Question About A Simple Formula

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SUMMARY

The discussion centers on deriving the unit of work done, expressed as kg·m²·s⁻², using fundamental physics equations. The key equations involved are acceleration (change in velocity/time), force (mass × acceleration), and work done (force × distance). By substituting the units of force and distance into the work done equation, participants clarify that work can be represented as mass multiplied by distance squared divided by time squared. This derivation confirms the standard unit of work in the International System of Units (SI).

PREREQUISITES
  • Understanding of basic physics concepts such as velocity, acceleration, and force.
  • Familiarity with the International System of Units (SI) for measuring physical quantities.
  • Knowledge of algebraic manipulation for unit conversion and substitution.
  • Basic comprehension of the relationship between mass, distance, and time in physics.
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  • Study the derivation of units in physics, focusing on work and energy concepts.
  • Learn about the relationship between force, mass, and acceleration in Newton's laws.
  • Explore dimensional analysis to understand how units interact in equations.
  • Investigate the significance of SI units in scientific calculations and measurements.
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Students studying physics, educators teaching mechanics, and anyone interested in understanding the principles of work and energy in physical systems.

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Homework Statement



Since velocity = distance / time, the units of velocity are metres / seconds or ms-1. Use the equations (below) to show that the unit of work done can be written as kg.m2.s-2.

acceleration = change in velocity / time
force = mass X acceleration
work done = force X distance

Homework Equations



None needed.

The Attempt at a Solution



Can anyone please explain to me what this question is asking me to do and how I might go about showing this?

Thanks guys for your help.
 
Last edited:
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getfirefox said:

Homework Statement



Homework Equations



None needed.

The Attempt at a Solution



Can anyone please explain to me what this question is asking me to do and how I might go about showing this?

Thanks guys for your help.

It's only a question about the "kind" of units.

Just show through substitution how the units for expressing work are
Mass*distance*distance over time*time
 

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