d. Force is a vector quantity and thus has both a magnitude and a direction. A vector can be represented graphically by a line drawn to scale in the direction of the line of action of the force. To distinguish between vector and scalar quantities, various ways are used. Identify and explain three of these ways.

d. Force is a vector quantity and thus has both a magnitude and a direction. A vector can be represented graphically by a line drawn to scale in the direction of the line of action of the force. To distinguish between vector and scalar quantities, various ways are used. Identify and explain three of these ways.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter3: Vectors

Section: Chapter Questions

Problem 69PQ

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d. Force is a vector quantity and thus has both a magnitude and a direction. A vector can be represented graphically by a line drawn to scale in the direction of the line of action of the force. To distinguish between vector and scalar quantities, various ways are used. Identify and explain threeof these ways.
c.Force is a vector quantity and thus has both a magnitude and a direction. A vector can be represented graphically by a line drawn to scale in the direction of the line of action of the force. To distinguish between vector and scalar quantities, various ways are used. Identify and explain threeof these ways
A vector force of F1 of 3N is due West , and a vector force of F2 of 8 N is directed in 40 degrees East of South. a. Draw each vector; calculate their components, and use the component method to determine the magnitude and the direction of the resultant vector F = F1 + F2 .
A vector is 23.4 m long and makes an angle of 60.0° counterclockwise from the y-axis (on the side of the –x-axis). a.)What is the x-component of this vector? b.)What is the y-component of this vector?
A boulder is being pushed by two different people on a flat terrain. The net force on the boulder can be expressed in the Cartesian coordinate system as vector f = (-4i + 5.5j)N. Where I and j denote directions to the east and north. A. Find the magnitude in N B. Find the direction (in degrees counterclockwise from the east axis) of the push.
Two force vectors are added together. The vectors are as follows. Vector A is a force of 52 Newton’s at an angle of 62 degrees. This angle is measured up from the horizontal toward the right Vector B is a force of 120 Newton’s at an angle of 58 degrees. This angle is measured up from the horizontal toward the left. A. What is the magnitude of the net force? (In Newton’s)? B.Find the direction (angle) of the net force as measured up from the horizontal?
1. Give a real world example of the following. A. Something that can be modeled as a vector. B. Something that can be modeled as a scaler.
Mr. One is pushing a cart with a force of F1 - 15.00 N due north. Mr. Two is pushing the same cart with a force of F2 - 25.00 N due northeast. Mr. Three is pushing the cart a force F3 so that the cart is in equilibrium. Find force F3 so that F +Fz+F3=0. First, we calculate the vector sum F + F2 by component method. The x-component of F, is and the y-component is The x-component of Fz is and the y-component is Adding the components, we can express the resultant vector in unit vector component form: Since we want to find F +F;+F3-0, t follows that F- - (Fj +F). Thus, The magnitude of Fg is F3- N.
A force F1 of magnitude of 5 N is directed in 25 degrees East of South, and a force F2 of magnitude of 2 N is directed in 30 degrees North of West. 1. Draw each vector force and give the magnitude and the direction. 3. Component Method of Adding Vectors a. Find the x and y components of each vector. b. Determine the x and the y component of the resultant vector F3 = F1 + F2 . c. Calculate the magnitude and the direction of the resultant vector F3 .
A vector force F1 of 3 N is direcected in 20 degrees North of West, and a vector force F2 of 4 N is directed in 60 degrees East of North. 1. Draw each vector F1 and F2 in the xy-plane. 2. Write the magnitude and the direction of each vector. B. Component Method of Adding Vectors 1. Calculate the x and y components of each vector. 2. Calculate the x and y components of the resultant vector F3 = F1 + F2 . 3. Determine the magnitude of the resultant vector F3 ( Compare this result with #2 (triangle method)).
Determine the horizontal component of a 10.20-N force, applied 17 degrees below the horizontal The act of combining several vectors yields a new vector (capable of replacing the original ones with the same effect) called a : A. Sum B. Equilibrant C. Resultant D. Total What is not useful in characterizing a vector? A. Unit B. Angle C. Direction D. Magnitude
1. Dislocated shoulder. Another vector example is force, which has an SI unit of Newtons (N). Just like displacement, we can add two or more forces. Now, consider a patient with a dislocated shoulder placed in a traction apparatus as shown in figure 1. The vectors A and B have equal magnitudes and must combine to produce an outward force of +5.60Ni. What are the magnitudes of A and B? Figure 1: