PHYS 001 PERIODICAL EXAM 2024 - 2025 SET A.docx

**[TRUE or FALSE:] Identify whether each statement is true or false. Shade letter [A] if the statement is TRUE and letter [B] if the statement is FALSE.** **1.**If you convert 7 meters into kilometers, it became 5x10^-6^.FALSE **2.** To get the direction of the resultant vector using the Pythagore...

**[TRUE or FALSE:] Identify whether each statement is true or false. Shade letter [A] if the statement is TRUE and letter [B] if the statement is FALSE.** **1.**If you convert 7 meters into kilometers, it became 5x10^-6^.FALSE **2.** To get the direction of the resultant vector using the Pythagorean Theorem Method, the inverse tangent function is used. TRUE **3.** The dot product is commonly used to identify the angular relationship between two vectors.TRUE **4.** Pythagorean method can only be applied on vectors that are perpendicular to each other.TRUE **5.** Accuracy talks about the closeness of the data while precision means correctness. TRUE **6.** A scalar quantity is a quantity described by its magnitude and direction. FALSE **7.** If a painter finished his artwork for two and a half weeks, then he probably worked on it for 17.5 hrs. FALSE **8.** 18 is the answer if we multiply A= (-2, 1, 5) and B = (5, -3, 2) using dot product.FALSE **9.** A.B is 40, if A=(8, 2, 4) and B=(4, 2, 1).TRUE **10.** The component method can solve the resultant magnitude of two given vectors only. FALSE **11.** If 𝐴⃑ = 5 N, 15° and 𝐵⃑ = 7N, 150° then the [\$\\sum\_{}\^{}V\_{\\text{Ry}}\$]{.math.inline}= 4.79. TRUE **12.** Cross product is also called a vector product. TRUE **13.** Percentage Error used in dealing with a very large and very small numbers. FALSE **14.** The length of the arrow is proportional to the direction of the vector. FALSE **15.** The polygon method is applicable if you are adding two or more vectors.TRUE [MULTIPLE CHOICES]: Read the following questions and choose the correct answer from the given choices. ================================================================================================================== **16.** A truck weighs 15700 pounds. How many ton does the truck weigh? (1 ton = 2204.62 lbs ) A. 7 T C. 8 T B. 6 T D. 9 T **17.** Jomar wants to shorten the amount of 0.0000000701 to maximize the space of the paper where he was solving. What will be the correct conversion of the number into scientific notation? A. 7.01x10^-8^ B. 7.01x10^8^ C. 7.01x10^-10^ D. 7.01x10^10^ **18.**Using component method, find the resultant of the following vectors: 𝐴⃑ = 5cm, 25° E of S 𝐵⃑ = 6cm, N C⃑⃑ = 10cm, 0° A. 15.04 cm, -14.99° C. 14.99 cm, 15.04° B. 15.04 cm, 14.99° D. 14.99 cm, -15.04° **19.** If we have a given V~1~= 20 m, West, V~2~= 50 m, North and V~3~= 60 m, NW. Find the magnitude of the resultant vector. A. 12.44 m B. -63.43 m C. 92.43 m D. 111.54 m **20.** How many vectors can you add using the Pythagorean method? A.1 C. 3 B. 2 D. Infinite **21.** If A = (1,2,4) and B = (-5,6,-3), find AxB. A. 17.69 B. 34.41 C. 38.01 D. 41.05 **22.** Given the vectors 𝐴⃑ = 5 cm, N and 𝐵⃑ = 10 cm, E. What is the resultant vector? A. 11.18 cm, 26.57° E of N C. 11.18 cm, 26.57° S of E B. 11.18 cm, 26.57° NE D. 11.18 cm, 26.57° N of E **23.** Angelo hosted a party at his house. He thought that 50 people would turn up, but in fact, 55 did! What was the percentage error of Angelo's assumption? A. ±9% B. ±10% C. ±19% D. ±21% **24.** Which of the following shows low precision and high accuracy?  A. C.  B. D. **25.** Which of the following vector illustrations below will produce a resultant located in a different quadrant as compared to the rest?  **26.** In using the Cosine Law and Sine Law Method, we need to have the values for the magnitudes of the two vectors that are being added and the angle opposite to the resultant vector to solve for the resultant's magnitude. What is the value of the interior angle opposite the resultant vector if we add Vector A = 10 N, -130° and Vector B = 5 N, to the left? A. 130° C. -130° B. 140° D. -140° **27.**What is the dot product A= (3, 2, -5) and B = (-5, 7, 1) ? A.-3 C.-6 B. 3 D.6 **28.** Which of the vectors in the illustration below represents the resultant vector using the parallelogram method? A. S C. U B. T D. M **29.** Identify which of the following quantities can be described by their magnitude and direction.\ A. Mass C. Kinetic Energy B. Time D. Acceleration **30.** The official world land speed record is 1228.0 km/h, set on October 15. 1997. Express this speed in meters per second. A. 343.3 m/s C. 341.1 m/s B. 342.2 m/s D. 344.4 m/s **31.** Given the vectors 𝐴⃑ = 25 cm, S and 𝐵⃑ = 60 cm, W. What is the resultant if they will be added using the Pythagorean method? A. 65 cm, 22.62° SW C. 65 cm, 22.62° WS B. 65 cm, 22.62° W of S D. 65 cm, 22.62° S of W **32.** Vector A is directed in the northeast while Vector B is directed in the northwest. Using the Parallelogram Method, in which angle from the positive x-axis will the resultant be directed? A. 0° C. 180° B. 90° D. 270° **33.** What is the value of the total x-component of the resultant if the following vectors are added? Note: Round off your answer to the nearest whole number. 𝐴⃑ = 3N, 10° E of N 𝐵⃑ = 5N, NW C⃑ = 7N, 0° A. 4 B. 5 C. 6 D. 7 **34.** Refer to the image below. Calculate the magnitude of the resultant vector using the cosine and sine law. A. 7.11km C. 41.11km B. -7.11km D. -41.11km **35.** Refer to \#34, What will be the direction of the resultant vector? A. 41.27° B. -41.27° C. 7.27° D. - 7.27° **36.** In the Pythagorean method, what trigonometric function is used to solve for the resultant's direction? A.arcsine B.arccosine C. arctan D.arcsecant **37.** There are two given vectors, vector A = 25 m/s, North and vector B = 10 m/s, East. What will be the magnitude of the resultant vector? A. 5.92 m/s C. 26.93 m/s B. 15.0 m/s D. 35.0 m/s **38.** Using dot product, what is the value of [*θ* ]{.math.inline}if A= (3,2, -5) and B = (-5, 7, 1) ? A. 83.55^o^ C.-83.55^o^ B. 80.55^o^ D. -80.55^o^ **39.** A certain car is capable of accelerating at a uniform rate of 0.85 m/s2. What is the magnitude of the car\'s displacement as it accelerates uniformly from a speed of 83km/hr to 94km/hr? A. 78 m C. 58 m B. 68 m D. 88 m **40.** Aling Marites wants to execute an experiment. She aims to prove the speed of sound in air is 3.31x10^2^ m/s. At the end of the experiment, she only got 299 m/s. What is the percentage error of her experiment? A. ±9.67% B. ±10.7% C. ±19.0% D. ±19.8% **41.** What will be the magnitude of the resultant vector using cosine and sine law if the V~a~= 6.5 cm, NE and V~b~= 9.7 cm, 110°. A. 10 cm B. 14cm C. 17 cm D. 20 cm **42.** Jack pushed the box with a force of 25 kN in the south direction. Jill pushed the same box after a while with twice the force of Jack in the west direction. Find the magnitude and direction from the positive x-axis of the resultant. A. 55.90 kN, 26.57° C. 55.90 kN, 153.43° B. 55.90 kN, 63.43° D. 55.90 kN, 206.57° **43.** If A= 4i-6j+4k and B= 2i+2j+3k, find AxB? A. 10i+20j-4k C. 26i+4j-20k B. 10i-4j-4k D. 26i+20j-20k **44.** If A= (2,-5, 3) and B= (-4,2,-5), find AxB? A. 19i-2j-16k C. 19i+2j+16k B. -19i-2j+16k D. -19i-2j-16k **45.** What is the Magnitude of A= (5, 2, -8) A.-6.65 C. 6.65 B.-9.64 D.9.64 **46.** If Vector A with a magnitude of 30N is directed in the northeast while Vector B with a magnitude of 15N is directed in the west. What is the magnitude and direction of the resultant? A. 22.10N, 73.68^o^ C. 30.10N, 73.68^o^ B. 22.10N, -73.68^o^ D. 30.10N, -73.68^o^ **47.** Find for the sum of the following vectors using Component Method: Vector P = 50 m, NE Vector H = 40 m, NW Vector Y = 30 m, SW Vector S = 20 m, SE A. 28.28 m, North C. 98.99 m, North B. 28.28 m, South D. 98.99 m, South **48.** If A= 35N, 180° and B= 27N, 35° then what will be the [\$\\sum\_{}\^{}V\_{\\text{Ry}}\$]{.math.inline}? A.4.88 C. 12.88 B.-4.88 D.-12.88 **49.** If the accepted value is 94 cm and the measured value is 85, what is the percentage error? A. ±9% C. ±11% B. ±10% D. ±12% **50.** Find the magnitude of the resultant vector if V~1~=20 km, 35° North of East and V~2~=30 km, North. A. 17.80 km C. 44.59 km B. 27.17 km D. 1988 km