SATHEE: Work Energy And Power Question 310

Work Energy And Power Question 310

Question: Body of mass m moving with a velocity $v$ in the $+ v e$ X direction collides with a body of mass M moving with a velocity V in the $+ v e$ Y direction. The collision is perfectly inelastic. Mark out the correct statement(s) w.r.t. this situation.

Options:

A) The magnitude of momentum of the composite body is $\sqrt{{(m v)}^{2} + {(M V)}^{2}}$

B) The composite body moves in a direction making an angle $θ = \tan^{- 1} (\frac{M V}{m v})$ with $+ v e$ X-axis.

C) The loss of kinetic energy due to collision

D) All of the above

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Answer:

Correct Answer: D

Solution:

[d] As no external force is acting momentum of the system remains conserved, i.e., ${\vec{P}}_{f} = m v \hat{i} + m V \hat{j}$

$| {\vec{P}}_{f} | = \sqrt{{(m v)}^{2} + {(M V)}^{2}}$

$\Rightarrow$ $\tan θ = \frac{M V}{m v}$ Loss in $K E == Δ K$

$= \frac{m v^{2}}{2} + \frac{M V^{2}}{2} - \frac{1}{2} [\frac{{(m v)}^{2} + {(M V)}^{2}}{M + m}]$

$= \frac{M m}{2 (M + m)} \times (V^{2} + v^{2})$

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Work Energy And Power Question 310

Question: Body of mass m moving with a velocity $v$ in the $+ v e$ X direction collides with a body of mass M moving with a velocity V in the $+ v e$ Y direction. The collision is perfectly inelastic. Mark out the correct statement(s) w.r.t. this situation.

Options:

Answer:

Solution:

इंजीनियरिंग की तैयारी

चिकित्सा तैयारी

एनसीईआरटी पुस्तकें और समाधान

महत्वपूर्ण संसाधन

अन्य संसाधन

पाठ्यक्रम

परीक्षा मंच

नमूना मॉक टेस्ट

सदस्यता

एनसीईआरटी व्यायाम वीडियो समाधान

Work Energy And Power Question 310

Question: Body of mass m moving with a velocity v in the +ve X direction collides with a body of mass M moving with a velocity V in the +ve Y direction. The collision is perfectly inelastic. Mark out the correct statement(s) w.r.t. this situation.

Options:

Answer:

Solution:

इंजीनियरिंग की तैयारी

चिकित्सा तैयारी

एनसीईआरटी पुस्तकें और समाधान

महत्वपूर्ण संसाधन

अन्य संसाधन

पाठ्यक्रम

परीक्षा मंच

नमूना मॉक टेस्ट

सदस्यता

एनसीईआरटी व्यायाम वीडियो समाधान

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Question: Body of mass m moving with a velocity $v$ in the $+ v e$ X direction collides with a body of mass M moving with a velocity V in the $+ v e$ Y direction. The collision is perfectly inelastic. Mark out the correct statement(s) w.r.t. this situation.