Question

4. A test sled has a mass of 400 kg and is acted on by a thrust force of 200,000 N. It also experiences a viscous drag of 1600 V where V is the velocity. Assuming the sled starts from rest, how long before the sled travels 2000m? How fast it is traveling as it passes through this distance? Find the 'terminal velocity' of the sled. How far does it travel before achieving 90% of the terminal velocity? 200,000 N

Answer 1

Givess system is as follows:- 200,000 900,000 w abug Here, 200,000 - forma Here, fo = 1600v angu Thom, 200000 - 1600v - 500-4V=-du - tn 1500-AV) at - 500-4v - et 500 - 500-40-sooet) /v = 125 (1-et) Also, v=dx Then, dx 125(1-et) Max=12562-+)#

=> x = 125 [++ēt It x = 225 [tret ] x = 125 [tret ] let to be the time taken to travel 2000m. Thema - 2000 = 125 [to teto to tetor = 16 tot & to = 17 Hondas b) velocity of the sled at ta lits, t = 125 (1- 7) V ~ 125 m/s c) Froom the equation of motion, we have ar 200000-1600Vma. At terssional relocity, azo. То, Veroninal - 206000 m/s. terminal 125 m/s

d) teronical = 225000/s. go% of terminal relocity, sono = 90 x 225 m/s => Wyk = 22.5m/s. Now, ] goy = 225 [d-étoup] - 12.5 = 225 [2-6 490% o.g=t- & too% =) è tgo% - ood. = -tgo% = ln Cood) =) t 90% = - ls (ool) - it goof = 2.35