Question

000
14.
Two bodies are moving with same kinetic energy and their masses are in the ratio 1:4. The ratio

of their velocities is

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Answer 1

$\bold{\red{KE=\dfrac{1}{2}mv²}}$

$\sf{KE\:is\:same→constant}$

$\bold{⇒m∝ \dfrac{1}{v²}}$

$\bold{⇒\dfrac{m_{1}}{m_{2}}=\dfrac{ v_{2}²}{v_{1}²}}$

$\bold{⇒\dfrac{1}{4}=\dfrac{ v_{2}²}{v_{1}²}}$

$\bold{⇒\sqrt{4}=\dfrac{ v_{1}}{v_{2}}}$

$\bold{⇒v_{1}:v_{2}=2:1}$