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 is spinning about the axle at a rate of 120 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?

A group of local 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?

As you have read so far, eukaryotic cells are much more complex and include many more internal structures than prokaryotic cells. Please list and describe the functions of at least 5 internal structures found in a eukaryotic cell.

Consider an ADC system that represents voltages from -9 V to 7 V with signed 6-bit results. Assume that the graph of the ideal transfer function for the ADC passes through the point , not

An anion is formed when

The 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 12 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?

Deadeye Martin fires a 18-g arrow at a speed of 40 m/s at a 150-g apple tossed straight 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?

In the figure, a cylindrical L-shaped pipe is connected to a cylindrical tank. The absolute pressure at point B is 150 kPa, and the density of the oil is 900 kg/m3. What is the mass of the piston? (The figure shows the system which is filled with oil and consists of a hollow closed vertical cylinder and an L-shaped pipe connected to the middle of its lateral surface. The cylinder has a height of 60 centimeters and a base diameter of 20 centimeters. The top base of the cylinder is marked A. The bottom base of the cylinder is marked B. The pipe has a width of 4.0 centimeters. The vertical part of the pipe has the oil column of 100 centimeters with a piston on it.)

Hecelina drives her horse to pull her wagon up a long, shallow hill. The horse and wagon together have a mass of 1800 kg, and the horse provides a constant force of 1000 N directing the wagon up the hill. The hill rises a vertical distance of 8.0 m, and the hill is 85 m long along the slope. With what starting speed must Hecelina drive her horses so that they barely make it to the top of the hill before stopping? Neglect any drag forces.

In the figure, a cylindrical L-shaped pipe is connected to a cylindrical tank. The absolute pressure at point B is 180 kPa, and the density of the oil is 900 kg/m3. What is the mass of the floating piston? (The figure shows the system which is filled with oil and consists of a hollow closed vertical cylinder and an L-shaped pipe connected to the middle of its lateral surface. The cylinder has a height of 60 centimeters and a base diameter of 20 centimeters. The top base of the cylinder is marked A. The bottom base of the cylinder is marked B. The pipe has a width of 4.0 centimeters. The vertical part of the pipe has the oil column of 100 centimeters with a piston on it.)