Determine if the following physical equations are homogeneous

a) P=FV
c)F= mV^2
----
r

b) F=mV^2 (divided by r(radius)

I assume you mean dimensionally homogenous.

a) Power is work/time or force*distance/time. On the right side, force is velocity is distance/time, so force*distance/time checks.

c)
mass*length/time*length/time / length
mass*length/time^2
but force is mass*acceleration, or mass*length/time^2

O thnx...i actually had a test on it..do you know any good website that explains this?

Yes, I can recommend a few websites that explain dimensional homogeneity and provide examples.

1. Khan Academy: Khan Academy offers a comprehensive explanation of dimensional analysis, including the concept of dimensional homogeneity. They provide video lessons and interactive quizzes to help you understand the topic. You can visit their website at www.khanacademy.org.

2. Physics Classroom: Physics Classroom provides a detailed explanation of dimensional analysis and its significance in physics. They have interactive tutorials, practice problems, and even a dimensional analysis calculator to assist you in learning and applying the concept. Their website is www.physicsclassroom.com.

3. HyperPhysics: HyperPhysics is a valuable resource for studying various physics topics, including dimensional analysis. They offer clear explanations, diagrams, and examples to help you grasp the concept of dimensional homogeneity. You can find their website at hyperphysics.phy-astr.gsu.edu.

These websites should provide you with ample information and practice opportunities to better understand dimensional homogeneity and its application in physics.