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Q. A sanding disk with rotational inertia 8.7 x 10-3 kg·m2 is attached to an electric drill whose motor delivers a torque of magnitude 46 N·m about the central axis of the disk. About that axis and with torque applied for 78 ms, what is the magnitude of the (a) angular momentum and (b) angular velocity of the disk?
Q. The resolution of the eye is ultimately limited by the pupil diameter. What is the smallest diameter spot the eye can produce on the retina if the pupil diameter is 3.46 mm? Assume light with a wavelength of = 550 nm. (Note: The distance from the pupil to the retina is 25.4 mm. In addition, the space between the pupil and the retina is filled with a fluid whose index of refraction is n = 1.336.)
2)A thin layer of magnesium fluoride (n = 1.38) is used to coat a flint-glass lens (n = 1.61). What minimum thickness should the magnesium fluoride film have if the reflection of 669 nm light is to be suppressed? Assume that the light is incident at right angles to the film
An aging coyote cannot run fast enough to catch a roadrunner. He purchases on eBay a set of jet-powered roller skates, which provide a constant horizontal acceleration of 15.0 m/s2. The coyote starts at rest 70.0 m from the edge of a cliff at the ins..
Problem on the velocity of boat
Take the gravitational constant to be = 6.67×10^-11 Nm^2/kg, the mass of the earth to be = 5.97×10^24 kg, and the radius of the Earth to be = 6.38×10^6 m.
In addition, the snow exerts a retarding force on the sled that points opposite to direction of motion, and has a magnitude of 57 N. Find out the acceleration of the sled and child.
The diameter of the He atom is approximately 0.10nm. Compute the density of the He atom in (assuming that it is a sphere).
A guitar string is 90cm long and has a mass of 3.6g from the bridge to support post (L) is 60cm and the string is under the tension of 560. What are the frequencies of fundamental and first two overtones.
A surface is infinitesimally close to and surrounds a dipole. The electric flux during the surface must be zero, since the net charge it surrounds is zero. How is it possible for the dipole to have an electric field and be consistent with Gauss' t..
A rifle with the barrel length of 62cm fires a 12g bullet with a horizontal speed of 380m/s. The bullet strikes a block of wood and penetrates to a depth of 14cm. What resistive force (assumed to be constant) does the wood exert on the bullet? How lo..
The loaded cab of an elevator has a mass of 3.7 x 10^3 kg and moves 228 m up the shaft in 21 s at constant speed. At what average rate does the force from the cable do work on the cab.
A Toyota Prius driving north at 61.0 {rm mph} and VW Passat driving south at 41.0 {rm mph} are on the same road heading along each other (but in different lanes). (We take the positive direction to be north.)
An object has a kinetic energy of 313 J and the momentum of magnitude 24.1 kg·m/s. Find out the speed and the mass of the object.
A firefighter at a distance d from a burning building directs a stream of water from a fire hose at angle θi above the horizontal as shown in Figure. If the initial speed of the stream is vi. At what height h does the water strike the building?
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