Conservation of Energy # 1) A 25 kg block is at rest at the top of a frictionless hill, 5.0 meters above the ground. When it gets to th ground, which is level, it encounters a rough area 5.0 meters long with a coefficient of friction of 0.35 After it leaves the area with friction, it compresses a spring that has a spring constant of 850 N/m. How O much is the spring compressed before the block comes to a stop? To help you get the answer, complete the following steps a) How fast is the block going when it hits the bottom of the ramp? 2 pts b) How much work is done on the block by the rough surface? 2 pts c) How fast is the block going when it gets past the rough surface? 2 pts d) How much does the block compress the spring before coming to a stop? 4 pts 1) k= Us Work A horse pulls a 25.0 kg cart up a hill that makes a 35" with the horizontal. The horse applies a force of 325 N and pulls the cart 17.5 meters up the hill, with an initial velocity of 2.5 m/s. Treat the cart as an object so that ALL forces are EXTERNAL to the system. The coefficient of friction between the cart and the incline is 0.35 a) Draw a free body diagram for the cart, identifying all forces that act on the cart (1 point) b) Which forces (if any) from part a) do positive work? Which (if any) do negative work? Which (if any) do NO work? (1 point) 2c) Find the amount of work done by each of the above forces (2 points) d) Find the net work done on the cart (1 point) e) Find the energy added or taken from the cart (1 point) !) What is the final speed of the cart? (4 points) 1i48= (25.0 kg/cm 35)= 14.34 N Work Ar