Aforce of magnitude f1 is applied to pull the block up the incline at constant speed. the coefficient of kinetic friction between the plane and the block is μ.

1. what is the total work wfric done on the block by the force of friction as the block moves a distance l up the incline? express the work done by friction in terms of any or all of the variables μ, m, g, θ, l, and f1.
2. what is the total work wf1 done on the block by the applied force f⃗ 1 as the block moves a distance l up the incline? express your answer in terms of any or all of the variables μ, m, g, θ, l, and f1.

Na food processing facility, a spherical container of inner radius r1 5 40 cm, outer radius r2 5 41 cm, and ther- mal conductivity k 5 1.5 w/m · k is used to store hot water and to keep it at 100°c at all times. to accomplish this, the outer surface of the container is wrapped with a 800-w electric strip heater and then insulated. the temperature of the inner surface of the container is observed to be nearly 120°c at all times. as- suming 10 percent of the heat generated in the heater is lost through the insulation, (a) express the differential equation and the boundary conditions for steady one-dimensional heat conduction through the container, (b) obtain a relation for the variation of temperature in the container material by solving the differential equation, and (c) evaluate the outer surface tempera- ture of the container. also determine how much water at 100°c this tank can supply steadily if the cold water enters at 20°c.

The graph describes the motion of an object. the object moves with from a to b. it from b to c. it moves with from c to d.

Question 1 (5 pts): what is the maximum distance for which you can you resolve the two individual headlights of an on-coming truck as two separate lights rather than one if the headlights are separated by 2.00 m and your eye has a diameter of 1.00 centimeter? assume a wavelength of 500 nm.