1. The problem statement, all variables and given/known data A 1.18 kg block slides across a horizontal surface directly toward a massless spring with spring constant 5,803 N/m. The surface is frictionless except for a rough patch of length 0.42 m that has coefficient of kinetic friction 0.367. The initial velocity of the block is 2.49 m/s directed straight toward the spring. What is the maximum compression of the spring? What i obtained form the question: v0 = 2.49 friction coefficient 0.367 m=1.18 d=0.42 Spring constant = 5803 2. Relevant equations W=Fd W=Δk k=1/2mv^2 3. The attempt at a solution What I first did was find the knetic energy before the object hit the spring so i got kf = .5(1.18)(vf) ki = .5(1.18)(2.49) i replaced vf with the equation to obtain equation is vf^2 = vi^2 + 2ax kf = .5*(1.18)(2.49^2+2a(0.42)) Now i have W=Fd which i made W=(1.18)(a)(.42) then i set the equations equal to each other .5(1.18)(2.49^2+2a(.42))-.5(1.18)(2.49)=(1.18)(a)(.42) solved for a = -1.029188469 used this a to find vf = 2.309887808 now i have the velocity it hits the spring with I then again brought back the work equation to find W = kf-ki since final knetific force is 0 i have W = -.5(1.18)vf^2 = Fd = ((-5803x)x) then i solved for x as 0.0232911326 as demanded I entered 2.33 cm. But i was marked wrong. Can anyone help? That'll be greatly appreciated.