Kinetic Energy and Velocity

In summary, the correct equation to use for calculating the velocity of a molecule with a given mass and kinetic energy is KE = mv^2 / 2. After plugging in the given values, the calculated velocity is 48.6 m/s, which is the correct answer. It is important to check units when using this equation, as using the incorrect units may result in an incorrect answer.
  • #1
curiousgeorge99
16
0

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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  • #3
check ur units. that's the correct equation to use
and I get 485 too
 

What is kinetic energy?

Kinetic energy is the energy an object possesses due to its motion. It is directly proportional to the mass of the object and to the square of its velocity.

How is kinetic energy calculated?

Kinetic energy is calculated by multiplying the mass of an object by its velocity squared, and then dividing by two. The formula is KE = 1/2 * m * v^2, where KE is kinetic energy, m is the mass of the object, and v is the velocity.

What is the relationship between kinetic energy and velocity?

The relationship between kinetic energy and velocity is direct and proportional. This means that as the velocity of an object increases, so does its kinetic energy. Similarly, when the velocity decreases, the kinetic energy also decreases.

What are the units of kinetic energy?

The SI unit of kinetic energy is joule (J). However, it can also be expressed in other units such as kilogram-meter squared per second squared (kg · m^2/s^2) or Newton-meter (N · m).

Can kinetic energy be converted into other forms of energy?

Yes, kinetic energy can be converted into other forms of energy, such as potential energy, heat, or light. This is known as the principle of conservation of energy, which states that energy can neither be created nor destroyed, but can only be transformed from one form to another.

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