Grade 11General Physics
What is the increase in momentum if the kinetic energy is increased by 0.1% ?
What is the increase in momentum if the kinetic energy is increased by 0.1% ?
1 Answer
Arun
Let k1 be the initial kinetic energy,k2 be the final kinetic energy.
let p1 be intial momentum & p2 be final momentum.
acc. to question,
k2=k1+0.1%k1
k2=k1+0.001k1=1.001k1
1\2(mV2)2=1.001(1\2mV12)
V2=(√1.001)V1
on mutiplying by mass m,
mV2=(√1.001)mV1
p2=(√1.001)p1. now,
Δp=p2-p1 =>p1(√1.001-1)
%age of change in momentum=100(Δp\p1)
=(1.00049-1)100
=0.049%
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