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Question Number 139599 by I want to learn more last updated on 29/Apr/21

Answered by mr W last updated on 29/Apr/21

Commented by mr W last updated on 29/Apr/21

“all forces” means including weight  of block: F_4 =mg=10 N.  x component of all forces:  F_x =20×(4/5)+10×(3/5)+10×(4/5)+10×0=30N (→)  y component of all forces:  F_y =20×(3/5)+10×(4/5)−10×(3/5)−10×1=4N(↑)  F=(√(30^2 +4^2 ))=2(√(229)) N  ma=F  a=(F/m)  s=(1/2)at^2 =((Ft^2 )/(2m))  work done by all forces on the block:  W=Fs=((F^2 t^2 )/(2m))=((4×229×1^2 )/(2×1))=458 J  or  W=E=(1/2)mv^2 =(1/2)m(at)^2 =((F^2 t^2 )/(2m))

allforcesmeansincludingweightofblock:F4=mg=10N.xcomponentofallforces:Fx=20×45+10×35+10×45+10×0=30N()ycomponentofallforces:Fy=20×35+10×4510×3510×1=4N()F=302+42=2229Nma=Fa=Fms=12at2=Ft22mworkdonebyallforcesontheblock:W=Fs=F2t22m=4×229×122×1=458JorW=E=12mv2=12m(at)2=F2t22m

Commented by I want to learn more last updated on 29/Apr/21

Thanks sir. I really appreciate. God bless you sir.

Thankssir.Ireallyappreciate.Godblessyousir.

Commented by Dwaipayan Shikari last updated on 29/Apr/21

ΣF_x =30N  ΣF_y =14N  S_x =(1/2).((ΣF_x )/m)(1)^2 =15m      S_y =(1/2).((ΣF_y −mg)/m)(1)^2 =2m  Work done=S_x ΣF_x +S_y ΣF_y =450+14×2J=478J  Sorry sir. I deleted my post due to errors . But that also deleted  your post

ΣFx=30NΣFy=14NSx=12.ΣFxm(1)2=15mSy=12.ΣFymgm(1)2=2mWorkdone=SxΣFx+SyΣFy=450+14×2J=478JSorrysir.Ideletedmypostduetoerrors.Butthatalsodeletedyourpost

Commented by I want to learn more last updated on 29/Apr/21

Thanks sir. God bless you. I really appreciate.

Thankssir.Godblessyou.Ireallyappreciate.

Commented by mr W last updated on 29/Apr/21

you are right sir. just one thing:  the question says work done by all  forces acting on the block.  it should  also include the gravity force, which  did a work in y direction: −10×2=−20 J.

youarerightsir.justonething:thequestionsaysworkdonebyallforcesactingontheblock.itshouldalsoincludethegravityforce,whichdidaworkinydirection:10×2=20J.

Commented by Tawa11 last updated on 14/Sep/21

nice

nice

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