A system of mass 10 kg undergoes a process during which there is no work, the elevation decreases by 50 m, and the velocity increases from 15 m/s to 50 m/s. The specific internal energy decreases by 5 kJ/kg and the acceleration of gravity is constant at 9.8 m/s2. Determine the change in kinetic energy, in kJ, and the amount of energy transfer by heat for the process, in kJ.

What is the length x of the side of the triangle below? (hint: use the cosine function)

What kind of simple machine is a catapult?

Consider a production line with five stations. station 1 can produce a unit in 9 minutes. station 2 can produce a unit in 10 minutes. station 3 has two identical machines, each of which can process a unit in 12 minutes (each unit only needs to be processed on one of the two machines. station 4 can produce a unit in 5 minutes. station 5 can produce a unit in 8 minutes. which station is the bottleneck station?