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Question
A cockroach of mass m lies on the rim of a uniform disk of mass 5 m that can rotate freely about its center like a merry-go-round. Firstly the cockroach and disk rotate together with an angular velocity of 0.285 rad/s. Then the cockroach walks halfway to the center of the disk.
(a) What after that is angular velocity of the cockroach-disk system?
(b) What is ratio K/K0 of the new kinetic energy of the system to its initial kinetic energy?
A man enters a tall tower, needing to know its height. He notes that a long pendulum extends from the ceiling almost to the floor, How tall is the tower
Four equal charges of +4.9×10-6 C are placed on the corners of one face of a cube of edge length 7.0 cm. calculate the magnitude of the force on the charge
A research submarine has a 10-cm-diameter window that is 8.5cm thick. What is the submarine's maximum safe depth in salt water
A flat coil enclosing an area of 0.11 m2 is rotating at 58 rev/s, with its axis of rotation perpendicular to a 0.20 T magnetic field. what is the maximum voltage induced in the coil
A fluid with viscosity ? flows through a tube of radius R and length L. What must be the radius of the second tube
A fan blade, initially at rest, rotates with a constant acceleration of 0.025 rad/s2. What is its angular speed at the instant it goes through an angular displacement of 4.2 rad.
A ball of mass 0.1 kg is suspended vertically from the ceiling with a "massless" string and brought to rest. what will be the magnitude of the resulting angular acceleration
A wheel with rotational inertia .146 kg-m2 turns through 40 rev as it slows down from an angular speed of 1.5 rad/s to a stop, what is the angular deceleration
A uniform disk of radius 0.471 m and unknown mass is constrained to rotate about a perpendicular axis through its center. Find the mass of the disk
Smaller mammals use proportionately more energy than larger mammals; that is, it takes more energy per gram to power a mouse than a human. A typical mouse has a mass of 20 g and, at rest, needs to consume 3.0 Cal each day for basic body processes.
A golf ball strikes a hard, smooth floor at an angle of 22.1 ° and, as the drawing shows, rebounds at the same angle. The mass of the ball is 0.0342 kg, and its speed is 47.5 m/s just before and after striking the floor
One cubic meter of water (see Table 4.4 for the mass density of water) flowing over the Osprey Falls in Yellowstone National Park drops 46 m, what is the temperature increase of the water
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