Question
Fri March 27, 2015 By: Sriradha Gupta

The velocity of a car increases from 54km/hr to 72km/hr. If the mass of car is 1500kg find the work done to increse the velocity.

Expert Reply
Faiza Lambe
Fri March 27, 2015
begin mathsize 14px style Given colon Mass comma space straight m equals 1500 space kg Initial space velocity comma space straight u space equals space 54 space km divided by straight h space equals fraction numerator space 54 space cross times space 1000 over denominator 3600 end fraction equals 15 space straight m divided by straight s Final space velocity comma space straight v space equals space 72 space km divided by straight h space equals space fraction numerator 72 space cross times space 1000 over denominator 3600 end fraction equals 20 space straight m divided by straight s Work space done space equals space Change space in space kinetic space energy space space space space space space space space space space space space space space space space space space space equals space 1 half straight m left parenthesis straight v squared minus straight u squared right parenthesis space space space space space space space space space space space space space space space space space space space equals space 1 half space cross times space 1500 space cross times space left square bracket left parenthesis 20 right parenthesis squared space minus space left parenthesis 15 right parenthesis squared right square bracket 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 1 half space cross times space 1500 space cross times space left square bracket 400 space minus space space 225 right square bracket 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 1 half space cross times space 1500 space cross times space 175 space space space space space space space space space space space space space space space space space space space equals space space space 262500 over 2 space equals space 131250 space straight J end style
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