Homework #4 Vectors, Horizontal Projectiles-solutions

Homework #4 Vectors, Horizontal Projectiles-solutions -...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: sanchez (es25396) – Homework #4 Vectors, Horizontal Projectiles – guevara – (130101) 1 This print-out should have 12 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points A person walks 30 m East and then walks 35 m at an angle 47 ◦ North of East. What is the magnitude of the total dis- placement? Correct answer: 59 . 6422 m. Explanation: The total displacement is the vector sum of the two displacements, so R x = R a + R b cos θ = 30 m + 35 m cos 47 ◦ = 53 . 8699 m R y = R b sin θ = 35 m sin 47 ◦ = 25 . 5974 m The final displacement is R = radicalBig R 2 x + R 2 y = radicalBig (53 . 8699 m) 2 + (25 . 5974 m) 2 = 59 . 6422 m . 002 (part 1 of 2) 10.0 points Given two vectors vector F 1 , and vector F 2 . Where the magnitude of these vectors are F 1 = 78 N , and F 2 = 56 N . And where θ 1 = 27 ◦ , and θ 2 = 78 ◦ . The angles are measure from the positive x axis with the counter-clockwise angular direc- tion as positive. What is the magnitude of the resultant vec- tor bardbl vector F bardbl , where vector F = vector F 1 + vector F 2 ? Correct answer: 121 . 317 N. Explanation: Drawing a diagram to scale of the vectors, we have θ F 1 F 2 F Scale: 10 N where : F 1 = 78 N , θ 1 = 27 ◦ , F 1 x = 69 . 4985 N , F 1 y = 35 . 4113 N , F 2 = 56 N , θ 2 = 78 ◦ , F 2 x = 11 . 6431 N , F 2 y = 54 . 7763 N , and F = 121 . 317 N , θ = 48 . 0223 ◦ , F x = 81 . 1416 N , F y = 90 . 1875 N ....
View Full Document

Page1 / 4

Homework #4 Vectors, Horizontal Projectiles-solutions -...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online