The components of a vector can be written (Vx, Vy, Vz).

Chapter 28, Problem 6P

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QUESTION:

(II) The components of a vector \(\vec{V}\) can be written \(\left(V_{x}, V_{y}, V_{z}\right)\) What are the components and length of a vector which is the sum of the two vectors, \(\vec{V}_{1} \text { and } \vec{V}_{2}\), whose components are  and

Equation Transcription:

 

 

Text Transcription:

\vec V

(Vx, Vy, Vz)

\vec V1 and \vec V2  

Questions & Answers

QUESTION:

(II) The components of a vector \(\vec{V}\) can be written \(\left(V_{x}, V_{y}, V_{z}\right)\) What are the components and length of a vector which is the sum of the two vectors, \(\vec{V}_{1} \text { and } \vec{V}_{2}\), whose components are  and

Equation Transcription:

 

 

Text Transcription:

\vec V

(Vx, Vy, Vz)

\vec V1 and \vec V2  

ANSWER:

Solution 6P Step 1: The cyclist is pedaling downhill. Thus he will gain kinetic energy, but will lose potential energy (with decreasing height). Increase in kinetic energy is balanced by decrease in potential energy. Mathematically, Increase in kinetic energy = Decrease in potential energy

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