(a)
The addition of two vector
(a)
Answer to Problem 3.23P
The addition of two vector
Explanation of Solution
Given info: The value of two vector
Write the expression for addition of two vector
Substitute
Conclusion:
Therefore, the addition of two vector
(b)
The subtraction of two vector
(b)
Answer to Problem 3.23P
The subtraction of two vector
Explanation of Solution
Given info: The value of two vector
Write the expression for subtraction of two vector
Substitute
Conclusion:
Therefore, the subtraction of two vector
(c)
The magnitude of addition of two vector
(c)
Answer to Problem 3.23P
The magnitude of two vector
Explanation of Solution
Given info: The value of two vector
Write the expression for addition of two vector
Substitute
Write the expression for the magnitude of two vectors
Here,
Substitute
Vector
Conclusion:
Therefore, the magnitude of two vector
(d)
The magnitude of subtraction of two vector
(d)
Answer to Problem 3.23P
The magnitude of two vector
Explanation of Solution
Given info: The value of two vector
Write the expression for subtraction of two vector
Substitute
Write the expression for the magnitude of two vector
Here,
Substitute
Vector
Conclusion:
Therefore, the magnitude of two vector
(e)
The direction of vector
(e)
Answer to Problem 3.23P
The direction of vector
Explanation of Solution
Given info: The value of vector
Write the expression for direction of
Here,
Substitute
The angle made by the vector with the positive axis is,
Substitute
Write the expression for direction of
Here,
Substitute
Conclusion:
Therefore, the direction of vector
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Chapter 3 Solutions
Physics for Scientists and Engineers, Volume 1, Chapters 1-22
- 2. Consider the situation described in problem 1 where light emerges horizontally from ground level. Take k = 0.0020 m' and no = 1.0001 and find at which horizontal distance, x, the ray reaches a height of y = 1.5 m.arrow_forward2-3. Consider the situation of the reflection of a pulse at the interface of two string described in the previous problem. In addition to the net disturbances being equal at the junction, the slope of the net disturbances must also be equal at the junction at all times. Given that p1 = 4.0 g/m, H2 = 9.0 g/m and Aj = 0.50 cm find 2. A, (Answer: -0.10 cm) and 3. Ay. (Answer: 0.40 cm)please I need to show all work step by step problems 2 and 3arrow_forwardFrom number 2 and 3 I just want to show all problems step by step please do not short cut look for formulaarrow_forward
- Look at the answer and please show all work step by steparrow_forward3. As a woman, who's eyes are h = 1.5 m above the ground, looks down the road sees a tree with height H = 9.0 m. Below the tree is what appears to be a reflection of the tree. The observation of this apparent reflection gives the illusion of water on the roadway. This effect is commonly called a mirage. Use the results of questions 1 and 2 and the principle of ray reversibility to analyze the diagram below. Assume that light leaving the top of the tree bends toward the horizontal until it just grazes ground level. After that, the ray bends upward eventually reaching the woman's eyes. The woman interprets this incoming light as if it came from an image of the tree. Determine the size, H', of the image. (Answer 8.8 m) please show all work step by steparrow_forwardNo chatgpt pls will upvotearrow_forward
- Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning