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Use the Lagrangian approach to find the angular frequency of small oscillations about the top position. Note the moment of inertia of the cube I = 2mb2/3 and for the small angle approximation: sin &
How close to the side walk can the flower pot fall before it is too late for a warning shouted from the balcony to reach the man in time? Assume that the man below requires 0.353 s to respond to the
Disregarding friction, how much faster would the ball travel if the cannon were mounted rigidly and all other parameters remained the same?
A small boat is moving at a velocity of 3.35m/s when it is accelerated by a river current perpendicular to the initial direction of mmotion. If the current acceleration is 0.750m/s^2, what will the
A fan at a rock concert is 30 m from the stage, where the sound intensity level is 110 dB. Her eardrums have a diameter of 8.4 mm. How much energy is transferred to each eardrum in one second?
A child bounces a 45 g superball on the side-walk. The velocity change of the superball is from 23 m/s downward to 14 m/s upward. If the contact time with the sidewalk is 1/800s, what is the magnit
Glass photographic plates were once the standard detector for astronomical imaging. Describe the type of detector that has replaced photographic plates and outline what its advantages are.
The mass of a carbon atom is 2.0x10^-26. What is the kinetic energy of a carbon atom moving with a speed of 500 m/s?
A jetliner, traveling northward, is landing with a speed of 62.0 m/s. Once the jet touches down, it has 656 m of runway in which to reduce its speed to 11.6 m/s. Compute the average acceleration (ma
A long solenoid has 1460 turns in a length of 40.0 cm. What current has to flow through the solenoid in order to generate a magnetic field of 3.45 μT in its interior?
If the electron just misses the upper plate as it emerges from the field, find the speed of the electron as it emerges from the field?
A child sitting 1.10m from the center of a merry-go-round moves with a speed of 1.25m/s. calculate the centripetal acceleration of the child, and the net horizontal force exerted on the chile (mass=
What is the angular acceleration of the merry-go-round?(c) How much work does each child do?(d) What is the kinetic energy of the merry-go-round?
The current is a matter of concern to those who live nearby. (a) What is the strength of the field at ground level below one such wire?
Mars has mass of 6.4 * 10 ^ 26 g and a radius of 3400 km. Phobos has a mass of 1.1 *10 ^19 g and radius of 11 km. Phobos orbits mars with a semimajor axis of 9380 km. What is the mean denisit of Mar
A water-skier is moving at a speed of 14.2 m/s. When she skis in the same direction as a traveling wave, she springs upward every 0.820 s because of the wave crests. When she skis in the direction
A source emits sound uniformly in all directions. A radial line is drawn from this source. On this line, determine the radial positions of two points, 0.782 m apart, such that the intensity level a
The spaceship moves past the Earth with a speed of 0.81c in a direction parallel to the floor of the ship. Find the angle the ladder makes with the floor, as seen by an observer on Earth. in °
A piece of balsa wood with density 0.50g/cm^3 is released under water.What is the initial acceleration?? Repeat for a piece of maple with density 0.750 g/cm^3? Repeat for a ping-pong ball with an a
A parallel-plate capacitor is formed from two 1.0 {rm cm} times 1.0 {rm cm} electrodes spaced 3.0 {rm mm} apart. The electric field strength inside the capacitor is 1.0times10^{6};{rm{N/C}}. What i
61.0-Ω resistor is connected in parallel with a 122.0-Ω resistor. This parallel group is connected in series with a 18.0-Ω resistor. The total combination is connected across a 15
A spaceship and an asteroid are moving in the same direction away from Earth with speeds of 0.83c and 0.39c, respectively. What is the relative speed between the spaceship and the asteroid?
Before throwing a 1.49 kg discus, an ath- lete rotates it along a circular path of radius 1.18 m. The maximum speed of the discuss is 25.2 m/s. Determine the magnitude of its maximum radial accelera
Treating the astronauts as particles, calculate each of the following. The magnitude of the angular momentum of the system?
Optimus Prime is flying straight up at 74 m/s when he accidentally drops his mega-ray blaster and it falls 67 m to the ground below A.) Calculate how LONG it takes for his mega-ray blaster to hit th