Question

Find the momentum of a body of mass 2kg having a kinetic energy of 20J.

Answer 1

Answer:

The momentum will be 4√5 kgm/s

Explanation:

According to the problem the mass of the body is 2 kg and it has kinetic energy of 20 J

Now we know,

Kinetic Energy= 1/2 m u^2  [ where m is mass of the body and u is the velocity]

                         = 1/2 x 2 x u^2  = u^2

It is given that the Kinetic Energy  =20 J

 20 =u^2

20 =u^2

u=2 √ 5 m/s

Now we need to calculate the momentum

Let Momentum is o

Therefore, o =mu

                 o  =2 x 2√5 m/s

                     = 4√5 kgm/s

                 

Answer 2

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ANSWER :

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The mass of the object, m = 2 kg

The momentum of the object, p = ?

The Kinetic Energy, K.E = 20 J

We know that,,,

$kinetic\: energy \: = \frac{p {}^{2} }{2m}$

From this,,,,

20 = p^2 / 2 × 2

20 = p^2 / 4

p^2 = 20 ×4

p^2 = 4 (5)1/2

The momentum, p is 4 (5) 1/2 Kg m/s

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