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Help proving i = j = k = 1

  • Thread starter Panphobia
  • Start date
  • #1
435
13
I have been stuck on this problem for a while, I was looking at questions in a textbook, and could not figure this question out

"Peter came out with a new energy equation
E = (C)(M^i)(a^j)(d^k)
M is mass, a is acceleration, d is distance, and C is a dimensionless constant,
prove that i = j = k = 1"

How would you even start with this?

Regards, Panphobia
 

Answers and Replies

  • #2
CAF123
Gold Member
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Hint: dimensional analysis
 
  • #3
435
13
I know that dimensional analysis is being able to state Mass, Length, and Time in terms of each other. But I do not know how that helps me prove that i = j = k = 1.
 
  • #4
arildno
Science Advisor
Homework Helper
Gold Member
Dearly Missed
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Write the dimension of energy, by means of the dimensions of mass, length and time!
 
  • #5
435
13
Thank you everyone that helped me and gave me hints, I figured it out!
 

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