A motorcyclist along with machine weighs 180 kg.While riving at 90 km/hr, he stops his machine over a distance of 10 m.Calculate the retarding force of the brakes ?

Asked by Vikas | 10th Jul, 2017, 12:21: AM

Expert Answer:

begin mathsize 12px style Given space that colon
straight m space equals space 180 space kg
straight u space equals space 90 space km divided by hr space equals space 25 space straight m divided by straight s
straight s space equals space 10 space straight m
We space first space calculate space the space acceleration space using space the space formula
straight v squared space minus space straight u squared space equals space 2 as
0 space minus space left parenthesis 25 right parenthesis squared space equals space 2 space cross times space straight a space cross times space 10
rightwards arrow negative 625 space equals space 20 space straight a
therefore space straight a space equals space minus space 31.25
Retarding space force space is space given space as
straight F space equals space ma
rightwards arrow space straight F space equals space 180 space cross times space open parentheses negative space 31.25 close parentheses space
rightwards arrow space straight F space equals space minus space 5625 space straight N end style

Answered by Yashvanti Jain | 10th Jul, 2017, 11:10: AM

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