Solve problem. Be sure to show your work and give a final answer with units rounded to the correct number of significant figures.

1) A wagon with a weight of 136 N is moved 19 m from its original location. How much work was done?
2) A simple machine requires 8.3 N of force to obtain an output force of 32 N. What is the mechanical advantage of the machine?
3) If an electrical appliance has 150.0 V applied causing a current of 2.34 amps, what is the resistance of the appliance?
4) What is the electrical power generated from a voltage of 12.3 V if the current is 9.42 amps?

In an old-fashioned amusement park ride, passengers stand inside a 3.0-m-tall, 5.0-m-diameter hollow steel cylinder with their backs against the wall. the cylinder begins to rotate about a vertical axis. then the floor on which the passengers are standing suddenly drops away! if all goes well, the passengers will “stick” to the wall and not slide. clothing has a static coefficient of friction against steel in the range 0.60 to 1.0 and a kinetic coefficient in the range 0.40 to 0.70. part a what is the minimum rotational frequency, in rpm, for which the ride is safe? express your answer using two significant figures. f f = rpm

An ideal otto cycle has a compression ratio of 8. at the beginning of the compression process, air is at 95 kpa and 27°c, and 750 kj/kg of heat is transferred to air during the constant-volume heat-addition process. assuming constant specific heats at room temperature, determine (a) the pressure and temperature at the end of the heat-addition process, (b) the net work output, (c) the thermal efficiency, and (d) the mean effective pressure for the cycle. (4390 kpa, 1730 k; 423 kj/kg; 56.4%; 534 kpa)

The three classes of rocks are sedimentary, metamorphic, and igneous. how are rocks classified into one of these three groups?