Question

If momentum of a body is decreased by 50%, then kinetic energy will be decreased by
(1) 25% (2) 50% (3) 75% (4) 125% ​

Answer 1

Answer:

125%

Explanation:

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Answer 2

Answer:

P

f

=P

i

+

100

50

P

i

P

f

=

100

150

P

i

And, we know that

KE=

2m

P

2

ΔKE=

2m

P

f

2

−

2m

P

i

2

=

2m

(

100

150Pi

)

2

−

2m

P

i

2

=

2m

4

9P

i

2

−P

i

2

ΔKE=

8m

5P

i

2

Now,

% change=

KE

i

ΔKE

×100

=

2m

P

i

2

8m

5P

i

2

×100

=

4

5

×100

125%