The block of mass m = 2.0kg on a slope at a 30 angle above the horizontal. The block is again pressed against a spring that has been compressed by 2.5m and has a spring constant k = 80N/m. The spring is positioned so that it will slide the block up along the incline when released. We will define our origin to be the position of the block, so that U grav = 0 initially. There is a coefficient of friction _k = 0.20 between the block and the entire surface of the incline.

(a) What is the force of kinetic friction on the block while it is sliding?

(b) Write down an equation relating the initial potential energy of the block on the spring, the work done by friction, and the final gravitational energy of the block at the top of the incline. Fill in as many numbers as you can.

(c) Solve your equation for the distance the box will go up the incline on the surface with friction.

(d) What is the total work done by friction while the block is sliding up the incline?