A cylindrical container with a 50-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?

Marie and Maria each send a spinning uniform disc towards the center of an axle. Marie’s disk has a mass of 0.5 kg with a radius of 15 cm and spins about the axle at a rate of 100 rpm. Maria’s disk also has a mass of 0.5 kg, but a radius of 20 cm, and it spins in the same direction as Marie’s at a rate of 150 rpm. The two discs then collide and stick together. What is their final rotational speed in rad/s?

Deadeye Martin fires a 18-g arrow at a speed of 51 m/s at a 150-g apple tossed into the air by his friend Jaquette. If the arrow arrow travels straight through the apple at the peak of the apple’s trajectory, and the apple’s speed is 1.8 m/s after the collision, what is the speed of the arrow immediately after hitting the apple?

A cubic wooden block with a side length of 7.0 cm floats in water with 6.0 cm submerged. What is the density of the block?

The hero Oudart claims that he can “punch with the energy of a speeding arrow”. Let us assume his claims are true and he can punch with the same kinetic energy as a 15-g arrow fired at a speed of 65 m/s. Witnesses say that the speed of his arm during a punch is 6.0 m/s. What is the mass of Oudart’s arm?

Where is the transition zone?

A group of troublemakers send a 600 kg cart crashing into an innocent cabbage stand at a speed of 16 m/s. If the average force on the wagon during the collision is 9500 N, how long does it take for the cart to stop?

Rate pressure product is an indirect measure of?

Calculate heart rate. 

Firefighters 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 end of the hose, which has a diameter of 5.0 cm, to what height did the firefighters lift the hose?