagram of the displacement of the car at different time is shown below.

Physics, Chapter 2, Problem 4P , additional homework tip  1

From the figure at 3.00P.M position of the object is 20km from starting point and at 6.00P.M position of object is 12km.

Write the expression for the displacement of the car between 3.00P.M and 6.00P.M.

Δx=x3x1 (I)

Here, Δx is the displacement of the car , x1 is the position of the car at 3.00P.M and x3 is the position of the car at 6.00P.M.

Vector diagram of x1,x3and x3x1 is shown below.

Physics, Chapter 2, Problem 4P , additional homework tip  2

Conclusion:

Substitute 12km for x3 and 20km for x1 in equation (I) to get Δx.

Δx=12km20km=8km

Since +x is taken as south direction, negative sign for Δx indicate that displacement of the car is towards north direction.

Therefore, the displacement of the car between 3.00P.M and 6.00P.M is 8km north of its position at 3P.M.

(b)

To determine

The displacement of the car from starting point to location at 4.00P.M.

(b)

Expert Solution
Check Mark

Answer to Problem 4P

The displacement of the car from starting point to location at 4.00P.M is 116km south of the starting point.

Explanation of Solution

Take south direction as +x direction.

The vector diagram of the displacement of the car at different time is shown below.

Physics, Chapter 2, Problem 4P , additional homework tip  3

From the figure at 4.00P.M, the position of the car is 96km south from position of the car at 3.00P.M.

Write the expression for the displacement of the car from starting point to position of the car at 4.00P.M.

Δx=x1+x2 (II)

Here, Δx is the displacement of the car , x1 is the position of the car at 3.00P.M and x2 is the position of the car at 4.00P.M.

Vector diagram of x1 , x2 and x1+x2 is shown below.

Physics, Chapter 2, Problem 4P , additional homework tip  4

Conclusion:

Substitute 20km for x1 and 96km for x2 in equation (II) to get Δx.

Δx=20km+96km=116km

Therefore, the displacement of the car from starting point to location at 4.00P.M is 116km south of the starting point.

(c)

To determine

The displacement of the car between 4.00P.M and 6.00P.M.

(c)

Expert Solution
Check Mark

Answer to Problem 4P

The displacement of the car between 4.00P.M and 6.00P.M is 104km north of its position at 4P.M.

Explanation of Solution

Take south direction as +x direction.

The vector diagram of the displacement of the car at different time is shown below.

Physics, Chapter 2, Problem 4P , additional homework tip  5

From the figure at 4.00P.M, position of the object is 96km south from position of the car at 3.00P.M and at 6.00P.M position of object is 12km south from starting point.

Write the expression for the displacement of the car between 4.00P.M and 6.00P.M.

Δx=x3(x1+x2) (III)

Here, Δx is the displacement of the car , x1 is the position of the car at 3.00P.M and x3 is the position of the car at 6.00P.M.

Vector diagram of (x1+x2),x3and x3(x1+x2) is shown below.

Physics, Chapter 2, Problem 4P , additional homework tip  6

Conclusion:

Substitute 12km for x3, 96km for x2 and 20km for x1 in equation (III) to get Δx.

Δx=12km(20km+96km)=104km

Since +x is taken as south direction, negative sign for Δx indicate that displacement of the car is towards north direction.

Therefore, the displacement of the car between 4.00P.M and 6.00P.M is 104km north of its position at 4P.M.

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Chapter 2 Solutions

Physics

Ch. 2.4 - Prob. 2.4CPCh. 2.5 - Prob. 2.5CPCh. 2.5 - Prob. 2.6PPCh. 2.5 - Prob. 2.7PPCh. 2.5 - Prob. 2.8PPCh. 2.5 - Prob. 2.9PPCh. 2.6 - Prob. 2.6CPCh. 2.6 - Prob. 2.10PPCh. 2 - Prob. 1CQCh. 2 - Prob. 2CQCh. 2 - Prob. 3CQCh. 2 - Prob. 4CQCh. 2 - Prob. 5CQCh. 2 - Prob. 6CQCh. 2 - Prob. 7CQCh. 2 - Prob. 8CQCh. 2 - Prob. 9CQCh. 2 - Prob. 10CQCh. 2 - Prob. 11CQCh. 2 - Prob. 1MCQCh. 2 - Prob. 2MCQCh. 2 - Prob. 3MCQCh. 2 - Prob. 4MCQCh. 2 - Prob. 5MCQCh. 2 - Multiple-Choice Questions 6–15. A jogger is...Ch. 2 - 7. What is the displacement of the jogger for the...Ch. 2 - Prob. 8MCQCh. 2 - Prob. 9MCQCh. 2 - Multiple-Choice Questions 6–15. A jogger is...Ch. 2 - Prob. 11MCQCh. 2 - Prob. 12MCQCh. 2 - Prob. 13MCQCh. 2 - Prob. 14MCQCh. 2 - Prob. 15MCQCh. 2 - Prob. 16MCQCh. 2 - Prob. 17MCQCh. 2 - Prob. 18MCQCh. 2 - Prob. 19MCQCh. 2 - 20. Which graph shows a changing ax that is always...Ch. 2 - Prob. 21MCQCh. 2 - Prob. 22MCQCh. 2 - Prob. 23MCQCh. 2 - Prob. 24MCQCh. 2 - Prob. 25MCQCh. 2 - Prob. 26MCQCh. 2 - Prob. 27MCQCh. 2 - Prob. 28MCQCh. 2 - Prob. 29MCQCh. 2 - Prob. 30MCQCh. 2 - Prob. 1PCh. 2 - Prob. 2PCh. 2 - Prob. 3PCh. 2 - Prob. 4PCh. 2 - Prob. 5PCh. 2 - Prob. 6PCh. 2 - Prob. 7PCh. 2 - Prob. 8PCh. 2 - Prob. 9PCh. 2 - Prob. 10PCh. 2 - Prob. 16PCh. 2 - Prob. 11PCh. 2 - Prob. 12PCh. 2 - Prob. 13PCh. 2 - Prob. 14PCh. 2 - Prob. 15PCh. 2 - Prob. 17PCh. 2 - Prob. 18PCh. 2 - Prob. 22PCh. 2 - Prob. 19PCh. 2 - 21. The graph shows x(t) for a skater traveling...Ch. 2 - 22. The graph shows x(t) for an object traveling...Ch. 2 - Prob. 23PCh. 2 - Prob. 24PCh. 2 - Prob. 25PCh. 2 - Prob. 26PCh. 2 - Prob. 27PCh. 2 - Prob. 28PCh. 2 - Prob. 29PCh. 2 - Prob. 30PCh. 2 - Prob. 31PCh. 2 - Prob. 35PCh. 2 - Prob. 33PCh. 2 - Prob. 34PCh. 2 - Prob. 32PCh. 2 - 36. The graph with Problem 10 shows speedometer...Ch. 2 - Prob. 37PCh. 2 - Prob. 38PCh. 2 - Prob. 39PCh. 2 - Prob. 40PCh. 2 - Prob. 41PCh. 2 - Prob. 42PCh. 2 - Prob. 43PCh. 2 - Prob. 44PCh. 2 - Prob. 45PCh. 2 - Prob. 46PCh. 2 - Prob. 47PCh. 2 - Prob. 48PCh. 2 - Prob. 49PCh. 2 - Prob. 50PCh. 2 - Prob. 51PCh. 2 - Prob. 52PCh. 2 - Prob. 53PCh. 2 - Prob. 54PCh. 2 - Prob. 55PCh. 2 - Prob. 56PCh. 2 - Prob. 57PCh. 2 - Prob. 58PCh. 2 - Prob. 59PCh. 2 - Prob. 60PCh. 2 - Prob. 61PCh. 2 - Prob. 62PCh. 2 - Prob. 63PCh. 2 - Prob. 64PCh. 2 - Prob. 65PCh. 2 - Prob. 71PCh. 2 - Prob. 66PCh. 2 - Prob. 67PCh. 2 - Prob. 68PCh. 2 - Prob. 69PCh. 2 - Prob. 70PCh. 2 - Prob. 72PCh. 2 - Prob. 73PCh. 2 - Prob. 74PCh. 2 - Prob. 75PCh. 2 - Prob. 76PCh. 2 - Prob. 77PCh. 2 - Prob. 78PCh. 2 - Prob. 79PCh. 2 - Prob. 80PCh. 2 - Prob. 81PCh. 2 - Prob. 82PCh. 2 - Prob. 83PCh. 2 - Prob. 84PCh. 2 - Prob. 85PCh. 2 - Prob. 86P
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