A time dependent force f=10t is applied on 10kg block.Find out the work done in 2 sec
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F= ma = 10 * dv/dt.....
.t= dv/dt ( mass is 10kg..both get cancelled)...
. Integration( t dt) = integration( dv)....... t^2/2 = v...... v= 4/2 ( t=2s).....v= 2m/s.....v= u + at..... a = 2/2....a= 1m/s^2...... S = ut + 1/2 at^2........ S= 1/2 * 1 * 4 ( u=0m/s)..... S = 2m.........WORK = F * S...... WORK = 10 * 2.....Therefore work = 20J.
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