2objects having m and 2m respectively are moving with velocities 2v and v respectively what's the ratio of the kinetic energy of the object 1 to object 2
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Explanation:
Let velocity of body with m mass=V
Let velocity of body with 2m mass=V'
Let kinetic energy of m mass be E1
and kinetic energy 2m mass be E2
Given, Linear momentum of body with m mass = Linear momentum of body with 2m mass
Linearmomentum(m)=Mass×velocity=MV
Kineticenergy(E)=
2
1
MV
2
mV=2mV
′
So,V=2V
′
E1=
2
1
mV
2
andE2=
2
1
2mV
′
2
E1=
2
1
m(2V
′
)
2
=
2
1
2mV
′
2
×2=E2×2
So
E2
E1
=2
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