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Physics

Mechanics

Easy

Question

$A space b o d y space o f space m a s s space 5 space k g space i s space m o v i n g space a l o n g space a space s t r a i g h t space l i n e space w i t h space a space v e l o c i t y space o f space 2 space m s to the power of – 1 end exponent. space A space v a r i a b l e space f o r c e space F space s t a r t e d space a c t i n g space o n space i t space f o r space a space t i m e space p e r i o d space o f space 0.5 s space a s space s h o w n space i n space f o r c e minus t i m e c u r v e. space T h e space f i n a l space v e l o c i t y space o f space t h e space b l o c k space i s$

$2 m s^{- 1}$
$2.2 m s^{- 1}$
$2.5 m s^{- 1}$
$2.7 m s^{- 1}$

The correct answer is: $2.5 m s to the power of negative 1 end exponent$

$text Impulse end text equals text area of end text F minus t text curve end text table attributes columnalign left end attributes row cell equals A subscript 1 minus A subscript 2 end cell row cell 1 half left parenthesis 0.44 plus 0.2 right parenthesis cross times 10 minus 5 cross times 0.1 end cell row cell equals 3 fraction numerator negative 0.5 over denominator m left parenthesis v minus u right parenthesis end fraction equals 2.5 N minus s end cell row cell 5 left parenthesis v minus 2 right parenthesis equals 2.5 comma v equals 2.5 m s to the power of negative 1 end exponent end cell end table$

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