SATHEE: Centre of Mass 2 Question 2

Centre of Mass 2 Question 2

3. A ball is thrown vertically up (taken as $+ Z$ -axis) from the ground. The correct momentum-height $(p - h)$ diagram is

(2019 Main, 9 April I) (a)

(c)

(b)

(d)

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Answer:

Correct Answer: 3. (d)

Solution:

When a ball is thrown vertically upward, then the acceleration of the ball,

$a$ =acceleration due to gravity ( $g$ ) (acting in the downward direction).

Now, using the equation of motion,

$\begin{aligned} v^{2} & = u^{2} - 2 g h \\ or h & = \frac{- v^{2} + u^{2}}{2 g} \end{aligned}$

As we know, momentum, $p = m v$ or $v = p / m$

So, substituting the value of $v$ in Eq. (i), we get

$h = \frac{u^{2} - (p / m)^{2}}{2 g}$

As we know that, at the maximum height, velocity of the ball thrown would be zero.

So, for the flight when the ball is thrown till is reaches the maximum height $(h)$ .

$v \to$ changes from $u$ to 0

$\Rightarrow p \to$ changes from $m u$ to 0

Similarly, when it reacher it’s initial point, then

$h \to$ changes from $h_{max}$ to 0

Also, $p \to$ changes from 0 to some values.

Thus, these conditions are only satisfied in the plot given in option (d).

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Centre of Mass 2 Question 2

3. A ball is thrown vertically up (taken as $+ Z$ -axis) from the ground. The correct momentum-height $(p - h)$ diagram 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 2 Question 2

3. A ball is thrown vertically up (taken as +Z-axis) from the ground. The correct momentum-height (p−h) diagram 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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3. A ball is thrown vertically up (taken as $+ Z$ -axis) from the ground. The correct momentum-height $(p - h)$ diagram is