How Do You Calculate Velocity from Kinetic Energy?

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SUMMARY

The discussion focuses on calculating the velocity of a molecule given its kinetic energy (KE) and mass. Using the formula KE = mv² / 2, participants confirmed that the correct calculation yields a velocity of approximately 48.6 m/s, not the initially calculated 15.34 m/s. The correct approach involves using the equation to derive velocity as v = sqrt(2*KE/m), which leads to the accurate result of 48.5 m/s when substituting the provided values.

PREREQUISITES
  • Understanding of kinetic energy and its formula (KE = mv² / 2)
  • Basic algebra for manipulating equations
  • Familiarity with units of mass (kilograms) and energy (Joules)
  • Ability to perform square root calculations
NEXT STEPS
  • Learn how to derive formulas from physical principles, specifically for kinetic energy
  • Study unit conversions between Joules and other energy units
  • Explore the implications of mass on velocity in different contexts
  • Investigate real-world applications of kinetic energy calculations in physics
USEFUL FOR

Students studying physics, educators teaching mechanics, and anyone interested in understanding the relationship between kinetic energy and velocity.

curiousgeorge99
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Homework Statement


A molecule has mass 5.3 x 10^-26 Kg and KE 6.24 x10^-21. What is the velocity in m/s?

Homework Equations


KE = mv^2 / 2


The Attempt at a Solution


I plug the numbers into the equation and get an answer of 15.34, but the correct answer is 48.6 m/s. Is this the wrong equation?
 
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check ur units. that's the correct equation to use
and I get 485 too
 

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