Question

Two bodies A and B with masses 4 kg and
16 kg, respectively, have the same kinetic
energy. Calculate the ratio of velocity of A to B.
Ans:2:1​

Answer 1

kinetic energy is given by:

so taking velocity for mass 1kg aasV1

, we get

and taking velocity for mass 4kg as v1, we have

given that

$e_{1} = e_{2}$

equating the above terms and simplifying, we get,

now , momentum is given by,

let us assume ,

$p_{1}$

as momentum for mass 1kg and

$p_{2}$

for mass 4kg

so ,

$p_{1} = 1 \times v_{1}$

$p_{2} = 4 \times v_{2}$

$\frac{ {p}^{1} }{ {p}^{2} } = \frac{1}{4}$

=1:4\{{{{{Mark me Brainlist}}}}