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Physics

Mechanics

Easy

Question

$A space p a r t i c l e space o f space m a s s space 500 space g space i s space p r o j e c t e d space a l o n g space x minus a x i s space w i t h space a space v e l o c i t y space 6 space m divided by s. space I t space i s space a c t e d space u p o n space b y space a space v a r i a b l e space f o r c e space a c t i n g space a l o n g space y minus a x i s space a s space s h o w n space i n space f i g u r e. space W h a t space i s space t h e space v e l o c i t y space o f space t h e space p a r t i c l e space a t space 8 space s ?$

${\vec{V}}_{f_{\ln}} = 9 \hat{i} + 6 \hat{j}$
${\vec{V}}_{f_{\ln}} = 3 \hat{i} + 3 \hat{j}$
${\vec{V}}_{f_{\ln}} = 7 \hat{i} + 8 \hat{j}$
${\vec{V}}_{f_{\ln}} = 6 \hat{i} + 8 \hat{j}$

The correct answer is: $space of 1em V with not stretchy rightwards arrow on top subscript f subscript ln end subscript equals 6 i with not stretchy hat on top plus 8 j with not stretchy hat on top$

$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em rowspacing 3 pt end attributes row cell text Change in momentum end text end cell row cell equals straight capital delta P with not stretchy rightwards arrow on top equals P with not stretchy rightwards arrow on top subscript f minus P with not stretchy rightwards arrow on top subscript i end cell row cell P with not stretchy rightwards arrow on top subscript f equals P with not stretchy rightwards arrow on top subscript i plus straight capital delta P with not stretchy rightwards arrow on top comma space of 1em m V with not stretchy rightwards arrow on top subscript f equals open parentheses m v subscript 0 close parentheses i with not stretchy hat on top plus open square brackets integral subscript 0 superscript 8 F d t close square brackets j with not stretchy hat on top end cell row cell V with not stretchy rightwards arrow on top subscript f equals 6 i with not stretchy hat on top plus fraction numerator 2 over denominator 0.5 end fraction open square brackets 1 half cross times 1 cross times 4 close square brackets j with not stretchy hat on top comma space of 1em V with not stretchy rightwards arrow on top subscript f subscript ln end subscript equals 6 i with not stretchy hat on top plus 8 j with not stretchy hat on top end cell end table$

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