Loss of Kinetic Energy during Perfectly Inelastic Collision Calculator

✖Mass of body A is the measure of the quantity of matter that a body or an object contains.ⓘ Mass of Body A [m₁]			+10% -10%
✖Mass of body B is the measure of the quantity of matter that a body or an object contains.ⓘ Mass of Body B [m₂]			+10% -10%
✖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.ⓘ Initial Velocity of Body A Before the Collision [u₁]			+10% -10%
✖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.ⓘ Initial Velocity of Body B Before the Collision [u₂]			+10% -10%

✖Loss of K.E during perfectly inelastic collision, in this type of collision, the objects involved in the collisions do not stick, but some kinetic energy is still lost.ⓘ Loss of Kinetic Energy during Perfectly Inelastic Collision [E_{L inelastic}]

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Loss of Kinetic Energy during Perfectly Inelastic Collision

Formula

`"E"_{"L inelastic"} = ("m"_{"1"}*"m"_{"2"}*("u"_{"1"}-"u"_{"2"})^2)/(2*("m"_{"1"}+"m"_{"2"}))`

Example

`"104.4837J"=("30kg"*"13kg"*("5.2m/s"-"10m/s")^2)/(2*("30kg"+"13kg"))`

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Loss of Kinetic Energy during Perfectly Inelastic Collision Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
E_{L inelastic} = (m₁*m₂*(u₁-u₂)^2)/(2*(m₁+m₂))
This formula uses 5 Variables

Variables Used

Loss of K.E During Perfectly Inelastic Collision - (Measured in Joule) - Loss of K.E during perfectly inelastic collision, in this type of collision, the objects involved in the collisions do not stick, but some kinetic energy is still lost.
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.
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.
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
Mass of Body B: 13 Kilogram --> 13 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
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

E_{L inelastic} = (m₁*m₂*(u₁-u₂)^2)/(2*(m₁+m₂)) --> (30*13*(5.2-10)^2)/(2*(30+13))

Evaluating ... ...

E_{L inelastic} = 104.483720930233

STEP 3: Convert Result to Output's Unit

104.483720930233 Joule --> No Conversion Required

FINAL ANSWER

104.483720930233 ≈ 104.4837 Joule <-- Loss of K.E During Perfectly Inelastic Collision

(Calculation completed in 00.020 seconds)

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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

Loss of Kinetic Energy during Perfectly Inelastic Collision Formula

What happens in an inelastic collision?

An inelastic collision is one in which objects stick together after impact, and kinetic energy is not conserved. This lack of conservation means that the forces between colliding objects may convert kinetic energy to other forms of energy, such as potential energy or thermal energy.

How to Calculate Loss of Kinetic Energy during Perfectly Inelastic Collision?

Loss of Kinetic Energy during Perfectly Inelastic Collision calculator uses 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)) to calculate the Loss of K.E During Perfectly Inelastic Collision, Loss of kinetic energy during perfectly 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. Loss of K.E During Perfectly Inelastic Collision is denoted by E_{L inelastic} symbol.

How to calculate Loss of Kinetic Energy during Perfectly Inelastic Collision using this online calculator? To use this online calculator for Loss of Kinetic Energy during Perfectly Inelastic Collision, enter Mass of Body A (m₁), Mass of Body B (m₂), Initial Velocity of Body A Before the Collision (u₁) & Initial Velocity of Body B Before the Collision (u₂) and hit the calculate button. Here is how the Loss of Kinetic Energy during Perfectly Inelastic Collision calculation can be explained with given input values -> 104.4837 = (30*13*(5.2-10)^2)/(2*(30+13)).

FAQ

What is Loss of Kinetic Energy during Perfectly Inelastic Collision?

Loss of kinetic energy during perfectly 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 and is represented as E_{L inelastic} = (m₁*m₂*(u₁-u₂)^2)/(2*(m₁+m₂)) or 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)). 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, 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 & 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 Loss of Kinetic Energy during Perfectly Inelastic Collision?

Loss of kinetic energy during perfectly 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 is calculated using 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)). To calculate Loss of Kinetic Energy during Perfectly Inelastic Collision, you need Mass of Body A (m₁), Mass of Body B (m₂), Initial Velocity of Body A Before the Collision (u₁) & Initial Velocity of Body B Before the Collision (u₂). With our tool, you need to enter the respective value for Mass of Body A, Mass of Body B, Initial Velocity of Body A Before the Collision & 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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