Question

two cars of equal masses,ratio of there kinetic energy is 1:9 find there velocities​

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If two bodies of equal masses move with uniform velocity of 'v' and '3v', what will be the ratio of their kinetic energies?

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Solution

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Mass of first body =m

Velocity of the first body =v

Mass of second body =m

Velocity of second body =3v

The ratio of kinetic energies of the two bodies =

Kineticenergiesofsecondbody

Kineticenergiesoffirstbody

=

2

1

m(3v)

2

2

1

mv

2

=

2

9

mv

2

2

1 mv

2=9/1

The ratio of the kinetic energies =1:9