Question

Two bodies having kinetic energy 4j and 9 j have equal mass.and their momentum are P1 and P2 respectively then p1/p2 are

Answer 1

p1/p2 =

p=mv

m1v1/m2v2

Answer 2

The ratio of the momentum of two bodies is 2:3.

Explanation:

Given that,

Kinetic energy of body 1, $E_1=4\ J$

Kinetic energy of body 2, $E_2=9\ J$

Both have same masses. We need to find the ratio of their momentum. The kinetic energy in terms of its momentum is given by :

$E=\dfrac{p^2}{2m}$

Such that,

$\dfrac{E_1}{E_2}=(\dfrac{p_1}{p_2})^2$

$\dfrac{p_1}{p_2}=\sqrt{\dfrac{E_1}{E_2}}$

$\dfrac{p_1}{p_2}=\sqrt{\dfrac{4}{9}}$

$\dfrac{p_1}{p_2}=\dfrac{2}{3}$

So, the ratio of the momentum of two bodies is 2:3.

Learn more,

Kinetic energy

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