Question

If the momentum ofa body is increased by 50%, its kinetic energy will increase by
​

Answer 1

Answer:

Let, the initial momentum of the body is p.

The change in momentum is

p

′

=p+

100

50

p

p

′

=p+0.5p=1.5p

The kinetic energy of the body is

E=

2

1

mv

2

E=

2m

(mv)

2

=

2m

p

2

.......(1)

Since, p=mv

where m is the mass of the body

Now, the kinetic energy of the body due to changed momentum is

E

′

=

2m

(mv

′

)

2

=

2m

p

′2

..........(2)(since, p

′

=mv

′

)

From (1) and (2)

E

E

′

=

p

2

p

′2

E

E

′

=

p

2

(1.5p)

2

E

E

′

=2.25

E

′

=2.25E

The percent change in kinetic energy is

E

E

′

−E

×100=

E

2.25E−E

×100

⇒1.25×100=125%

Answer 2

Answer:

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