A body of mass m accelerates uniformly from rest to a speed v in time t , if the body is performing one-D motion then the work done on the body till any time T between 0 and t is:
Kale abhay , 7 Years ago
Grade 12
1 Answers
Vikas TU
Last Activity: 7 Years ago
Dear Student,
From the equation of motion, v=u+at (u=0,v=v,a=acceleration,t=t) =>v=at =>a=v/t Force=ma =mv/t Distance travelled in time T = S = ut+at2/2 (from the equations of motion) =>S=vT2/2t (since t=T, u=0, a=v/t) Work done=ForcexDistance travelled in that time T =mv/t x vT2/2t =mv2T2/2t2.
Cheers!!
Regards,
Vikas (B. Tech. 4th year Thapar University)
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