The boxes are initially moving, m, going up and m, going down the incline. In order to prevent the boxes from gaining too much speed, you push with a constant force, Fhand on m2, as shown. As m, passes through the equilibrium position of the spring, its speed is v,. From this position, what is the distance, D, that m, rises above the equilibrium position before coming to rest (in terms of the given information)? Just give the equation (or equations) needed to solve for the distance. Do not simplify or isolate for the distance, but make sure it is the only unknown. The pulley is massless. Fhand Given information: • (angle of incline with horizontal) • m, (mass of box 1) • m, (mass of box 2) D (distance m, rises before coming to rest) • 4, (static friction coefficient, incline and box 1) Hi (kinetic friction coefficient, incline and box 1) Fnand (constant force from your hand) k (spring constant) m2

The boxes are initially moving, m, going up and m, going down the incline. In order to prevent the boxes from gaining too much speed, you push with a constant force, Fhand on m2, as shown. As m, passes through the equilibrium position of the spring, its speed is v,. From this position, what is the distance, D, that m, rises above the equilibrium position before coming to rest (in terms of the given information)? Just give the equation (or equations) needed to solve for the distance. Do not simplify or isolate for the distance, but make sure it is the only unknown. The pulley is massless. Fhand Given information: • (angle of incline with horizontal) • m, (mass of box 1) • m, (mass of box 2) D (distance m, rises before coming to rest) • 4, (static friction coefficient, incline and box 1) Hi (kinetic friction coefficient, incline and box 1) Fnand (constant force from your hand) k (spring constant) m2