How can I prove i = j = k = 1 in Peter's energy equation?

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Homework Help Overview

The discussion revolves around proving the exponents in Peter's energy equation, specifically that i = j = k = 1. The subject area involves dimensional analysis in the context of physics.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the concept of dimensional analysis and its relevance to the problem. Questions are raised about how to express the dimensions of energy in terms of mass, length, and time.

Discussion Status

Some participants have provided hints related to dimensional analysis, while others are exploring how to apply these concepts to the problem. There is acknowledgment of progress made by one participant, indicating that helpful guidance has been shared.

Contextual Notes

Participants are navigating the definitions and relationships between mass, length, time, and energy, with some uncertainty about how these relate to the specific exponents in the equation.

Panphobia
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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
 
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Hint: dimensional analysis
 
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.
 
Write the dimension of energy, by means of the dimensions of mass, length and time!
 
Thank you everyone that helped me and gave me hints, I figured it out!
 

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