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A car of mass 1000kg is moving with a certain speed when a constant breaking force of 1000 N acts on it for 5 seconds and the speed of car reduces to half its original speed. Find the further time required to stop the car if the same constant force acts.

Asked by mkp400 17th December 2017, 12:26 PM
Answered by Expert
Answer:
Retardation = Force/mass = 1000 N/ 1000 kg = 1 m/s2
 
in 5 seconds initial speed v0 reduces to (v0/2). then begin mathsize 12px style v subscript 0 over 2 equals v subscript 0 cross times 5 space minus space 1 half cross times 1 cross times 25 comma space t h i s space g i v e s space v subscript 0 equals space 25 over 11 end style
now the speed is (25/22) m/s. Required time to stop the car completely is given by
begin mathsize 12px style 0 space equals space 25 over 22 t space minus space 1 half cross times 1 cross times t squared space comma space t h i s space g i v e s space t space equals space 2 3 over 11 space s end style
Answered by Expert 17th December 2017, 1:32 PM
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