Polytechnic University of Puerto Rico
PSE
Physics Tutoring
SCIE 2430 Physics I
Vectors
Name ____________________________
Section _________ Term__________
Prof. _____________________________
Tutor William Vélez
Part 1 Concepts and Analysis
Physics is an experimental science that studies phenomena of nature, and tries to find
patterns and principles that relate these phenomena.
1. What is the difference between scalar quantities and vector quantities?
2. Define the negative of a vector.
3. Describe a unit vector.
4. If a scalar product of a vector is cero, what does this means?
5. If a cross (vector) product is cero, what does this means?
6. Can the resultant of two vectors have cero magnitude? If so, give an example.
Polytechnic University of Puerto Rico
PSE
Physics Tutoring
SCIE 2430 Physics I
Vectors
Name ____________________________
Section _________ Term__________
Prof. _____________________________
Tutor William Vélez
Part 5 Vector Addition using Graphical Method
1. Find 𝑅⃗ , 𝑖𝑓𝑅⃗ = 𝐴 + 𝐶 .
Â
Ĉ
2. Find 𝑅⃗ , 𝑖𝑓𝑅⃗ = 𝐴 − 𝐶
Â
Ĉ
3. Find 𝑅⃗ , 𝑖𝑓𝑅⃗ = 𝐴 − 𝐶
Â
C
1
⃗
4. Find 𝑅⃗ , 𝑖𝑓𝑅⃗ = 2𝐴 − 𝐶 − 2 𝐻
Ĥ
Â
Ĉ
Polytechnic University of Puerto Rico
PSE
Physics Tutoring
SCIE 2430 Physics I
Vectors
Name ____________________________
Section _________ Term__________
Prof. _____________________________
Tutor William Vélez
1
⃗ +𝑆
1. Find 𝑅⃗ , 𝑖𝑓𝑅⃗ = − 2 𝐴 + 𝐶 + 2𝐻
Â
Ĥ
Ŝ
Ĉ
1
⃗ − 2𝑆
1. Find 𝑅⃗ , 𝑖𝑓𝑅⃗ = −𝐴 − 2 𝐶 + 4𝐻
Â
Ĥ
Ŝ
Ĉ
Polytechnic University of Puerto Rico
PSE
Physics Tutoring
SCIE 2430 Physics I
Vectors
Name ____________________________
Section _________ Term__________
Prof. _____________________________
Tutor William Vélez
Part 5 Components of Vectors
1) Find the x & y components of the vector.
8m
y
60
°
x
2) Find the resultant vector & and it direction.
y
6.928 m
4m
x
3) Find the y component & the resultant vector.
y
4m
?
? 30°
x
Polytechnic University of Puerto Rico
PSE
Physics Tutoring
SCIE 2430 Physics I
Vectors
Name ____________________________
Section _________ Term__________
Prof. _____________________________
Tutor William Vélez
Part 6 Vector Addition using Analytical Method
1
⃗
1. Find 𝑅⃗ , 𝑖𝑓𝑅⃗ = 2𝐴 − 𝐶 − 2 𝐻
Ĥ
Â
Ĉ
For Situation 4
Â=4∟0°
Ĉ=<0,-4>
Ĥ=3i +6j
Ŝ=-2i +-3j
Polytechnic University of Puerto Rico
PSE
Physics Tutoring
SCIE 2430 Physics I
Vectors
Name ____________________________
Section _________ Term__________
Prof. _____________________________
Tutor William Vélez
For Situation 5
1
Â
Ĉ
Ĥ
⃗ +𝑆
1. Find 𝑅⃗ , 𝑖𝑓𝑅⃗ = − 2 𝐴 + 𝐶 + 2𝐻
Ŝ
Â=4∟0°
Ĉ=<0,-4>
Ĥ=3i +6j
Ŝ=-2i +-3j
Polytechnic University of Puerto Rico
PSE
Physics Tutoring
SCIE 2430 Physics I
Review
Name ____________________________
Section _________ Term__________
Prof. _____________________________
Tutor William Vélez
1) (1.1)The official world land speed record is 1228 km/h, set on October 15, 1997, by Andy
Green in the jet engine car Thrust SSC. Express this speed in meters per second.
2) (1.2)The world’s largest cut diamond is the “ First Star of Africa”. Its volume is 1.84 cubic
inches. What is its volume in cubic centimeters? In cubic meters?
3) (1.5)A cross-country skier skis 1km north and then 2 km east on a horizontal snow field.
How far and in what direction is she from the start point?
Polytechnic University of Puerto Rico
PSE
Physics Tutoring
SCIE 2430 Physics I
Review
Name ____________________________
Section _________ Term__________
Prof. _____________________________
Tutor William Vélez
1) (1.31)A postal employee drives a delivery truck along the route show below. Determine the
magnitude and direction of the resultant DISPLACEMENT.
2) (1.68)Three Horizontal ropes pull on a large stone stuck in the ground, producing the vector forces
⃗ , and 𝐶 show below. Find the magnitude and direction of a fourth force on the stone that will
𝐴, 𝐵
make the vector sum of the four forces Zero.
Polytechnic University of Puerto Rico
PSE
Physics Tutoring
SCIE 2430 Physics I
Review
Name ____________________________
Section _________ Term__________
Prof. _____________________________
Tutor William Vélez
1) (1.74) A sailor in a small sailboat encounters shifting winds. She sails 2 km east, then 3.5 km
southeast, and then an additional distance in an unknown direction. Her final position is 5.8 km
directly east of the starting point. Find the magnitude and direction of the third leg of the journey.