Final Velocity of Bodies A and B after Inelastic Collision Solution

STEP 0: Pre-Calculation Summary
Formula Used
Final Speed of A and B After Inelastic Collision = (Mass of Body A*Initial Velocity of Body A Before the Collision+Mass of Body B*Initial Velocity of Body B Before the Collision)/(Mass of Body A+Mass of Body B)
v = (m1*u1+m2*u2)/(m1+m2)
This formula uses 5 Variables
Variables Used
Final Speed of A and B After Inelastic Collision - (Measured in Meter per Second) - Final Speed of A and B after inelastic collision, is the last velocity of a given object after a period of time.
Mass of Body A - (Measured in Kilogram) - Mass of body A is the measure of the quantity of matter that a body or an object contains.
Initial Velocity of Body A Before the Collision - (Measured in Meter per Second) - The initial velocity of body A before the collision is the rate of change of its position with respect to a frame of reference and is a function of time.
Mass of Body B - (Measured in Kilogram) - Mass of body B is the measure of the quantity of matter that a body or an object contains.
Initial Velocity of Body B Before the Collision - (Measured in Meter per Second) - The initial velocity of body B before the collision is the rate of change of its position with respect to a frame of reference and is a function of time.
STEP 1: Convert Input(s) to Base Unit
Mass of Body A: 30 Kilogram --> 30 Kilogram No Conversion Required
Initial Velocity of Body A Before the Collision: 5.2 Meter per Second --> 5.2 Meter per Second No Conversion Required
Mass of Body B: 13 Kilogram --> 13 Kilogram No Conversion Required
Initial Velocity of Body B Before the Collision: 10 Meter per Second --> 10 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
v = (m1*u1+m2*u2)/(m1+m2) --> (30*5.2+13*10)/(30+13)
Evaluating ... ...
v = 6.65116279069767
STEP 3: Convert Result to Output's Unit
6.65116279069767 Meter per Second --> No Conversion Required
FINAL ANSWER
6.65116279069767 6.651163 Meter per Second <-- Final Speed of A and B After Inelastic Collision
(Calculation completed in 00.020 seconds)

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Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
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17 Kinetics Calculators

Loss of Kinetic Energy during Perfectly Inelastic Collision
Go Loss of K.E During Perfectly Inelastic Collision = (Mass of Body A*Mass of Body B*(Initial Velocity of Body A Before the Collision-Initial Velocity of Body B Before the Collision)^2)/(2*(Mass of Body A+Mass of Body B))
Final Velocity of Bodies A and B after Inelastic Collision
Go Final Speed of A and B After Inelastic Collision = (Mass of Body A*Initial Velocity of Body A Before the Collision+Mass of Body B*Initial Velocity of Body B Before the Collision)/(Mass of Body A+Mass of Body B)
Coefficient of Restitution
Go Coefficient of Restitution = (Final Velocity of Body A After Elastic Collision-Final Velocity of Body B After Elastic Collision)/(Initial Velocity of Body B Before the Collision-Initial Velocity of Body A Before the Collision)
Equivalent Mass Moment of Inertia of Geared System with Shaft A and Shaft B
Go Equivalent Mass MOI of Geared System = Mass Moment of Inertia of Mass Attached to Shaft A+(Gear Ratio^2*Mass Moment of Inertia of Mass Attached to Shaft B)/Gear Efficiency
Kinetic Energy of System after Inelastic Collision
Go Kinetic Energy of System After Inelastic Collision = ((Mass of Body A+Mass of Body B)*Final Speed of A and B After Inelastic Collision^2)/2
Impulsive Force
Go Impulsive Force = (Mass*(Final Velocity-Initial Velocity))/Time Taken to Travel
Loss of Kinetic Energy during Imperfect Elastic Impact
Go Loss of Kinetic Energy During an Elastic Collision = Loss of K.E During Perfectly Inelastic Collision*(1-Coefficient of Restitution^2)
Speed of Guide Pulley
Go Speed of Guide Pulley = Speed of Drum Pulley*Diameter of Drum Pulley/Diameter of Guide Pulley
Centripetal Force or Centrifugal Force for given Angular Velocity and Radius of Curvature
Go Centripetal Force = Mass*Angular Velocity^2*Radius of Curvature
Total Kinetic Energy of Geared System
Go Kinetic Energy = (Equivalent Mass MOI of Geared System*Angular Acceleration of Shaft A^2)/2
Overall Efficiency from Shaft A to X
Go Overall Efficiency from Shaft A to X = Gear Efficiency^Total no. of Gear Pairs
Angular Acceleration of Shaft B given Gear Ratio and Angular Acceleration of Shaft A
Go Angular Acceleration of Shaft B = Gear Ratio*Angular Acceleration of Shaft A
Gear Ratio when Two Shafts A and B are Geared Together
Go Gear Ratio = Speed of Shaft B in RPM/Speed of Shaft A in RPM
Angular Velocity given Speed in RPM
Go Angular Velocity = (2*pi*Speed of Shaft A in RPM)/60
Efficiency of Machine
Go Gear Efficiency = Output Power/Input Power
Power Loss
Go Power Loss = Input Power-Output Power
Impulse
Go Impulse = Force*Time Taken to Travel

Final Velocity of Bodies A and B after Inelastic Collision Formula

Final Speed of A and B After Inelastic Collision = (Mass of Body A*Initial Velocity of Body A Before the Collision+Mass of Body B*Initial Velocity of Body B Before the Collision)/(Mass of Body A+Mass of Body B)
v = (m1*u1+m2*u2)/(m1+m2)

What Is Inelastic Collision?

An inelastic collision is a collision in which there is a loss of kinetic energy. While the momentum of the system is conserved in an inelastic collision, kinetic energy is not.

How to Calculate Final Velocity of Bodies A and B after Inelastic Collision?

Final Velocity of Bodies A and B after Inelastic Collision calculator uses Final Speed of A and B After Inelastic Collision = (Mass of Body A*Initial Velocity of Body A Before the Collision+Mass of Body B*Initial Velocity of Body B Before the Collision)/(Mass of Body A+Mass of Body B) to calculate the Final Speed of A and B After Inelastic Collision, The final velocity of bodies A and B after inelastic collision is the last velocity of a given object after a period of time. Final Speed of A and B After Inelastic Collision is denoted by v symbol.

How to calculate Final Velocity of Bodies A and B after Inelastic Collision using this online calculator? To use this online calculator for Final Velocity of Bodies A and B after Inelastic Collision, enter Mass of Body A (m1), Initial Velocity of Body A Before the Collision (u1), Mass of Body B (m2) & Initial Velocity of Body B Before the Collision (u2) and hit the calculate button. Here is how the Final Velocity of Bodies A and B after Inelastic Collision calculation can be explained with given input values -> 6.651163 = (30*5.2+13*10)/(30+13).

FAQ

What is Final Velocity of Bodies A and B after Inelastic Collision?
The final velocity of bodies A and B after inelastic collision is the last velocity of a given object after a period of time and is represented as v = (m1*u1+m2*u2)/(m1+m2) or Final Speed of A and B After Inelastic Collision = (Mass of Body A*Initial Velocity of Body A Before the Collision+Mass of Body B*Initial Velocity of Body B Before the Collision)/(Mass of Body A+Mass of Body B). Mass of body A is the measure of the quantity of matter that a body or an object contains, The initial velocity of body A before the collision is the rate of change of its position with respect to a frame of reference and is a function of time, Mass of body B is the measure of the quantity of matter that a body or an object contains & The initial velocity of body B before the collision is the rate of change of its position with respect to a frame of reference and is a function of time.
How to calculate Final Velocity of Bodies A and B after Inelastic Collision?
The final velocity of bodies A and B after inelastic collision is the last velocity of a given object after a period of time is calculated using Final Speed of A and B After Inelastic Collision = (Mass of Body A*Initial Velocity of Body A Before the Collision+Mass of Body B*Initial Velocity of Body B Before the Collision)/(Mass of Body A+Mass of Body B). To calculate Final Velocity of Bodies A and B after Inelastic Collision, you need Mass of Body A (m1), Initial Velocity of Body A Before the Collision (u1), Mass of Body B (m2) & Initial Velocity of Body B Before the Collision (u2). With our tool, you need to enter the respective value for Mass of Body A, Initial Velocity of Body A Before the Collision, Mass of Body B & Initial Velocity of Body B Before the Collision 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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