1. Considering a unit vector u4 = A / A, which of the following are properties of u,? (circle allcorrect responses)a. u, has the same units as Ab. ил1c. u, points in the same direction as Ad. uA < Ae. u, is unitless2. Considering two force vectors F1 = Fii+ Fj+ F1,k and F2 = F2i+ Fj + F2,k with their unitvectors ui = F1 / F; = (u1x) i+ (u1) j+ (u12) k and uz = F2 /F2= (u2) i+ (uz) j+(uz:), which of thefollowing are valid calculations for the resultant force FR=F1+ F;? (circle all correct responses)a. FR = (Fix+ F2)i+(Fiy+ F2) j+(Fiz+ F2) kb. FR = (F1 + F:) [(uix+ u2x)i+(uiy + u2) j+ (uiz + u2) k]c. FR = (F? + F?)0S [(u!x+ u2) i+ (uiy + uz) j+ (uiz + u2:) k]d. FR = (F1uix+ Fru2x)i+ (F1u1y+Fruz»)j+(F1u1:+ F2uz)k%3D3. Consider two vectors A and B with unit vectors u4 = A/ A and ug = B / B and angle between Aand B is 0. Which of the following are correct with regard to dot products? (circle all correctresponses)a. A-B is a scalarb. A·B is a vectorc. If A and B are parallel, then the magnitude of A B is the product A*Bd. If A and B are perpendicular, then A-B = 0e. uA'UB = cos04. To draw a free body diagram (FBD) for a single particle in a system, which of the following arethe correct steps? (circle the most correct response)a. 1) Draw the particle and its connections to other components of the system, 2) Drawforces between components on top of the system, 3) Label all forces to define unknownvariablesb. 1) Draw the particle isolated from other components of the system, 2) Draw all forces onthe particle and their orientations, 3) Label all forces and define unknown variablesc. 1) Draw the particle isolated from other components of the system, 2) Draw all forces onthe particle, 3) Draw other components of the system to define the geometryd. 1) Draw the particle and its connections to other components of the system, 2) Draw allforces on the particle, 3) Clearly label all geometry of the system5. Considering springs, cables, and pulleys, which of the following are correct statements? (selectall correct responses)a. A spring can only carry tensile forcesb. A cable can only carry tensile forcesc. A spring can carry both tensile and compressive forcesd. A cable can carry both tensile and compressive forcese. A cable running over a frictionless pulley will have the same internal force throughout itslength

As per guidelines only first question is solved here.

1. Considering a unit vector u4 = A / A, which of the following are properties of u,? (circle all correct responses) a. u, has the same units as A b. ил1 c. u, points in the same direction as A d. UA

1. Considering a unit vector u4 = A / A, which of the following are properties of u,? (circle all correct responses) a. u, has the same units as A b. ил1 c. u, points in the same direction as A d. UA

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.

Question

1. Considering a unit vector u4 = A / A, which of the following are properties of u,? (circle all
correct responses)
a. u, has the same units as A
b. ил1
c. u, points in the same direction as A
d. uA < A
e. u, is unitless
2. Considering two force vectors F1 = Fii+ Fj+ F1,k and F2 = F2i+ Fj + F2,k with their unit
vectors ui = F1 / F; = (u1x) i+ (u1) j+ (u12) k and uz = F2 /F2= (u2) i+ (uz) j+(uz:), which of the
following are valid calculations for the resultant force FR=F1+ F;? (circle all correct responses)
a. FR = (Fix+ F2)i+(Fiy+ F2) j+(Fiz+ F2) k
b. FR = (F1 + F:) [(uix+ u2x)i+(uiy + u2) j+ (uiz + u2) k]
c. FR = (F? + F?)0S [(u!x+ u2) i+ (uiy + uz) j+ (uiz + u2:) k]
d. FR = (F1uix+ Fru2x)i+ (F1u1y+Fruz»)j+(F1u1:+ F2uz)k
%3D
3. Consider two vectors A and B with unit vectors u4 = A/ A and ug = B / B and angle between A
and B is 0. Which of the following are correct with regard to dot products? (circle all correct
responses)
a. A-B is a scalar
b. A·B is a vector
c. If A and B are parallel, then the magnitude of A B is the product A*B
d. If A and B are perpendicular, then A-B = 0
e. uA'UB = cos0
4. To draw a free body diagram (FBD) for a single particle in a system, which of the following are
the correct steps? (circle the most correct response)
a. 1) Draw the particle and its connections to other components of the system, 2) Draw
forces between components on top of the system, 3) Label all forces to define unknown
variables
b. 1) Draw the particle isolated from other components of the system, 2) Draw all forces on
the particle and their orientations, 3) Label all forces and define unknown variables
c. 1) Draw the particle isolated from other components of the system, 2) Draw all forces on
the particle, 3) Draw other components of the system to define the geometry
d. 1) Draw the particle and its connections to other components of the system, 2) Draw all
forces on the particle, 3) Clearly label all geometry of the system
5. Considering springs, cables, and pulleys, which of the following are correct statements? (select
all correct responses)
a. A spring can only carry tensile forces
b. A cable can only carry tensile forces
c. A spring can carry both tensile and compressive forces
d. A cable can carry both tensile and compressive forces
e. A cable running over a frictionless pulley will have the same internal force throughout its
length

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