4-1.Newton's Laws of Motion
easy

$m $ દળવાળા કોઇ કણ પર લગાડેલ બળ નીચે દર્શાવેલ બળ-સમયના આલેખ દ્વારા દર્શાવેલ છે . $0$  $8$ સેકન્ડ સુધીના ગાળામાં કણના વેગમાનમાં થતો ફેરફાર ($N-s$ માં) કેટલો હશે?

A

$24$

B

$20$

C

$12 $

D

$6$

(AIPMT-2014)

Solution

$\begin{array}{l}
Chenge\,in\,momentum\, = Area\,under\,F – graph\\
\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,in\,that\,{\rm{interval}}\\
\,\,\,\,\,\,\, = Area\,of\,\Delta ABC – Area\,of\,{\rm{rectangle}}\,CDEF\\
\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, + Area\,of\,{\rm{rectangle}}\,{\rm{FGHI}}\\
\,\,\,\,\,\,\, = \,\frac{1}{2} \times 2 \times 6 – 3 \times 2 + 4 \times 3 = 12\,N\,s
\end{array}$

Standard 11
Physics

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