Enter the mass (kg) and the change in velocity/speed (m/s) into the calculator to determine the Work From Velocity. 

Work From Velocity Formula

The following formula is used to calculate the Work From Velocity. 

W = 1/2*m*dV^2
  • Where W is the Work From Velocity (J)
  • m is the mass (kg) 
  • dV is the change in velocity/speed (m/s) 

To calculate work from velocity, multiply the mass times the change in velocity squared, then divide by 2.

How to Calculate Work From Velocity?

The following two example problems outline how to calculate the Work From Velocity.

Example Problem #1:

  1. First, determine the mass (kg). In this example, the mass (kg) is given as 81.
  2. Next, determine the change in velocity/speed (m/s). For this problem, the change in velocity/speed (m/s) is given as 58.
  3. Finally, calculate the Work From Velocity using the equation above: 

W = 1/2*m*dV^2

Inserting the values from above and solving the equation with the imputed values gives: 

W = 1/2*81*58^2= 136,242 (J)


FAQ

What is the significance of the “Work From Velocity” formula in physics?

The “Work From Velocity” formula is significant in physics as it helps in calculating the work done on an object when it undergoes a change in velocity. This is particularly useful in understanding energy transfer processes, especially in the context of kinetic energy and mechanical work. It provides a quantitative measure of the energy required to accelerate an object to a certain velocity, which is fundamental in dynamics and energy studies.

How does mass affect the work done from velocity?

Mass directly influences the work done from velocity, as seen in the formula W = 1/2*m*dV^2. Since mass (m) is a multiplier in the equation, an increase in mass results in a proportional increase in the work done for the same change in velocity. This relationship indicates that heavier objects require more work to achieve the same change in velocity compared to lighter objects, highlighting the role of mass in energy dynamics.

Can the “Work From Velocity” formula be applied to all types of motion?

The “Work From Velocity” formula specifically applies to linear motion where there is a clear change in velocity. It is most accurate in scenarios where the force applied is constant and acts in the direction of the motion, resulting in a uniform acceleration. For rotational motion or situations involving variable forces, other formulas and considerations are necessary to accurately calculate work.