Two bullets have masses of 3.0 g and 6.0 g, respectively. Both are fired with a speed of 40.0 m/s. Which bullet has more kinetic energy? What is the ratio of their kinetic energies?

1 Answer
P dilip_k
Apr 29, 2016

The second one with greater mass will have greater KE

Explanation:

We know KE = #E=1/2xxmv^2# , where ##m = mass and v = velocity of the moving body
Here

  • mass of 1st bullet #m_1=3g=3xx10^-3kg#
  • velocityof 1st bullet #v_1=40m/s#
  • mass of 2nd bullet #m_2=6g=6xx10^-3kg#
  • velocityof2ndbullet #v_2=40m/s#
  • KE of 1st bullet #E_1=1/2xx3xx10^-3xx40^2J#
  • KEof 2nd bullet #E_2=1/2xx6xx10^-3xx40^2J#
  • The ratio of KE #E_1/E_2=3/6=1/2#
    So #E_2>E_1#
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