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Physics

Mechanics

Easy

Question

$A space b a l l space o f space m a s s space m space i s space m o v i n g space t o w a r d s space a space b a t s m a n space a t space a space s p e e d space v. space T h e space b a t s m a n s t r i k e s space t h e space b a l l space a n d space d e f l e c t s space i t space b y space a n space a n g l e space theta space w i t h o u t space c h a n g i n g space i t s space s p e e d. space T h e i m p u l s e space i m p a r t e d space t o space t h e space b a l l space i s space g i v e n space b y space colon$

$2 m v \cos (\frac{θ}{2})$
$2 m v \sin (\frac{θ}{2})$
$2 m v \cos θ$
$2 m v \sin θ$

The correct answer is: $2 m v cos open parentheses theta over 2 close parentheses$

$capital delta p equals 2 m v cos open parentheses theta over 2 close parentheses$

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PhysicsMechanics

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$A space p r o j e c t i l e space o f space m a s s space m space i s space t h r o w n space w i t h space v e l o c i t y space v space m a k i n g space a n space a n g l e space o f space 30 degree space w i t h space v e r t i c a l. space N e g l e c t i n g space a i r space r e s i s tan c e space t h e space m a g n i t u d e space o f space c h a n g e space i n space m o m e n t u m space b e t w e e n space t h e space s t a r t i n g space p o i n t space a n d space a t space t h e space m a x i m u m space h e i g h t space i s space$

PhysicsMechanics

$1. T w o space b l o c k s space o f space m a s s e s space m subscript 1 space end subscript a n d space m subscript 2 space a r e space space c o n n e c t e d space b y space a space s p r i n g space o f space s p r i n g space c o n s tan t space k. space T h e space b l o c k space o f space m a s s space m subscript 2 space i s space g i v e n space a space s h a r p space i m p u l s e space s o space t h a t space i t space a c q u i r e s space a space v e l o c i t y space v subscript 0 space t o w a r d space r i g h t. space I f space s p r i n g space b r e a k space w h e n space v e l o c i t y space o f space m subscript 2 space i s space fraction numerator 3 v subscript 0 over denominator 4 end fraction space t h e space v e l o c i t y space o f space o t h e r space b l o c k space w i l l space b e space$

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PhysicsMechanics

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$text Two blocks of masses m end text subscript text 1 end text end subscript text and m end text subscript text 2 end text end subscript text are connected by a spring of spring constant k. end text text The block of mass m end text subscript text 2 end text end subscript text is given a sharp impulse so that it acquires a velocity v end text subscript text 0 end text end subscript text toward right end text text Find maximum elongation of spring end text$

$text Two blocks of masses m end text subscript text 1 end text end subscript text and m end text subscript text 2 end text end subscript text are connected by a spring of spring constant k. end text text The block of mass m end text subscript text 2 end text end subscript text is given a sharp impulse so that it acquires a velocity v end text subscript text 0 end text end subscript text toward right end text text Find maximum elongation of spring end text$

PhysicsMechanics

$1. T w o space b l o c k s space o f space m a s s e s space m subscript 1 space a n d space m subscript 2 space a r e space space c o n n e c t e d space b y space a space s p r i n g space o f space s p r i n g space c o n s tan t space k. space T h e space b l o c k space o f space m a s s space m subscript 2 space i s space g i v e n space a space s h a r p space i m p u l s e space s o space t h a t space i t space a c q u i r e s space a space v e l o c i t y space v subscript 0 space t o w a r d space r i g h t. space space space V e l o c i t y space o f space c e n t r e space o f space m a s s space w i l l space b e space space$

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PhysicsMechanics

A projectile is fixed with velocity v₀ = 2m/s at angle 60º with horizontal. At top of its trajectory it explodes into three fragment of equal mass. First fragment retraces the path, second moves vertically upward with speed $fraction numerator 3 straight V subscript 0 over denominator 2 end fraction$ . The speed of third fragment (in m/s) is –

A projectile is fixed with velocity v₀ = 2m/s at angle 60º with horizontal. At top of its trajectory it explodes into three fragment of equal mass. First fragment retraces the path, second moves vertically upward with speed $fraction numerator 3 straight V subscript 0 over denominator 2 end fraction$ . The speed of third fragment (in m/s) is –

PhysicsMechanics

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