Question #119ff

1 Answer
Jun 4, 2016

option (4) none of above

Explanation:

Let
- #m_A->"Mass of car A "#

  • #m_B->"Mass of car B "#

  • #v_A->"Velocity of car A "#

  • #v_B->"Velocity of car B"#

The given conditions are

  • #m_B=2xxm_A=>m_A/m_B=1/2#

  • #v_A=2xxv_B=>v_A/v_B=2#

Now

  • #"KE of car A" (E_A)=1/2xxm_Axxv_A^2#

  • #"KE of car B" (E_B)=1/2xxm_Bxxv_B^2#

  • #"Ratio of KE "=E_A/E_B=m_A/m_Bxx(v_A/v_B)^2=1/2xx2^2=2#