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Is Matter Around Us Pure

Question
CBSEENSC9005871
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A motorcar of mass 1,200 kg is moving along a straight line with a uniform velocity of 90 km/h. Its velocity is slowed down to 18 km/h in 4 s by an unbalanced external force. Calculate the acceleration and change in momentum. Also calculate the magnitude of force required.

Solution
H e r e comma space M a s s space o f space t h e space m o t o r minus b o a t comma space straight m space equals space 1200 space k g I n i t i a l space v e l o c i t y comma space straight u space equals space 90 space k m divided by straight h space equals space 90 cross times 5 over 18 m s to the power of negative 1 end exponent space equals space 25 space m s to the power of negative 1 end exponent F i n a l space v e l c o i t y comma space straight v space equals space 18 space k m divided by straight h space equals space 18 space cross times 5 over 18 m s to the power of negative 1 end exponent space equals space 5 space m s to the power of negative 1 end exponent space T i m e comma space straight t space equals space 4 straight s T h e r e f o r e comma space A c c e l e r a t i o n comma space space space space straight a space equals space fraction numerator straight v minus straight u over denominator straight t end fraction space equals space fraction numerator 5 minus 25 over denominator 4 end fraction equals negative 5 space m s to the power of negative 2 end exponent
M a g n i t u d e space o f space a c c e l e a r t i o n space equals space 5 space m s to the power of negative 2 end exponent. C h a n g e space space i n space m o m e n t u m space space equals space straight m left parenthesis straight v minus straight u right parenthesis space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space 1200 left parenthesis 5 minus 25 right parenthesis space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space minus 24000 space k g space m s to the power of negative 1 end exponent
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