SATHEE: Centre of Mass 3 Question 23

Centre of Mass 3 Question 23

26. If collision between the block and the incline is completely elastic, then the vertical (upward) component of the velocity of the block at point $B$ , immediately after it strikes the second incline is

(a) $\sqrt{30} m / s$

(b) $\sqrt{15} m / s$

(d) $- \sqrt{15} m / s$

(2008, 4M)

Objective Questions II (One or more correct option)

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Answer:

Correct Answer: 26. (a, c)

Solution:

In elastic collision, compound of $v_{1}$ parallel to $B C$ will remain unchanged, while component perpendicular to $B C$ will remain unchanged in magnitude but its direction will be reversed.

Just before

Just after

$\begin{aligned} v_{11} & = v_{1} \cos 30^{\circ} \\ = (\sqrt{60}) \frac{\sqrt{3}}{2} = \sqrt{45} m s^{- 1} \end{aligned}$

$v_{⊥} = v_{1} \sin 30^{\circ} = (\sqrt{60}) \frac{1}{2} = \sqrt{15} m s^{- 1}$

Now vertical component of velocity of block

$v = v_{⊥} \cos 30^{\circ} - v_{|} \cos 60^{\circ}$

$= (\sqrt{15}) \frac{{\sqrt{3}}_{2}^{2}}{2} - (\sqrt{45}) \frac{1}{2} = 0$

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Centre of Mass 3 Question 23

26. If collision between the block and the incline is completely elastic, then the vertical (upward) component of the velocity of the block at point $B$ , immediately after it strikes the second incline is

Answer:

इंजीनियरिंग की तैयारी

चिकित्सा तैयारी

एनसीईआरटी पुस्तकें और समाधान

महत्वपूर्ण संसाधन

अन्य संसाधन

पाठ्यक्रम

परीक्षा मंच

नमूना मॉक टेस्ट

सदस्यता

एनसीईआरटी व्यायाम वीडियो समाधान

Centre of Mass 3 Question 23

26. If collision between the block and the incline is completely elastic, then the vertical (upward) component of the velocity of the block at point B, immediately after it strikes the second incline is

Answer:

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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26. If collision between the block and the incline is completely elastic, then the vertical (upward) component of the velocity of the block at point $B$ , immediately after it strikes the second incline is