5.Work, Energy, Power and Collision
medium

સ્થિર રહેલો $12kg $ દળનો બોમ્બ ફૂટતાં $4kg$ અને $8kg$ ના ટુકડા થાય છે.$8kg$ ના ટુકડાનો વેગ $6m/s$ હોય,તો બીજા ટુકડાની ગતિઊર્જા કેટલા ............ $\mathrm{J}$ થશે?

A

$48$

B

$32 $

C

$24 $

D

$288$

Solution

(d)As the initial momentum of bomb was zero, therefore after explosion two parts should possess numerically equal momentum

i.e. ${m_A}{v_A} = {m_B}{v_B}$

==> $4 \times {v_A} = 8 \times 6$

==> ${v_A} = 12\;m/s$

Kinetic energy of other mass $ A$, = $\frac{1}{2}{m_A}v_A^2$ = $\frac{1}{2} \times 4 \times {(12)^2}= 288 J.$

Standard 11
Physics

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