Question

the kinetic energy of a body of mass 2kg is 100J. calculate it's momentum​

Answer 1

Answer:

Explanation:

I/2 mv² = 100j

V^2 = 100

v = 10m/s.

mv = 2*10 = 20kg m.sec

Answer 2

Answer:

20 kg m/s

Explanation:

Relation between kinetic energy and momentum is

KE = p^2 / 2m

[ KE=kinetic energy , p = momentum ,  m=mass ]

Thus, putting the given values---->

100 = p^2 / 2 x 2

100 x 4 = p^2

p^2 = 400

p = 20 kg m/s

Extended Learning------->

PROOF OF THE RELATION BETWEEN KINETIC ENERGY AND MOMENTUM

p=mv  [equation  1]

KE = 1/2 mv^2  [equation  2]

Multiply equation 2 by m/m   (which is 1, thus no change)

KE = 1/2 mv^2 x m/m

KE = 1/2 (mv)^2 /m

Now substitute equation 1

KE = 1/2 (p)^2 / m

KE = p^2 / 2m

Thus, we proved the relation between kinetic energy and momentum.

Hope it helps :)

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