Question

what will be the kinetic energy if velocity will be tripled?​

Answer 1

The energy possessed by a body because of its motion, equal to one half the mass of the body times the square of its speed is called its kinetic energy.

K

=

1

2

m

v

2

K=

2

1

​

mv

2

When,

v

=

2

v

v=2v,

K

′

=

1

2

m

(

2

v

)

2

K

′

=

2

1

​

m(2v)

2

K

′

=

4

×

1

2

m

v

2

K

′

=4×

2

1

​

mv

2

K

′

=

4

K

K

′

=4K

Hence, when velocity is doubled, kinetic energy becomes 4 times.

Answer 2

Kinetic energy is directly proportional to velocity²

therefore is velocity is tripled

Kinetic energy = 3² = 9 times

Hence,if the velocity is tripled Kinetic energy will become 9 times.

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