Answer to Question #3611 in Mechanics | Relativity for Vikash
2011-07-13T08:12:52-04:00
A force is applied on a body ,mass 50 kg, for 8 sec. After that the body cover 80m distance in 5 sec in coming to rest.Find the force applied.
1
2011-07-15T05:01:26-0400
Index “1” means first part of path and index “2” the second part V is the velocity at time 8sec Ff is a friction force F1 = F-Ff = ma1 a1 = (F-Ff )/m V = a1 t2 F2 = Ff = ma2 a2 = F2 /m V = a2 t2 = F2 /m t2 (*) a1 t1 = a2 t2 (F-Ff )/m t1 = Ff /m t2 F = Ff (1+t2 /t1 ) (**) A2 = Ff S2 E1 = (mV2 )/2 A2 = E1 Let put here the V from (*) Ff S2 = m 1/2 Ff 2 /m2 t2 2 so, Ff = (2mS2 )/(t2 2 ) (**): F = (2mS2 )/(t2 2 ) (1+t1 /t2 ) = (2*50*80)/52 (1+8/5) = 832 N
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