Joules and Kinetic Energy [units wise]

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SUMMARY

The discussion centers on the relationship between kinetic energy (K.E) and its unit measurement in joules. K.E is defined as 0.5mv², where 'm' represents mass in kilograms and 'v' represents velocity in meters per second. The conversion of joules to Newton-meters (Nm) is clarified, establishing that Nm equals kg·m²/s². The confusion regarding the units of energy is resolved, confirming that both kinetic energy and gravitational potential energy (GPE) are expressed in joules, which are equivalent to Nm.

PREREQUISITES
  • Understanding of basic physics concepts, specifically kinetic energy and gravitational potential energy.
  • Familiarity with unit conversions, particularly between joules and Newton-meters.
  • Knowledge of the formula for kinetic energy: K.E = 0.5mv².
  • Basic grasp of Newton's second law of motion (F = ma).
NEXT STEPS
  • Study the derivation of kinetic energy and its implications in physics.
  • Explore the concept of gravitational potential energy (GPE) and its formula: GPE = mgh.
  • Learn about unit conversions in physics, focusing on energy units like joules and Newton-meters.
  • Investigate the relationship between force, mass, and acceleration in greater detail.
USEFUL FOR

Students of physics, educators teaching energy concepts, and anyone interested in understanding the principles of kinetic and gravitational potential energy.

thomas49th
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K.E is in joules

joules = 1Nm

Nm = m/s² . m
= m²/s²

therefore

k.e = 0.5mv²

m²/s² = kg . m²/s²

there is an extra kg. I don't see how

there is the same problem with GPe
GPE = m gh
m²/s² = kg . m²/s²

How can that be. The units of 0.5kgv² need to equal Nm

Thanks :)
 
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N = kg m s-2 ( from f=ma )

Energy = Nm = kg m2 s-2
 
i was just on my way to delete this post when i realized whay a stupid mistake i'd made.
F = ma
N = kg . m/s²
:blushing:
cheers :)
 

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