Solving Kinetic Energy: How Do I Rearrange the Equation for Mass?

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SUMMARY

The discussion focuses on rearranging the kinetic energy equation, defined as Kinetic Energy (J) = 0.5 x Mass (Kg) x Velocity² (m/s). To find the mass of an object given its kinetic energy and velocity, the equation can be manipulated algebraically. For an object with 2J of kinetic energy traveling at 2m/s, the mass is calculated as 1kg, leading to a weight of 10N when using the approximation of gravitational acceleration (g) as 10m/s². The key takeaway is the importance of unit consistency in calculations.

PREREQUISITES
  • Understanding of basic algebra
  • Familiarity with the kinetic energy formula
  • Knowledge of units of measurement (Joules, Newtons, Kilograms)
  • Basic physics concepts related to mass and weight
NEXT STEPS
  • Study the derivation of the kinetic energy formula
  • Learn about the relationship between mass and weight in physics
  • Explore different methods for solving algebraic equations
  • Investigate the effects of varying velocity on kinetic energy
USEFUL FOR

Students studying physics, educators teaching mechanics, and anyone interested in understanding the principles of kinetic energy and its calculations.

thomas49th
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Hi, I know the kinetic energy equation is

Kinetic Energy(J) = 0.5 x Mass (Kg) x velocity² (m/s)

So how do I rearrange it. I've been having problems with it

I have a question here

What is the weight of an object traveling at 2m/s with 2J of kinetic energy?


the answer is 10N, but how?

Thanks
 
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thomas49th said:
What is the weight of an object traveling at 2m/s with 2J of kinetic energy?

If you know the velocity and the kinetic energy of the object, what can you calculate from the definition of kinetic energy? You wrote it down already.
 
write it like this
2J=(1/2)m(2m/s)^2
algebra.
then you need to get weight from mass.
 
1N so weight is

1 x 10 = 10N/Kg?
 
thomas49th said:
1N so weight is

1 x 10 = 10N/Kg?

If you round up g to equal 10, then you have W = mg = 1 [kg] * 10 [m/s^2] = 10 [kg m /s^2] = 10 [N] ! Watch out for units!
 

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