In a riveting and infuriating game of croquet, Pierre and Regnault launch their identical croquet balls, which have masses of 0.45 kg each, at each other instead of the wickets. Pierre fires his north at a speed of 5 m/s, and Regnault sends his south at a speed of 6 m/s. The balls collide midair, sending Regnault’s ball directly east at a speed of 4 m/s. In what direction does Pierre’s ball go after the collision?
Read DetailsThe restoring force a bow provides to an arrow as it is pulled back can be modeled as a spring force. The archer Gila “nocks” an 18-g arrow by pulling it back a distance of 45 cm. Gila fires the arrow horizontally from a small cliff with a height of 15 m, and when the arrow reaches the bottom, it has a speed of 63 m/s. What is the effective spring constant of the bow as Gila nocks the arrow?
Read DetailsA cylindrical container with a 40-cm height and a 2.0-cm diameter holds helium gas, which has density 0.1785 kg/m3. A piston on one side of the container moves inwards until the helium’s density is 0.22 kg/m3. What is the new height of the cylinder?
Read DetailsA cylindrical container with a 50-cm height and a 2.0-cm diameter contains helium gas, which has density 0.1785 kg/m3. A piston on one side of the container moves inwards until the helium’s density is 0.22 kg/m3. What is the new height of the cylinder?
Read DetailsFirefighters connect a fire hose to a hydrant and lift the other end of the hose into the air to attack a fire in an upper floor. In the ground just below the hydrant the gauge water pressure is 148 kPa, the pipe has a diameter of 6.0 cm, and the volume flow rate through the pipe is 0.04 m3/s. If the gauge water pressure is zero at the high end of the hose, which has a diameter of 5.0 cm, to what height did the firefighters lift the hose?
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