An object initially has kinetic energy of 90 joules and potential energy of 30 joules. A force is applied and the final kinetic energy is 75 joules and final potential energy of 50 joules.
Calculate the initial total mechanical energy
Calculate the final total mechanical energy
Determine the amount of work done on the system
Which of the following statements is true
Total Mechanical Energy increased
Total Mechanical Energy decreased
Total Mechanical Energy was conserved.

Which term best describes the phrase “something that happens”?

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 image below shows numerous volcanic mountains in the pacific northwest. what is the most likely cause of the volcanic and earthquake activity in this region?