Question

Two blocks, each of mass m = 6.90 kg , are connected by a massless rope and start sliding down a slope of incline θ = 40.0 ∘ at t=0.000 s. The slope's top portion is a rough surface whose coefficient of kinetic friction is μk = 0.350. At a distance d = 2.90 m from block A's initial position the slope becomes frictionless.

What is the velocity of the blocks 4.10 s after the blocks have started moving? Assume that the rope joining the two blocks in long enough so that, at this time, block A is on the frictionless surface while block B is still on the rough surface.

Answer 1

Selvtin Mass t bleck (M)- 6.39 Pach UK 0.35 olt A S0 Velocity &blocks dfer toies (V): First tare block& alt draw FBD A B NA Mgsinke mgesho my Sinyt 1 Tensim in rope a a ccelerat blocks rongh for block A whn boHa are Fg011) NA-M(40 NA SI85 N EFAMA ( ) +mjsinyo T- Nma 43.51-T-1y. IS =63a T+G.9a 30 for block B EFJEO (1) Na FS1.85N N-Mg4400 EF= MA ( Ttmasinuo-xNa ma Tt 3.- 18-15 6.9a G.Sa-TA5.36 a dding 4 a: 13.g9= 50.7e 3-6M2

traveL d:2Jm distance t) to taken Time Uinitial velacity 2X2 3.675 |t- 1.2565 Veloc ity ot blocks atter trave liny dem t2x3.6 7S X Vi4-617 MIS rictian less Surtae AF Now block A i8 be zero will So frictim rce NA-Mg4O NA- SI-85 N M2Sia4o-T6ga 43.81 T+6ga equatin Por block B (en wilL be ame addirs 3 13-8 C-68.8 as S mls We have to find velotity atter 41sec When block A is it's U-initial velocitg = Vd = 4.617 m/s Frictimless sohe tn initial paitm ne w block Accelertim time travelled =5MIS brichonless surhre -1256-2.844 see VaUTat VE 46 175K4Y 18-8 3mls