Unfortunately for Johanna, her musket violently backfires wh…

Unfortunately for Johanna, her musket violently backfires while practicing her aim, though luckily she remains unhurt. Her musket, however, breaks into three large pieces. The stock, with a mass of 4 kg, launches behind her at a speed of 3 m/s. The firing mechcanisms, with a mass of 2 kg are launched directly to her right with a speed of 6 m/s. What is the speed of the third piece, the 3-kg barrel, immediately after the explosion?

A water pump sitting on the top of a hill pumps water up fro…

A water pump sitting on the top of a hill pumps water up from a nearby lake through a hose, which hangs down into the water. At the water pump, the absolute pressure of the water is equal to 35 kPa, the flow rate is 0.005 m3/s, and the diameter of the hose is 3 cm. At the lake, a vertical distance of 3 m downwards, the hose widens to a diameter of 5 cm. What is the absolute pressure of the water in the hose at this location in the lake?

In a daring stunt, Giles, with a mass of 75 kg jumps from a…

In a daring stunt, Giles, with a mass of 75 kg jumps from a stationary position onto Eremon’s unicycle as he passes at a starting speed of 10 m/s. If Eremon and his unicycle have a combined mass of 90 kg, what is the the speed of Giles, Eremon, and the unicycle immediately after Giles hops on?