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Find the ratio of the linear omenta of two particles of masses 1.0 kg and 4.0 kg if their kinetic energies are equal. |
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Answer» Let the mass of the two particle be `m_1,m_2` respectively `m_1=1kgm_2=4kg` `:.` According to question `(1/2)m_1v_2^2=(1/2)m_2v_2^2` `rarr m_1/m_2=v_2^2/v_1^2` `rarr v_2/v_1=sqrt(m_1/m_2)` `rarr v_1/v_2=(sqrt(m_2/m_1)` `Now, (m_1v_1)/(m_2v_2)=m_1/m_2 sqrt(m_2/m_1)` `=sqrt(m_1/m_2)=sqrt(1/4)=1/2` `rarr (m_1v_1)/(m_2v_20=1:2` |
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