Question

wo bullets are fired at the same time with the same kinetic energy. If one bullet has twice the mass of the other, which has the greater speed and by what factor? Which can do the most work?T

Answer 1

Answer:

velocity of other bullet will be $v_2^2=\sqrt{2}v_1$

As kinetic energy of both bullet are same so they will do same amount of work

Explanation:

We have given that two bullets are fired with same kinetic energy

So $KE_1=KE_2$

Let the mass of bullet 1 is $m_1$ and mass of bullet 2 is $m_2$

And their velocity are $v_1$ and $v_2$

According to question $m_1=2m_2$

So $\frac{1}{2}\times 2m_2\times v_1^2=\frac{1}{2}\times m_2\times v_2^2$

$v_2^2=2v_1^2$

$v_2^2=\sqrt{2}v_1$

So velocity of other bullet will be $v_2^2=\sqrt{2}v_1$

As kinetic energy of both bullet are same so they will do same amount of work