Kinetic Energy of System after Inelastic Collision Solution

STEP 0: Pre-Calculation Summary
Formula Used
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
Ek = ((m1+m2)*v^2)/2
This formula uses 4 Variables
Variables Used
Kinetic Energy of System After Inelastic Collision - (Measured in Joule) - Kinetic Energy of system after inelastic collision, is the sum of the kinetic energies of all the particles in the system.
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.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Mass of Body A: 30 Kilogram --> 30 Kilogram No Conversion Required
Mass of Body B: 13 Kilogram --> 13 Kilogram No Conversion Required
Final Speed of A and B After Inelastic Collision: 21 Meter per Second --> 21 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ek = ((m1+m2)*v^2)/2 --> ((30+13)*21^2)/2
Evaluating ... ...
Ek = 9481.5
STEP 3: Convert Result to Output's Unit
9481.5 Joule --> No Conversion Required
FINAL ANSWER
9481.5 Joule <-- Kinetic Energy of System After Inelastic Collision
(Calculation completed in 00.004 seconds)

Credits

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

Kinetic Energy of System after Inelastic Collision Formula

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
Ek = ((m1+m2)*v^2)/2

What happens to kinetic energy in an 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. This is because some kinetic energy had been transferred to something else.

How to Calculate Kinetic Energy of System after Inelastic Collision?

Kinetic Energy of System after Inelastic Collision calculator uses 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 to calculate the Kinetic Energy of System After Inelastic Collision, The kinetic energy of system after inelastic collision is the sum of the kinetic energies of all the particles in the system. Kinetic energy is relative to a frame of reference, is always positive, and is sometimes given special names for different types of motion. Kinetic Energy of System After Inelastic Collision is denoted by Ek symbol.

How to calculate Kinetic Energy of System after Inelastic Collision using this online calculator? To use this online calculator for Kinetic Energy of System after Inelastic Collision, enter Mass of Body A (m1), Mass of Body B (m2) & Final Speed of A and B After Inelastic Collision (v) and hit the calculate button. Here is how the Kinetic Energy of System after Inelastic Collision calculation can be explained with given input values -> 9481.5 = ((30+13)*21^2)/2.

FAQ

What is Kinetic Energy of System after Inelastic Collision?
The kinetic energy of system after inelastic collision is the sum of the kinetic energies of all the particles in the system. Kinetic energy is relative to a frame of reference, is always positive, and is sometimes given special names for different types of motion and is represented as Ek = ((m1+m2)*v^2)/2 or 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. Mass of body A is the measure of the quantity of matter that a body or an object contains, Mass of body B is the measure of the quantity of matter that a body or an object contains & Final Speed of A and B after inelastic collision, is the last velocity of a given object after a period of time.
How to calculate Kinetic Energy of System after Inelastic Collision?
The kinetic energy of system after inelastic collision is the sum of the kinetic energies of all the particles in the system. Kinetic energy is relative to a frame of reference, is always positive, and is sometimes given special names for different types of motion is calculated using 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. To calculate Kinetic Energy of System after Inelastic Collision, you need Mass of Body A (m1), Mass of Body B (m2) & Final Speed of A and B After Inelastic Collision (v). With our tool, you need to enter the respective value for Mass of Body A, Mass of Body B & Final Speed of A and B After Inelastic 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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