4-1.Newton's Laws of Motion
easy

$m$ द्रव्यमान के किसी कण पर आरोपित बल $F$ को बल समय ग्राफ द्वारा दर्शाया गया है। समय $t =0$ से $t =8$ सेकण्ड तक के अन्तराल में कण के संवेग में परिवर्तन.........$N/s$ होगा

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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