1}{2} mv^2\)m = mass of the body, v = velocity of the bodyCalculation:Given:mass m1 = 30 kg, M2 = 10 kgLet the velocity of RESPECTIVE body 1 and 2 = v1, v2The kinetic energy of body 1 and 2 is equal, KE1 = KE2\( \frac {1}{2} m_1v_1^2= \frac {1}{2} m_2v_2^2\)\( \frac {1}{2} (30) v_1^2 = \frac {1}{2} (10)v_2^2\) ⇒ \(\frac {v_1}{v_2} = \frac {1}{\sqrt3}\) \(\frac {P_1} {P_2} = \frac {m_1v_1}{m_2v_2} = \frac {30}{10}\times \frac {1}{\sqrt3}\)\(\frac {P_1} {P_2} = \frac {3}{1}\times \frac {1}{\sqrt3} = \frac {\SQRT 3}{1} = \sqrt3\)

"> 1}{2} mv^2\)m = mass of the body, v = velocity of the bodyCalculation:Given:mass m1 = 30 kg, M2 = 10 kgLet the velocity of RESPECTIVE body 1 and 2 = v1, v2The kinetic energy of body 1 and 2 is equal, KE1 = KE2\( \frac {1}{2} m_1v_1^2= \frac {1}{2} m_2v_2^2\)\( \frac {1}{2} (30) v_1^2 = \frac {1}{2} (10)v_2^2\) ⇒ \(\frac {v_1}{v_2} = \frac {1}{\sqrt3}\) \(\frac {P_1} {P_2} = \frac {m_1v_1}{m_2v_2} = \frac {30}{10}\times \frac {1}{\sqrt3}\)\(\frac {P_1} {P_2} = \frac {3}{1}\times \frac {1}{\sqrt3} = \frac {\SQRT 3}{1} = \sqrt3\)

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The ratio of the magnitude of linear momentum for two objects having mass 30 kg and 10 kg respectively with equal kinetic energy is

General Knowledge General Awareness in General Knowledge 8 months ago

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Concept:Linear momentum of a body is given as P = m x VThe kinetic energy of the body is given as \(K.E. = \frac {1}{2} mv^2\)m = mass of the body, v = velocity of the bodyCalculation:Given:mass m1 = 30 kg, M2 = 10 kgLet the velocity of RESPECTIVE body 1 and 2 = v1, v2The kinetic energy of body 1 and 2 is equal, KE1 = KE2\( \frac {1}{2} m_1v_1^2= \frac {1}{2} m_2v_2^2\)\( \frac {1}{2} (30) v_1^2 = \frac {1}{2} (10)v_2^2\) ⇒ \(\frac {v_1}{v_2} = \frac {1}{\sqrt3}\) \(\frac {P_1} {P_2} = \frac {m_1v_1}{m_2v_2} = \frac {30}{10}\times \frac {1}{\sqrt3}\)\(\frac {P_1} {P_2} = \frac {3}{1}\times \frac {1}{\sqrt3} = \frac {\SQRT 3}{1} = \sqrt3\)

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Posted on 21 Nov 2024, this text provides information on General Knowledge related to General Awareness in General Knowledge. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.

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