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An explosion breaks a rock into three parts in a horizontal plane. Two of them go off at right angles to each other. The first part of mass 1 kg moves with a speed of 12 ms^(-1) and the second part of mass 2 kg moves with 8 ms^(-1) speed. If the third part flies off with 4 ms^(-1) speed, then its mass is

Answer» <html><body><p>7kg<br/>17kg <br/><a href="https://interviewquestions.tuteehub.com/tag/3-301577" style="font-weight:bold;" target="_blank" title="Click to know more about 3">3</a> <a href="https://interviewquestions.tuteehub.com/tag/kg-1063886" style="font-weight:bold;" target="_blank" title="Click to know more about KG">KG</a> <br/><a href="https://interviewquestions.tuteehub.com/tag/5kg-326499" style="font-weight:bold;" target="_blank" title="Click to know more about 5KG">5KG</a></p>Solution :Thesituationis asshownin thefigureaccordingto lawofconservationoflinearmomemtum<br/> ` vecp_1 + vecp_2 + vecP_3=0 thereforevecP_3 =-vecP_1 + vecP_(2)` <br/>here` vecv_1= ( 1 kg) ( 12 ms^(-1)) <a href="https://interviewquestions.tuteehub.com/tag/hati-2693493" style="font-weight:bold;" target="_blank" title="Click to know more about HATI">HATI</a>= 12 hati kgms^(-)`<br/>` thereforevecP_3 = - (12hati+ 16hatj ) kg ms^(-1) ` <br/> Themagnitudeof `P_3` is<br/> ` P_3 = sqrt((12)^2 + (<a href="https://interviewquestions.tuteehub.com/tag/16-276476" style="font-weight:bold;" target="_blank" title="Click to know more about 16">16</a>)^2) = 20kg ms^(-1)` <br/> ` thereforem_3 = (p_3)/(v_3) =( 20 kg ms^(-1))/(4 ms^(-1)) =5kg `<br/> <img src="https://doubtnut-static.s.llnwi.net/static/physics_images/MTG_NEET_GID_PHY_XI_C03_E03_009_S01.png" width="80%"/></body></html>


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