Magnitude of Resultant Final Velocity after Collision of Two Vehicles Solution

STEP 0: Pre-Calculation Summary
Formula Used
Magnitude of Resultant Final Velocity = sqrt(Final Velocity after Collision in X-Direction^2+Final Velocity after Collision in Y-Direction^2)
Vfinal = sqrt(Vfx^2+Vfy^2)
This formula uses 1 Functions, 3 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Magnitude of Resultant Final Velocity - (Measured in Meter per Second) - Magnitude of Resultant Final Velocity is the velocity of an object after a collision, calculated considering the initial velocities and masses of the objects involved.
Final Velocity after Collision in X-Direction - (Measured in Meter per Second) - Final Velocity after Collision in X-Direction is the velocity of an object after a collision in the x-direction, describing the resulting motion of the vehicle.
Final Velocity after Collision in Y-Direction - (Measured in Meter per Second) - Final Velocity after Collision in Y-Direction is the velocity of an object after a collision in the y-direction, describing the resulting motion of the vehicle.
STEP 1: Convert Input(s) to Base Unit
Final Velocity after Collision in X-Direction: 4.44 Meter per Second --> 4.44 Meter per Second No Conversion Required
Final Velocity after Collision in Y-Direction: 6.67 Meter per Second --> 6.67 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vfinal = sqrt(Vfx^2+Vfy^2) --> sqrt(4.44^2+6.67^2)
Evaluating ... ...
Vfinal = 8.01264625451542
STEP 3: Convert Result to Output's Unit
8.01264625451542 Meter per Second --> No Conversion Required
FINAL ANSWER
8.01264625451542 8.012646 Meter per Second <-- Magnitude of Resultant Final Velocity
(Calculation completed in 00.004 seconds)

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Created by Syed Adnan
Ramaiah University of Applied Sciences (RUAS), bangalore
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After Collision Calculators

Total kinetic energy of two bodies after impact
​ LaTeX ​ Go Kinetic Energy After Impact = (1/2)*((Mass of First Particle*(Final Velocity of First Mass^2))+(Mass of Second Particle*(Final Velocity of Second Mass^2)))
Velocity of separation after impact
​ LaTeX ​ Go Velocity of Separation = Coefficient of Restitution*(Initial Velocity of First Mass-Initial Velocity of Second Mass)
Final Velocity after Collision in x-Direction
​ LaTeX ​ Go Final Velocity after Collision in X-Direction = Total Momentum X-Direction after Collision/Total Mass of Colliding Vehicles
Final Velocity of Vehicle after Collision
​ LaTeX ​ Go Final Velocity of Vehicle after Collision = Momentum of Two Vehicles after Collision/Total Mass of Two Vehicles

Magnitude of Resultant Final Velocity after Collision of Two Vehicles Formula

​LaTeX ​Go
Magnitude of Resultant Final Velocity = sqrt(Final Velocity after Collision in X-Direction^2+Final Velocity after Collision in Y-Direction^2)
Vfinal = sqrt(Vfx^2+Vfy^2)

What is the Resultant Final Velocity?

In the collision between the two cars, total system momentum is conserved. Yet this might not be apparent without an understanding of the vector nature of momentum. Momentum, like all vector quantities, has both a magnitude (size) and a direction. When considering the total momentum of the system before the collision, the individual momentum of the two cars must be added as vectors.

How to Calculate Magnitude of Resultant Final Velocity after Collision of Two Vehicles?

Magnitude of Resultant Final Velocity after Collision of Two Vehicles calculator uses Magnitude of Resultant Final Velocity = sqrt(Final Velocity after Collision in X-Direction^2+Final Velocity after Collision in Y-Direction^2) to calculate the Magnitude of Resultant Final Velocity, Magnitude of Resultant Final Velocity after Collision of Two Vehicles formula is defined as a measure of the total velocity of an object after a collision, taking into account the horizontal and vertical components of velocity, providing a comprehensive understanding of the object's motion after impact. Magnitude of Resultant Final Velocity is denoted by Vfinal symbol.

How to calculate Magnitude of Resultant Final Velocity after Collision of Two Vehicles using this online calculator? To use this online calculator for Magnitude of Resultant Final Velocity after Collision of Two Vehicles, enter Final Velocity after Collision in X-Direction (Vfx) & Final Velocity after Collision in Y-Direction (Vfy) and hit the calculate button. Here is how the Magnitude of Resultant Final Velocity after Collision of Two Vehicles calculation can be explained with given input values -> 8.012646 = sqrt(4.44^2+6.67^2).

FAQ

What is Magnitude of Resultant Final Velocity after Collision of Two Vehicles?
Magnitude of Resultant Final Velocity after Collision of Two Vehicles formula is defined as a measure of the total velocity of an object after a collision, taking into account the horizontal and vertical components of velocity, providing a comprehensive understanding of the object's motion after impact and is represented as Vfinal = sqrt(Vfx^2+Vfy^2) or Magnitude of Resultant Final Velocity = sqrt(Final Velocity after Collision in X-Direction^2+Final Velocity after Collision in Y-Direction^2). Final Velocity after Collision in X-Direction is the velocity of an object after a collision in the x-direction, describing the resulting motion of the vehicle & Final Velocity after Collision in Y-Direction is the velocity of an object after a collision in the y-direction, describing the resulting motion of the vehicle.
How to calculate Magnitude of Resultant Final Velocity after Collision of Two Vehicles?
Magnitude of Resultant Final Velocity after Collision of Two Vehicles formula is defined as a measure of the total velocity of an object after a collision, taking into account the horizontal and vertical components of velocity, providing a comprehensive understanding of the object's motion after impact is calculated using Magnitude of Resultant Final Velocity = sqrt(Final Velocity after Collision in X-Direction^2+Final Velocity after Collision in Y-Direction^2). To calculate Magnitude of Resultant Final Velocity after Collision of Two Vehicles, you need Final Velocity after Collision in X-Direction (Vfx) & Final Velocity after Collision in Y-Direction (Vfy). With our tool, you need to enter the respective value for Final Velocity after Collision in X-Direction & Final Velocity after Collision in Y-Direction and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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