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A horse pulls a wagon of 5000kg from rest against a constant resistance of 90N.The pull exerted initially is 600N and it decreases uniformly with the distance covered to 400N at adistance of 15m from the start.the velocity of the wagon at this point is -
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3 Answers
11first we shuld note that - 'decreases uniformly with the distance covered'
600 - 0 metre
400 - 15 metre
uniform decrease per metre = 200 / 15 = 40/3
force at a particular distance s is :
(600 - (40/3) * s) - 90 (resistive force) = 5000 * a
(600 - (40/3) * s) - 90 (resistive force) = 5000 * v dv/ds
ab integrate karo .. LHS limits : 0 to 15 and RHS unit 0 to v
u will get
[ 51s - (2/3)s2 ]015 = 250v2 | 0 v
solve ang get v = 1.568.... m/s
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