When to Use Kg vs G in Physics Problems?

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SUMMARY

The discussion clarifies the use of kilograms (kg) and grams (g) in physics problems, emphasizing the importance of maintaining consistent units throughout calculations. The standard unit of mass in the SI system is the kilogram, but either unit can be used as long as all quantities are converted to the same unit. Additionally, it is established that acceleration and velocity can be assigned positive or negative values based on the chosen direction, with the convention being that upward is positive and downward is negative. The discussion also highlights that when velocity and acceleration are in opposite directions, they should be represented with different signs.

PREREQUISITES
  • Understanding of SI units, specifically the meter-kilogram-second (mks) system
  • Basic knowledge of physics concepts such as acceleration and velocity
  • Ability to perform unit conversions between kilograms and grams
  • Familiarity with vector quantities and their directional properties
NEXT STEPS
  • Study unit conversion techniques between kilograms and grams
  • Learn about vector representation in physics, focusing on direction and sign conventions
  • Explore the implications of using different units in physics calculations
  • Review examples of physics problems involving tension and forces to practice unit consistency
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone preparing for exams that involve calculations with mass, acceleration, and velocity in various unit systems.

pureouchies4717
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hi. i always thought that g was standard in all problems, until i started learning about tension and other forces, where kg is needed. can someone please clarify when i need kg and g? its for a test in an hour

also, when accel/velocity is pointing down, its negative right?
 
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The standard system of units (called the SI units) actually includes the kilogram as the standard unit of mass. This standard unit system is often called the "meter-kilogram-second" or "mks" system.

You do not specifically need to use either g or kg in any specific problem; you just have to ensure that your units are consistent throughout the problem. If all of the quantities in a given problem are in kilograms, it's probably easier to use kilograms. If all the quantities in a given problem are in grams, it's probably easier to use grams. If some of the quantities in a given problem are in grams, and others in kilograms, you will need to ensure they are all in the same units (either g or kg, whichever you prefer), before continuing.

Acceleration and velocity are not universally defined in terms of "up" or "down." While it's conventional to use positive values for the "up" direction, and negative values for the "down" direction, problems can be worded in the opposite sense. A well-written problem should include information about which direction is represented with which sign, like the following:

a rocket launched upwards with an acceleration of +5 m/s2...

- Warren
 
thank you

so, when velocity and acceleration are in oppposite directions, that it is the only time that they need to be separate signs, right?
 

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