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) $d = l$

Show Answer

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.

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:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

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:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

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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: