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Vector Addition Worksheet for Physics 2A, Assignments of Physics

Sierra CollegePhysics

This worksheet provides problems related to adding vectors a, b, and c with given magnitudes and directions. Students are required to find the x and y components of each vector, sum the components, and then use the pythagorean theorem to find the magnitude and direction of the resultant vector. Additionally, the worksheet includes questions about the maximum and minimum possible lengths of the sum of vectors a and b.

Typology: Assignments

Pre 2010

Uploaded on 07/30/2009

koofers-user-up0
koofers-user-up0 🇺🇸

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Physics 2A
Name_________________
Vector Worksheet
Turn this problem in at the beginning of the next lecture.
Let’s add the following three vectors. Sketch the vectors.
Vector A: 30.0m/s at 36.9o West of South
Vector B: 60.0m/s at 66.4o North of West
Vector C: 90.0m/s at 45.5o East of North
1st step: find the x-component of A:_____________________________
find the x-component of B:_____________________________
find the x-component of C:_____________________________
2nd step: find the y-component of A:___________________________________
find the y-component of B:___________________________________
find the y-component of C:___________________________________
3 rd
step :
Sum the x-components:_____________________________________
Sum the y-components:_____________________________________
4 th
step : Use Pythagorean Theorem to find magnitude of resultant
Magnitude:______________________________________________
5 th
step : Calculate direction of resultant vector using
arctan R
y
R
x


 


Angle:______________________________________________
1
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Physics 2A

Name_________________

Vector Worksheet

Turn this problem in at the beginning of the next lecture. Let’s add the following three vectors. Sketch the vectors. Vector A: 30.0m/s at 36.9o^ West of South Vector B: 60.0m/s at 66.4o^ North of West Vector C: 90.0m/s at 45.5o^ East of North 1st step: find the x-component of A:_____________________________ find the x-component of B:_____________________________ find the x-component of C:_____________________________ 2nd step: find the y-component of A:___________________________________ find the y-component of B:___________________________________ find the y-component of C:___________________________________ 3 rd^ step: Sum the x-components:_____________________________________ Sum the y-components:_____________________________________ 4 th^ step: Use Pythagorean Theorem to find magnitude of resultant Magnitude:______________________________________________ 5 th^ step: Calculate direction of resultant vector using

arctan

Ry

Rx

Angle:______________________________________________ 1

Physics 2A The length of vector A is 250 units and the length of vector B is 350 units. If these two vectors are added together, what is the maximum possible length of their sum? Please illustrate your response with a drawing. What is the minimum possible length of their sum? Please illustrate your response with a drawing. Can that the magnitude of the sum A + B be equal to the magnitude of A or B? Please illustrate your response with a drawing. 2