A body is in motion and it is stopped by applying retarding force. Initial speed magnitude of force applied are as given below Speed Force1) V F2) 2V F/23) V/2 2FIf S1,S2,S3 are the distances travelled before coming to rest, those can be arranged in ascending order as given below

From the question,W=-FRS=KEf-KEi-FRS=-12mu2 ⇒S=12mu2FR=mu2FNow,S1=mV22FS2=4mV2FS3=mV216FThus, S3<S1<S2Hence the correct answer is S3,S1,S2.

A body is in motion and it is stopped by applying retarding force. Initial speed magnitude of force applied are as given below Speed Force1) V F2) 2V F/23) V/2 2FIf S1,S2,S3 are the distances travelled before coming to rest, those can be arranged in ascending order as given below

From the question,W=-FRS=KEf-KEi-FRS=-12mu2 ⇒S=12mu2FR=mu2FNow,S1=mV22FS2=4mV2FS3=mV216FThus, S3<S1<S2Hence the correct answer is S3,S1,S2.

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A body is in motion and it is stopped by applying retarding force. Initial speed magnitude of force applied are as given below
Speed Force
1) V F
2) 2V F/2
3) V/2 2F
If S₁,S₂,S₃ are the distances travelled before coming to rest, those can be arranged in ascending order as given below

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S₂,S₁,S₃

S₁,S₂,S₃

S₃,S₂,S₁

S₃,S₁,S₂

answer is D.

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Detailed Solution

From the question,

$W = - F_{R} S = {KE}_{f} - {KE}_{i}$

$- F_{R} S = - \frac{1}{2} {mu}^{2} \Rightarrow S = \frac{1}{2} m \frac{u^{2}}{F_{R}} = \frac{{mu}^{2}}{F}$

Now,

$S_{1} = \frac{{mV}^{2}}{2 F}$

$S_{2} = \frac{4 {mV}^{2}}{F}$

$S_{3} = \frac{{mV}^{2}}{16 F}$

$Thus, S_{3} < S_{1} < S_{2}$

Hence the correct answer is $S_{3}, S_{1}, S_{2} .$

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A body is in motion and it is stopped by applying retarding force. Initial speed magnitude of force applied are as given below Speed Force1) V F2) 2V F/23) V/2 2FIf S1,S2,S3 are the distances travelled before coming to rest, those can be arranged in ascending order as given below

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A body is in motion and it is stopped by applying retarding force. Initial speed magnitude of force applied are as given below
Speed Force
1) V F
2) 2V F/2
3) V/2 2F
If S₁,S₂,S₃ are the distances travelled before coming to rest, those can be arranged in ascending order as given below