Docsity
Docsity
Prepare for your exams
Prepare for your exams

Study with the several resources on Docsity

Earn points to download
Earn points to download

Earn points by helping other students or get them with a premium plan

Guidelines and tips
Guidelines and tips
Sell on Docsity
Sell on Docsity
Docsity AI
Docsity AI
Log inSign up

Prepare for your exams

Study with the several resources on Docsity

Find documents

Prepare for your exams with the study notes shared by other students like you on Docsity

Search for your university

Find the specific documents for your university's exams

Docsity AINEW

Summarize your documents, ask them questions, convert them into quizzes and concept maps

Explore questions

Clear up your doubts by reading the answers to questions asked by your fellow students

Earn points to download

Earn points by helping other students or get them with a premium plan

Share documents
download point icon20 Points

For each uploaded document

Answer questions
download point icon5 Points

For each given answer (max 1 per day)

All the ways to get free points
Get points immediately

Choose a premium plan with all the points you need

Study Opportunities

Choose your next study program

Get in touch with the best universities in the world. Search through thousands of universities and official partners

Community

Ask the community

Ask the community for help and clear up your study doubts

Free resources

Our save-the-student-ebooks!

Download our free guides on studying techniques, anxiety management strategies, and thesis advice from Docsity tutors

Solutions to Vector Components Worksheet, Exercises of Chemistry

Baldwin Wallace University (BW)Chemistry

Physics 1C topic exercise questions and answers on vector components

Typology: Exercises

2020/2021

Uploaded on 04/20/2021

damyen
damyen 🇺🇸

4.4

(27)

274 documents

1 / 5

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
Solutions to Physics I C Vector Components Worksheet
Vector Components Worksheet
1. Using dotted lines, draw the horizontal and vertical components for each vector shown below. Show only one
pair of the components.
2. Using the angles given on the diagrams in problem #1 above, calculate the values of the horizontal ( x ) and
vertical ( y ) components for each diagram you did above, showing your work in the box for each below.
Note: Be sure your calculator is in “DEGREE” mode before doing your calculations.
X = Y =
𝐴𝑥=𝐴cos𝜃 = 40 𝑚 cos140°
=−30.6 𝑚
𝐴𝑦= 𝐴sin𝜃 = 40 𝑚 sin140°
=25.7 𝑚
X = Y =
𝐴𝑥=𝐴cos𝜃 = 9 𝑙𝑏cos20°
=8.46 𝑙𝑏
𝐴𝑦= 𝐴 sin 𝜃 = 9 𝑙𝑏sin20°
=3.08 𝑙𝑏
X = Y =
𝐴𝑥=𝐴cos𝜃 = 20 𝑘𝑚 cos255°
=−5.18 𝑘𝑚
𝐴𝑦= 𝐴sin𝜃 = 20 𝑘𝑚sin255°
=−19.32 𝑘𝑚
X = Y =
𝐴𝑥=𝐴cos𝜃 = 15 𝑚 𝑠
⁄cos320°
=11.5 𝑚 𝑠
⁄
𝐴𝑦= 𝐴sin𝜃 = 15𝑚 𝑠
⁄sin320°
=−9.64 𝑚 𝑠
⁄
X = Y =
𝐴𝑥=𝐴cos𝜃 = 45 𝑁 cos200°
=−42.3 𝑁 𝑙𝑏
𝐴𝑦= 𝐴sin𝜃 = 45 𝑁 sin 200°
=−15.4 𝑁
X = Y =
𝐴𝑥=𝐴cos𝜃 = 15 𝑓𝑡 cos80°
= 2.6 𝑓𝑡
𝐴𝑦= 𝐴sin 𝜃 = 15 𝑓𝑡 sin80°
=14.8 𝑓𝑡 𝑙𝑏
X = Y =
𝐴𝑥=𝐴cos𝜃 = 6 𝑚𝑖cos270° =0
𝐴𝑦= 𝐴 sin 𝜃 = 6 𝑚𝑖sin270°
= 6 𝑚𝑖
X = Y =
𝐴𝑥=𝐴cos𝜃 = 50 𝑚 𝑠2
⁄cos0°
=50 𝑚 𝑠2
⁄
𝐴𝑦= 𝐴sin 𝜃 = 50 𝑚 𝑠2
⁄sin0°
=0
X = Y =
𝐴𝑥=𝐴cos𝜃100𝑚 𝑠
⁄cos330°
=86.8 𝑚 𝑠
⁄
𝐴𝑦=𝐴sin𝜃100𝑚 𝑠
⁄sin330°
=−50 𝑚 𝑠
⁄
40 m, 40o from horizontal
9 lb, 20o from hroizontal
20 km 15o from vertical
15 m/s, 50o from vertical
45N, 70o from vertical
15 ft, 80o from horizontal
50 m/s2, 0o from horizontal
100 m/s, 30o from horizontal
Ax
Ax
Ax
Ax
Ax
Ay
Ay
Ay
Ay
Ay
Ay
Ay
Ay
Ax
Ax
pf3
pf4
pf5

Partial preview of the text

Download Solutions to Vector Components Worksheet and more Exercises Chemistry in PDF only on Docsity!

Solutions to Physics I C Vector Components Worksheet

Vector Components Worksheet

  1. Using dotted lines, draw the horizontal and vertical components for each vector shown below. Show only one pair of the components.
  2. Using the angles given on the diagrams in problem #1 above, calculate the values of the horizontal ( x ) and vertical ( y ) components for each diagram you did above, showing your work in the box for each below. Note: Be sure your calculator is in “DEGREE” mode before doing your calculations.

X = Y = 𝐴𝑥 = 𝐴 cos 𝜃 = 40 𝑚 cos 140° = − 30. 6 𝑚 𝐴𝑦 = 𝐴 sin 𝜃 = 40 𝑚 sin 140° = 25. 7 𝑚

X = Y =

𝐴𝑥 = 𝐴 cos 𝜃 = 9 𝑙𝑏 cos 20° = 8. 46 𝑙𝑏 𝐴𝑦 = 𝐴 sin 𝜃 = 9 𝑙𝑏 sin 20° = 3. 08 𝑙𝑏

X = Y =

𝐴𝑥 = 𝐴 cos 𝜃 = 20 𝑘𝑚 cos 255° = − 5. 18 𝑘𝑚 𝐴𝑦 = 𝐴 sin 𝜃 = 20 𝑘𝑚 sin 255° = − 19. 32 𝑘𝑚 X = Y = 𝐴𝑥 = 𝐴 cos 𝜃 = 15 𝑚 ⁄𝑠 cos 320° = 11. 5 𝑚 ⁄𝑠 𝐴𝑦 = 𝐴 sin 𝜃 = 15 𝑚 ⁄𝑠 sin 320° = − 9. 64 𝑚 ⁄𝑠

X = Y =

𝐴𝑥 = 𝐴 cos 𝜃 = 45 𝑁 cos 200° = − 42. 3 𝑁 𝑙𝑏 𝐴𝑦 = 𝐴 sin 𝜃 = 45 𝑁 sin 200° = − 15. 4 𝑁

X = Y =

𝐴𝑥 = 𝐴 cos 𝜃 = 15 𝑓𝑡 cos 80° = 2. 6 𝑓𝑡 𝐴𝑦 = 𝐴 sin 𝜃 = 15 𝑓𝑡 sin 80° = 14. 8 𝑓𝑡 𝑙𝑏 X = Y = 𝐴𝑥 = 𝐴 cos 𝜃 = 6 𝑚𝑖 cos 270° = 0 𝐴𝑦 = 𝐴 sin 𝜃 = 6 𝑚𝑖 sin 270° = 6 𝑚𝑖

X = Y =

𝐴𝑥 = 𝐴 cos 𝜃 = 50 𝑚 ⁄𝑠 2 cos 0° = 50 𝑚 ⁄𝑠^2 𝐴𝑦 = 𝐴 sin 𝜃 = 50 𝑚 ⁄𝑠^2 sin 0° = 0

X = Y =

𝐴𝑥 = 𝐴 cos 𝜃 100 𝑚 ⁄𝑠 cos 330° = 86. 8 𝑚 ⁄𝑠 𝐴𝑦 = 𝐴 sin 𝜃 100 𝑚 ⁄𝑠 sin 330° = − 50 𝑚 ⁄𝑠

40 m, 40o^ from horizontal 9 lb, 20o^ from hroizontal 20 km 15o^ from vertical

15 m/s, 50o^ from vertical 45N, 70o^ from vertical 15 ft, 80o^ from horizontal

6 mi, 0o^ from vertical 50 m/s^2 , 0o^ from horizontal 100 m/s, 30o^ from horizontal

Ax

Ax

Ax^ Ax

Ax

Ay^ Ay

Ay

Ay Ay

Ay

Ay

Ay

Ax

Ax

  1. A dodge ball player is trying to avoid getting hit by the opposing team. The player runs 2.7 m at an angle 37o They then run 4.9 m at an angle of 62o^. Then then runs 1.7 m at an angle of 13o^.

a. Draw the x and y components of the b. Calculate the resultant displacement. individual vectors on the diagram below.

𝐴𝑥 = 𝐴 cos 𝜃 = 2.7 𝑚 cos 37° = 2.16 𝑚 𝐴𝑦 = 𝐴 sin 𝜃 = 2.7 𝑚 sin 37° = 1.62 𝑚

𝐵𝑥 = 𝐵 cos 𝜃 = 4.9 𝑚 cos 62° = 2.30 𝑚 𝐵𝑦 = 𝐵 sin 𝜃 = 4.9 𝑚 sin 62° = 4.33 𝑚

𝐶𝑥 = 𝐶 cos 𝜃 = 1.7 𝑚 cos 13° = 1.65 𝑚 𝐶𝑦 = 𝐶 sin 𝜃 = 1.7 𝑚 sin 13° = 0.38 𝑚

𝑅𝑥 = 𝐴𝑥 + 𝐵𝑥 + 𝐶𝑥 = 2.16 𝑚 + 2.30 𝑚 + 1.65 𝑚 = 6.11 𝑚 𝑅𝑦 = 𝐴𝑦 + 𝐵𝑦 + 𝐶𝑦 = 1.62 𝑚 + 4.33 𝑚 + 0.38 𝑚 = 6.33 𝑚

𝑅 = √𝑅𝑥^2 + 𝑅𝑦^2 = √(6.11 𝑚)^2 + (6.33 𝑚)^2 = 8.80 𝑚

𝜃 = tan−1^ (

𝑅𝑥^ ) = tan

Vector A

Ax Ay

Vector B

Bx By

Vector C

Cx Cy

  1. A rocket hits the ground at an angle of 60o^ from the horizontal at a speed of 300 m/s. a. Draw the vector representing the b. Calculate the horizontal and vertical components rocket’s impact and show the westward of the rocket’s impact velocity. and eastward components of it’s velocity.

𝐴𝑥 = 𝐴 cos 𝜃 = 300 𝑚 𝑠⁄ cos 60° = 150 𝑚 𝑠⁄ ℎ𝑜𝑟𝑖𝑧𝑜𝑛𝑡𝑎𝑙 𝐴𝑦 = 𝐴 sin 𝜃 = 300 𝑚 𝑠⁄ sin 60° = 259.8 𝑚 𝑠⁄ 𝑣𝑒𝑟𝑡𝑖𝑐𝑎𝑙

Ay

Ax

A squirrel runs out into the street in front of your car. The squirrel runs at an angle of 39o^ for 3.0 m, turns around and runs 5.5 m at an angle of 51o^. a. Draw the individual vectors. b. Calculate the resultant vector.

𝐴𝑥 = 𝐴 cos 𝜃 = 3.0 𝑚 cos 39° = 2.33 𝑚 𝐴𝑦 = 𝐴 sin 𝜃 = 3.0 𝑚 sin 39° = 1.89 𝑚

𝐵𝑥 = 𝐵 cos 𝜃 = 5.5 𝑚 cos 51° = 3.46 𝑚 𝐵𝑦 = 𝐵 sin 𝜃 = 5.5 𝑚 sin 51° = 4.27 𝑚

𝑅𝑥 = 𝐴𝑥 + 𝐵𝑥 = 2.33 𝑚 + 3.46 𝑚 = 5.79 𝑚 𝑅𝑦 = 𝐴𝑦 + 𝐵𝑦 = 1.89 𝑚 + 4.27 = 6.16 𝑚

𝑅 = √𝑅𝑥^2 + 𝑅𝑦^2 = √(5.79 𝑚)^2 + (6.16 𝑚)^2 = 8.45 𝑚

𝜃 = tan−1^ (

𝑅𝑥^ ) = tan

Vector A

Ax Ay

Vector B

Bx By