60.0-kg skier with an initial speed of 12.0 m/s coasts up a 2.50-m-high rise as shown in Figure 7.40. Find her final speed at the top, given that the coefficient of friction between her skis and the snow is 0.0800. (Hint: Find the distance traveled up the incline assuming a straight-line path as shown in the figure.)
Step-by-step solution Step 1 of 3 According to the work energy theorem, Here is the initial kinetic energy of the skier, is the work done by the non-conservative force (friction), is the final kinetic energy of the skier and is the potential energy of the skier at the top of the rise. Step 2 of 3 Use the above equation, Therefore, Here is the frictional force, is the coefficient of friction, is the initial speed of the skier, is the final speed of the skier, is the height raised by the skier and is the angle of inclination.