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

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Homework Help Overview

The discussion revolves around rearranging the kinetic energy equation to solve for mass, specifically in the context of calculating the weight of an object given its kinetic energy and velocity. The subject area is physics, focusing on concepts of kinetic energy and weight.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants explore how to rearrange the kinetic energy equation and question the relationship between kinetic energy, mass, and velocity. There are attempts to apply algebraic manipulation to the equation and to derive weight from mass.

Discussion Status

Some participants have provided algebraic expressions and attempted to clarify the relationship between mass and weight. There is an ongoing exploration of how to correctly interpret the units and calculations involved, but no consensus has been reached on the method or final interpretation.

Contextual Notes

Participants are working under the constraints of a homework problem, which may limit the information available for discussion. There is also a mention of rounding gravitational acceleration for simplification, indicating assumptions being made in the 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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