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If the momentum of an object is increased by 10% then its kinetic energy will increase by?
By BYJU'S Exam Prep
Updated on: September 25th, 2023
If the momentum of an object is increased by 10% then its kinetic energy will increase by 21%. Steps to calculate the increase in kinetic energy:
Step 1. Using the momentum definition
The relationship between velocity and mass is known as momentum.
Step 2. Using the Kinetic energy definition
The quantity of energy that a particle or object has as a result of its motion is known as kinetic energy.
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Step 3. It is given that
Final momentum = initial momentum + (10%) of initial momentum.
Step 4. We can calculate
Kinetic energy (KE)1 = p2/2m ….. (1)
Where p is the momentum, m is the mass of the body,
If we increase p by 10%,
Final p = p + p/10 = 11p/10, Substitute value of p in (1), we get
(KE)2 = (11p/10)2/2m = 121/100 . p2/2m = 121/100 . (KE)1
Change in kinetic energy, Δ KE = (KE)2 – (KE)1
= 121/100 (KE)1 – (KE)1
= (KE)1 [121/100 – 1]
= 21/100 (KE)1
So Δ KE/ (KE)1 x 100 = 21
The term used to describe the state of motion of an object with a mass greater than zero is momentum. As a result, momentum can be applied to any moving object.
Thus, if momentum increases by 10%, kinetic energy will change by 21%.
Summary:
If the momentum of an object is increased by 10% then its kinetic energy will increase by?
An object’s kinetic energy will rise by 21% if its momentum increases by 10%. Momentum is the property of the connection between mass and velocity.