Question

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​

Answer 1

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