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    A space b a l l space o f space m a s s space m space i s space a t t a c h e d space t o space a n space i n e x t e n s i b l e space l i g h t space s t r i n g. space N o w space t h e space b a l l space i s space r e l e a s e d space f r o m space t h e space p o s i t i o n space i n space t h e space s e c o n d space f i g u r e. space S u b s e q u e n t l y space w h i l e space f a l l i n g comma space s t r i n g space b e c o m e s space t a u t. A t space t h a t space m o m e n t space i m p u l s e space i m p a r t e d space b y space t h e space s t r i n g space t o space t h e space b a l l space w o u l d space b e

    1. 2 m square root of g y end root
    2. m square root of g L end root
    3. m square root of g y end root
    4. 2 m square root of g L end root

    The correct answer is: 2 m square root of g y end root

      W h e n space s t r i n g space b e c o m e s space s t i f f comma space b a l l space w i l l space f a l l space t h r o u g h space a space d i s tan c e space 2 y space a n d space a c q u i r e s space a space v e l o c i t y square root of 4 g y end root. space I f space T space i s space t e n s i o n space i n space t h e space s t r i n g space t h e n comma integral T d t equals m left parenthesis square root of 4 g y end root right parenthesis minus m left parenthesis 0 right parenthesis equals 2 m square root of g y end root

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      text  Three particles of masses  end text 20 straight g comma 30 straight g text  and  end text 40 straight g text  are initially moving along the positive direction of the  end text text  three coordinate axes respectively with the same velocity of  end text 20 cm divided by straight s text  . When due to their mutual  end text text  interaction, the first particle comes to rest, the second acquires a velocity  end text left parenthesis 10 straight i with not stretchy hat on top plus 20 bold k with not stretchy hat on top right parenthesis cm divided by straight s text  . What is  end text text  then the velocity of the third particle?  end text

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