(b) Total heat absorption by the gas during the cycle.

 (a) the magnitude of the acceleration of the block ,

(b) the magnitude and the direction of the static friction force acted on the cylinder ,

(c) the total kinetic energy of the cylinder .

(a) The entropy difference between points 2 and 4. 

(c) Total work done by the gas during the cycle.

(d) Efficency of the engine. 

(a) Write an expression for the traveling wave function y(x, t). 

(b) The tension of the string is 36.0 N, what is the average power transferred along the string? 

4. As shown in Figure 3, an infinite nonconducting sheet with a round hole of radius R has a uniform surface charge of density σ. Find the expression of magnitude of the electric field at point P, with a distance z along the central axis of the hole. 

5. As shown in Figure 4, in cross section, a cylindrical capacitor of length L formed by two coaxial cylinders of radii a and b. Assuming L is much greater than b so that we can neglect the fringing of the electric field that occurs at the ends of the cylinders. The capacitor is charged in a circuit, and the electric potential difference between the two cylinders is V. The capacitor is then disconnected from the circuit. A liquid dielectric material of dielectric constant k is injected to the capacitor, and is only half filled. After filling the dielectric material, what is the electric potential difference between the two cylinders?