Physics - PUPR - Polytechnic University of Puerto Rico
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Polytechnic University of Puerto Rico PSE Physics Tutoring SCIE 0110 Introduction to Physics Physical Quantities and Unit System Name _____________________________ Prof. _____________________________ Section _________ Term__________ 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. Mention the fundamentals physical quantities? 2. Mention the unit systems, and an example of each one? 3. What unit would be easier to use to measure a house? 4. What unit would be easier to use to measure a coin? 5. What unit would be easier to use to measure a country? 6. What unit would be easier to use to measure an atom? 7. What unit would be easier to use to measure a book? Polytechnic University of Puerto Rico PSE Physics Tutoring SCIE 0110 Introduction to Physics Unit Conversion Name ____________________________ Section _________ Term__________ Prof. _____________________________ Tutor William Vélez Part 2 Conversion in one dimension Physics is an experimental science that studies phenomena of nature, and tries to find patterns and principles that relate these phenomena. 1. One Kilogram is the same as __________grams? 2. One thousand grams is the same as _________ slugs? 3. Two thousand meters is the same as _________ miles? 4. Five thousand feet is the same as _________ meter? 5. One foot plus two kilometer equal ___________ miles? 6. Express your height, (a) in meters and (b) centimeter? Polytechnic University of Puerto Rico PSE Physics Tutoring SCIE 0110 Introduction to Physics Unit Conversion Name ____________________________ Section _________ Term__________ Prof. _____________________________ Tutor William Vélez Part 3 Conversion in two dimensions 1. One meter per second is the same as ___________ miles per hour? 2. Five hundred kilometers per second is the same as ___________ feet per minute? 3. Ten inches per minute is the same as ___________miles per hour? 4. Five hundred meters per hour is the same as __________miles per second? 5. Ten square meters is the same as __________ square centimeters? Polytechnic University of Puerto Rico PSE Physics Tutoring SCIE 0110 Introduction to Physics Unit Conversion Name ____________________________ Section _________ Term__________ Prof. _____________________________ Tutor William Vélez Part 3 Conversion in two dimensions 1. Seven square meters is the same as __________ square feet? 2. Fifteen square miles is the same as __________ square kilometers? 3. Two square inches is the same as __________ square meters? 4. Ten square feet is the same as __________ square inches? Polytechnic University of Puerto Rico PSE Physics Tutoring SCIE 0110 Introduction to Physics Vectors Name ____________________________ Section _________ Term__________ Prof. _____________________________ Tutor William Vélez Part 4 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 0110 Introduction to Physics 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 0110 Introduction to Physics 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 0110 Introduction to Physics 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 0110 Introduction to Physics 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 0110 Introduction to Physics Vectors Name ____________________________ Section _________ Term__________ Prof. _____________________________ Tutor William Vélez For Situation 5 Â Ĉ Ĥ 1 ⃗ +𝑆 1. Find 𝑅⃗ , 𝑖𝑓𝑅⃗ = − 2 𝐴 + 𝐶 + 2𝐻 Ŝ Polytechnic University of Puerto Rico Â=4∟0° Ĉ=<0,-4> Ĥ=3i +6j Ŝ=-2i +-3j PSE Physics Tutoring SCIE 0110 Introduction to Physics 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 0110 Introduction to Physics 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 0110 Introduction to Physics 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.
