Question

LES AS -110 points SerPSE10 8.3.OP.008. A block of mass m = 2.00 kg is attached to a spring of force constant k = 435 N/m as shown in the figure below. The block is pulled to a position x; = 5.90 cm to the right of equilibrium and released from rest. = 0 *= x; 6 (a) Find the speed the block has as it passes through equilibrium if the horizontal surface is frictionless. m/s (b) Find the speed the block has as it passes through equilibrium (for the first time) if the coefficient of friction between block and surface is uk = 0.350. m/s Need Help? Read It Watch It

Answer 1

k = 435 N/m m = 2 kg num 2 53 - 5.5x15m @ wsing energy conservation spaning potential energy change into kinetic enersy at equilibrium 1kx² = f mu² + 1 m ² 1x435x (5.3 ki?)? = 4 ***v*++*226092 15x9571.95= v2 = 87.01x102 Tu=0.87 mis 0 in this case we cannot use encugy conservation 14fx = UVUM F = kaa ung ma= ka-ung a= ug [ a b ] v dv = 4352-0-35x10 a v det 211:58 -3.5) de az dv x V x dt = v dv] vow = ( 211-5 xota - (s.s dx 2i = 5.9x1M xf=0 Vi = 1 - 21-5[7L -1s[0-5") X = v2 - 103.15 * (- 34.81x16") + 20-65*10** -0.3165 +0.2015 = 0.1720 ) V = 0.344 I v=0.58 Mls