Is KE Always Positive? An Explanation of Scalar and Vector Quantities

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Kinetic energy (KE) is always positive because it is defined by the formula E_k = 1/2 mv^2, where mass and velocity are squared, ensuring that the result is non-negative. Unlike vectors, which can have positive or negative values based on direction, KE is a scalar quantity with only magnitude. While potential energy can be negative relative to a reference point, energy itself cannot be negative. The discussion emphasizes that negative values in physics often relate to reference frames rather than the intrinsic nature of energy. Overall, KE remains a positive value due to its mathematical definition and physical principles.
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:cry: Why is KE never negative?
 
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What's the expression of KE you're familiar with?
 
Because like absolute temperature it is or isn't.

Think of counting numbers with respect to objects, like apples and oranges.

Does it mean anything to say that one has -5 oranges or apples? Of course, not!

With respect to vectors, vectors do have + or - values, but that has to do with orientation, not magnitude.

Often - numbers are relative to some reference number, as in -30°C, which is relative to 0°C, which on the absolute temperature scale is ~243 K (mks, or SI).
 
Energy of no kind is ever negative. KE is an energy. So it cannot be negative. Pls show me somewhere when energy is negative.
 
Without very little scientific knowlage it is very simple to observe why kinetic energy is never negative. Kinetic energy is given by;
E_k = \frac{1}{2}mv^2
Now, the only two variables are mass and velocity.

Ask yourself the following questions:

(1) Is it possible to have a negative mass?

(2) Is it possible to have a negative velocity?

(3) What happens when you square a negative number?

I hope this helps :smile:
 
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vaishakh said:
Energy of no kind is ever negative. KE is an energy. So it cannot be negative. Pls show me somewhere when energy is negative.
Since total energy is a matter of frame of reference, it is possible for an object to be observed to have a negative quantity of potential energy. Such as an object on the surface of a planet will have a negative potential energy, and the electron of a hydrogen atom is said to be at the -13 eV energy level.

This is, again, relative to the observer, and subject to conventional definitions of the "zero" point of potential energy, but no matter where this zero point is set, there will be something that could be observed to be at a negative level.
 
Thank you

Thank you to all for your assistance :-)
 
K.E is a scalar product..Meaning it has only a MAGNITUDE to it and no direction..For other quantites like Force or velocity, those are vectors, meaning that it has both DIRECTION and MAGNITUDE..hence, for such quantities, there is a -ve sign existing to tell you its direction from the equilibrium..
 
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