1. The problem statement, all variables and given/known data With how much force do I have to push a 1 kg object so that it goes 200 meters over a surface with a friction coefficient of 0.4? 2. Relevant equations Kinematic Equations 3. The attempt at a solution I listed the variables I knew off the bat mass = 1 kg distance = 200 meters friction coefficient = 0.4 gravity = 9.82 I found a frictional force of 3.928 (therefore a deceleration of 3.928) Using the equation : [tex] V_f ^2 = V_i ^2 + 2ad [/tex] I put in : [tex] 0 = V_i ^2 + 2(-3.928)* 200 [/tex] and by basic algebra: [tex] V_i = 39.638... [/tex] And therefore you would need 39.638 newtons of force to push a 1 kg object 200 meters with a friction coefficient of 0.4 I would like to know if this is correct and if not why am I wrong.