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### This Is a Certified Answer

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Monmentum, p = m x v

so v= p/m

K.E. = 1/2 mv²

=1/2 m (p/m)²

=1/2 m x p²/m x m

=p²/2m

so, according to the question,

K.E. = 500J

⇒500 = p² / 2 x 100

⇒p² = 500 x .2

⇒p = √100.0 = 10

so momentum is 10 kg.m/s

so v= p/m

K.E. = 1/2 mv²

=1/2 m (p/m)²

=1/2 m x p²/m x m

=p²/2m

so, according to the question,

K.E. = 500J

⇒500 = p² / 2 x 100

⇒p² = 500 x .2

⇒p = √100.0 = 10

so momentum is 10 kg.m/s

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.

Given-

Mass=100g

=0.1

Kinetic energy=500 j

we know,

1/2×0.1×v²=500

or, 0.1×v²=500×2

or,1/10×v²=1000

or,v²=10000

or,v=√10000

or,v=100

we know that momentum of a body is=m×v

=0.1×100

=1/10×100

=10 kgm/s

Hope it helps...............

Mass=100g

=0.1

Kinetic energy=500 j

we know,

1/2×0.1×v²=500

or, 0.1×v²=500×2

or,1/10×v²=1000

or,v²=10000

or,v=√10000

or,v=100

we know that momentum of a body is=m×v

=0.1×100

=1/10×100

=10 kgm/s

Hope it helps...............