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Two bodies of masses 1kg and 4kg have equal linear momentum. what is the ration of their kinetic energy?

Posted by Savitajain Jain 7 years, 3 months ago

CBSE > Class 09 > Science

2 answers

Shweta Gulati 7 years, 3 months ago

As we know, momentum of a body = m x v

where m=mass of the body

v= velocity of the body

Kinetic energy of a body= mv²/2

We are given m₁= 1kg and m₂= 4kg

Also we are given that the momentum is same for both the bodies.

Let the velocity of m₁ be v₁and m₂ be v₂

so m₁x v₁ = m₂ x v₂

1 x v₁= 4 x v₂

v₁= 4v₂- (1)

K.E.₁= v₁²/2 and K.E.₂= 4v₂²/2

Using equation (1)

K.E.₁/ K.E.₂= (16v₂²/2)/ (4v₂²/2)

= 4:1

0Thank You

Sanchita Garg 7 years, 3 months ago

K.E. = p²/ 2m

Where p will be same for both the bodies ..

And putting the values of 'm'.. We will get the answer

0Thank You

ANSWER

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