SATHEE: Work Energy And Power Question 149

Work Energy And Power Question 149

Question: The force exerted by a compression device is given by $F (x) = k x (x - l) f o r 0 \leq x \leq l$ , where $l$ is the maximum possible compression, $x$ is the compression and is a constant. The work required to compress the device by a distance $d$ will be maximum when:

Options:

A) $d = \frac{l}{4}$

B) $d = \frac{l}{\sqrt{2}}$

C) $d = \frac{l}{2}$

D) $d = l$

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Answer:

Correct Answer: D

Solution:

[d] For W to be maximum;

$\frac{d W}{d x} = 0$ ; i.e. $F (x) = 0 \Rightarrow x = l, x = 0$

Clearly for $d = l$ , the work done is maximum.

Alternate solution: External force and displacement are in the same direction
$∴$ Work will be positive continuously so it will be maximum when displacement is maximum.

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Work Energy And Power Question 149

Question: The force exerted by a compression device is given by $F (x) = k x (x - l) f o r 0 \leq x \leq l$ , where $l$ is the maximum possible compression, $x$ is the compression and is a constant. The work required to compress the device by a distance $d$ will be maximum when:

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 149

Question: The force exerted by a compression device is given by F(x)=kx(x−l)for0≤x≤l , where l is the maximum possible compression, x is the compression and is a constant. The work required to compress the device by a distance d will be maximum when:

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: The force exerted by a compression device is given by $F (x) = k x (x - l) f o r 0 \leq x \leq l$ , where $l$ is the maximum possible compression, $x$ is the compression and is a constant. The work required to compress the device by a distance $d$ will be maximum when: