Is Kilogram Force the Same as Kilogram Mass?

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SUMMARY

The discussion clarifies the distinction between kilogram force (kgf) and kilogram mass (kg). It establishes that 1 kgf is equivalent to the force exerted by a mass of 1 kg under standard gravity (9.8 m/s²), which translates to 9.8 Newtons (N). The confusion arises from equating mass directly with force, which is incorrect. The correct formula is F = mg, where F is in Newtons, m is in kilograms, and g is the acceleration due to gravity.

PREREQUISITES
  • Understanding of Newton's Second Law of Motion
  • Knowledge of units of measurement: kilograms (kg), Newtons (N), and kilogram force (kgf)
  • Basic grasp of gravitational acceleration (9.8 m/s²)
  • Familiarity with the concept of force as a product of mass and acceleration
NEXT STEPS
  • Study the relationship between mass and weight in physics
  • Learn about unit conversions between different force measurements
  • Explore the implications of gravitational variations on weight calculations
  • Investigate the historical context and usage of kgf in engineering and physics
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Students of physics, engineers, and anyone interested in understanding the differences between mass and weight, particularly in the context of gravitational forces.

Dell
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how do i convert a mass in kilograms to a weight in kgf??
should it not just be the same value?? is that not the idea of kgf??

for a weight on earth

if F=mg---> N=kg*9.8

and i know that
9.8N=1kgf

therefore
9.8N=9.82kg

giving me 1kgf=9.82Kg

this doesn't seem right to me,
can someone please explain it, thanks
 
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Dell said:
if F=mg---> N=kg*9.8

No. More like F=9.8N, or N=F/9.8.
 
how so, that is my whole problem,

if F=mg for example and

F is Newtons
m is Kg
g=9.8 m/s2

then Newtons=Kg*9.8

why is this incorrect??
 
Dell said:
how do i convert a mass in kilograms to a weight in kgf??
should it not just be the same value?? is that not the idea of kgf??

for a weight on earth

if F=mg---> N=kg*9.8
Here's your mistake. A Newton is the force required to accelerate 1 kg at 1 m/s2, not 9.8 m/s2.
 

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