Learning Goal: To practice Problem-Solving Strategy 7.3 Conservation of energy with nonconservative forces. While a roofer is working on a roof that...

Learning Goal: To practice Problem-Solving Strategy 7.3 Conservation of energy with nonconservative forces.While a roofer is working on a roof that slants at theta = 36.0 degrees above the horizontal, he accidentally nudges his m = 8.50 kg toolbox, causing it to start sliding downward, starting from rest. A frictional force of magnitude f_k = 22.0 N acts on the toolbox as it slides. If the box starts d = 4.25 m from the lower edge of the roof, how fast v will the toolbox be moving just as it reaches the edge of the roof? Assume that the acceleration due to gravity is g = 9.80 m/s^2.The initial and final states of the toolbox are illustrated in the figure. Identify the initial speed v_i of the toolbox and the vertical distance h through which the toolbox moves.Enter the initial speed and the height symbolically in terms of the variables given in the problem introduction (m, g, theta, f_k, v~and~d), separated by a comma. v_i, h =