2.Four objects positioned at the top of an inclined plane - bowling ball, basketball, a size D battery, and an empty can of milk - are released at the same time. From first to last, what is the correct order of finish at the bottom of the incline? A. basketball, bowling ball, can, battery B. battery, can, basketball, bowling ball C. bowling ball, battery, basketball, can D. (inconclusive: insufficient information)
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- B. Using the problem below. Find the following. a. x1 (x - component of F1) b. x2 (x - component of F2) c. X3 (x - component of F3) d. xtotal e. y1 (y- component of F1) f. y2 (y - component of F2) g. y3 (y- component of F3) h. y total i. Resultant j. Angle (direction of the resultant) "A particle is being acted upon by the following forces F1 = 4.0 newton, East; F2 = 6.0 newton, Northeast and F3 = 8.0 newton, South.Problem: Vector F1 = 625 N makes an angle of 270° when rotated counterclockwise from the +x axis. Vector F2 = 875 N makes a 120° angle from Vector F1 when rotated counterclockwise. Find the following: 1. What is the value for Rx? A. 700 N B. 757.8 N C. 900 N 2. What is the value for Ry? A. -187.5 N B. 200 N C. +187.5 N 3. What is the direction of the vector needed to balance the two forces? A. 0° B. 186° C. -32° D. 166° E. 270° F. -31° G. -180° Answer all the questions please I'll give rate.To celebrate the start of October, you want to win a pumpkincatapult contest, which requires you to build a catapult and launcha pumpkin from it. You build your catapult so that it releases thepumpkin when the catapult arm is exactly vertical, as shown inthe picture. a.Draw a picture and make a list of known and unknownquantities for the scenario b.Suppose the catapult arm has a length of R = 3 m and the pumpkin undergoes uniform circular motion with an acceleration of a = 75 m/s^2 before it is launched. What is the speed of the pumpkin at the moment it is launched?
- Let R Sx TŤ and e tails at the same point. Which of the following is NOT true? 90° is the angle between S and T when they are drawn witn their B. -R= Tx S C. R.S=0 D.R.T=0 E. S-T 0 P of New leical method 4. Which of the following quantities is considered a vector quantity? A. 5.0 miles B. 2.0 kg C. 10 °C 5. What is the magnitude olygon method of the resultant vector: 10.0m C. 16 m 6.0m D. 2.0 liter D. There is not enough information to determine the resultant vector 8. Which of the following would be the same as the tail to tip method? A. Graphical B. Parallelogram C. Polar 9. All of the following are vector quantities EXCEPT? A. Displacement B. Distance 10. Which of the following is properly grouped? A. Lengh, Area, Volume, Speed B. Acceleration, Area, Volume, Speed A. 1.7 m B. 4.0m 6. Which of the following statements is false? A. Scalar quantities have size or magnitude only. B. Vector quantities have both magnitude and direction. C. Mass (not weight), length and time are all scalar quantities. D. Distance, velocity and acceleration are all vector quantities. 7. What will be the magnitude of the resultant vector of two forces projected directly towards each other with…The grid runs from -5 to 5 on both axes. Drawn on this grid are four vectors, labeled A⃗ A→ through D⃗ D→. This problem will ask you various questions about these vectors. All answers should be in decimal notation, unless otherwise specified. A. What is the xcomponent of A→? B.What is the y component of A⃗ ? C.What is the y component of B⃗ ? D.What is the x component of C⃗ ? E. In ordered pair notation, write down the components of vector B⃗ F. In ordered pair notation, write down the components of vector D G.What is true about B⃗ and D⃗ ? They have different components and are not the same vectors. They have the same components but are not the same vectors. They are the same vectors.
- SS5) Solve the sub-part (a) only. do without any mistake.1. The cross product of j x i isa. 0 b.1 c. –k d. -1 2. An airplane travels 200 miles due west and then 150 miles 600 north of west. What isthe resultant?a. 304.1 mi NE b. 304.1 mi SE c. 304.1 mi WS d. 304.1 mi NWMoving to another question will save this response. Question 6 Given two vectors A = 7i+ 5j - 2k, and B = 3i – 10j + 6k, what is the angle between the two vectors? O A. 112.7° B. 116.3° O C. 118 4° O D. 115° O E. None of these Moving to another question will save this response.
- 1. Determine the equivalent directions for the given vectors. a. 35° N of E b. 20° W of S c. S 40° E d. N 65° W 2. Determine the equilibrant of the given vectors by (a) parallelogram method and (b) triangle method. Use the given scale for your answer. C = 10 kph, 12degrees N of W E = 15 kph, 83degrees S of E 3. A sailor in a small boat encounters shifting winds. She sails 8 km south, then 15 km 30o E of N, and then 12 km 25o N of W. Use polygon method to determine the magnitude and direction of her resultant displacement. 4. Solve for the required using the given vectors A = 3i – 8j + 6k B = 4 j + 9k – 5i C = 7k a. A ∙B b. A ×B c. (A ×B)×C d. (B×C)∙AA. The tWU arc im B. The two vectors are in opposite directions. C. The two vectors are equal. D. The two vectors are equal and opposite in direction. Question 2 2.1 Define the following terms: 2.1.1 Vector quantity. 2.1.2 Resultant vector. 2.1.3 Force. 2.2 Outline two differences between a tail-to-tail method and a head-to-tail method. 2.3 Hence, use a tail-to-tail method to draw a resultant force of the following forces. • F = 2 N in the positive y – dirrection • F2 = 1,5 N in the negative y – direction • F3 = 2 N in the negative y – directon F= 3 N in the postive x 2.4 Determine the direction of the resultant force you found in 2.3. directionEvaluate each of the following. Assume î, ĵ, k are the unit vectors aligne with the x, y, and z axes, respectively. a. î j = d. (4î – j) · (3î + 5j – 10k) = b. k - k= c. k- î=