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Final Velocity Equation:
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The final velocity equation \( v = \sqrt{\frac{2 F s}{m}} \) calculates the final velocity of an object when a constant force is applied over a distance, assuming initial velocity is zero. This equation is derived from the work-energy principle.
The calculator uses the final velocity equation:
Where:
Explanation: The equation shows that final velocity depends on the square root of the ratio of work done (2Fs) to mass. This relationship demonstrates how energy is converted into kinetic energy.
Details: Calculating final velocity is essential in physics and engineering for understanding motion dynamics, energy transfer, and designing mechanical systems where objects are accelerated by constant forces.
Tips: Enter force in newtons (N), distance in meters (m), and mass in kilograms (kg). All values must be positive numbers greater than zero for accurate calculation.
Q1: When is this equation applicable?
A: This equation applies when a constant force is applied to an object over a distance, and the initial velocity is zero (u=0).
Q2: What if the initial velocity is not zero?
A: For non-zero initial velocity, use the equation: \( v = \sqrt{u^2 + \frac{2 F s}{m}} \), where u is the initial velocity.
Q3: Does this account for friction?
A: No, this equation assumes no energy losses due to friction or other dissipative forces. For real-world applications, additional factors may need to be considered.
Q4: What are typical units for this calculation?
A: Standard SI units are used: newtons for force, meters for distance, kilograms for mass, and meters per second for velocity.
Q5: Can this be used for variable forces?
A: No, this equation is specifically for constant forces. For variable forces, integration methods or other approaches are needed.