How Do You Derive Formulas from the Work-Kinetic Energy Theorem?

In summary, the formula for calculating work is W = F * d, with W representing work, F representing force, and d representing distance. The unit of measurement for work is joules (J). Kinetic energy is the energy an object possesses due to its motion and is directly related to work. Work can be positive, negative, or zero depending on the direction of force and displacement. Negative work occurs when the force and displacement are in opposite directions.
  • #1
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Homework Statement


We have Work=Kinetic Energy which is :
##A=E_k=Fd=\frac{1}{2}mv^2##
Find formulas of :
Force, distance, mass, velocity squared and velocity

Homework Equations


##A=E_k=Fd=\frac{1}{2}mv^2##

The Attempt at a Solution


##F=\frac{\frac{1}{2}mv^2}{d}##

##d=\frac{\frac{1}{2}mv^2}{F}##

##m=\frac{2Fd}{v^2}##

##v^2=\frac{2Fd}{m}##

##v=\sqrt{\frac{2Fd}{m}}##

Are all the formulas right found? Thanks ;)
 
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  • #2
Yes.
 

FAQ: How Do You Derive Formulas from the Work-Kinetic Energy Theorem?

What is the formula for calculating work?

The formula for calculating work is W = F * d, where W represents work, F represents force, and d represents distance.

2. What is the unit of measurement for work?

The unit of measurement for work is joules (J).

3. How is kinetic energy related to work?

Kinetic energy is the energy an object possesses due to its motion. It is directly related to work, as the work done on an object will result in a change in its kinetic energy. The formula for kinetic energy is KE = 1/2 * m * v^2, where m represents mass and v represents velocity.

4. Is work always positive?

No, work can be positive, negative, or zero. Positive work occurs when the force and displacement are in the same direction, negative work occurs when they are in opposite directions, and zero work occurs when there is no displacement.

5. Can work be negative?

Yes, work can be negative. Negative work occurs when the force and displacement are in opposite directions, meaning that the force is acting against the direction of motion.

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