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Q1. A vertical container with base area measuring 14 cm by 15 cm is being filled with identical pieces of candy, each with a volume of 50 mm3 and a mass of 0.020 g. Suppose that the volume of empty spaces between candies is negligible. If the height of the candies in the container increases at the rate of 0.29cm/s, at what rate (kilograms per minute) does the mass of the candies in container increase?
Q2. A scuba diver shines the flashlight from beneath the surface of water (n = 1.33) such that the light strikes the water-air boundary with the angle of incidence of 37°. At what angle is the beam refracted?
Assume that light of wavelength 550 nm is being observed. Also suppose that diffraction effects, rather than atmospheric turbulence, limit the resolving power of the telescope. Find the greatest distance that these stars might be from the earth.
The sodium D line is a doublet consisting of two wavelengths, 588.995 and 589.592 nm. Calculate the angular separation between these two lines in the first-order spectrum for a grating with 4000 lines per centimeter. Repeat for the second order.
Bob, of mass m, drops from a tree limb at the same time that Esther, also of mass m, begins her descent down a frictionless slide. If they both start at the same height above the ground, which is true about their kinetic energies as they reach the gr..
A shell, fired from a cannon, has a muzzle speed (the speed as it leaves the barrel) of 800 ft/s. The barrel makes an angle of 45o with the horizontal and, for ease; the barrel opening is assumed to be at ground level.
Coefficient of kinetic friction between tires and road
An elastic cord is 64 cm long when a weight of 56 N hangs from it and is 69 cm long when a weight of 83 N hangs from it. What is the "spring" constant of this elastic cord.
A certain freely falling object requires 1.56 s to travel the last 37.0 m before it hits the ground. From what height above the ground did it fall.
If the light from the spotlight strikes the mirror at an angle to the normal, what angle to the normal would you expect for the reflected rays.
If the contact time with the sidewalk is 1800s, what is the magnitude of an average force exerted on the superball by the sidewalk.
A bus travelling along the straight road at 100km/hr-1 and the bus conductor make at 6kmhr-1 on the floor of the bus in the same direction on the bus. Find the speed of the conductor relative to road and relative to the bus. If the bus conductor now ..
A person holds a ladder horizontally at its center. Treating ladder as a uniform rod of length 3.30 m and mass 7.43 kg, find out the torque the person must exert on the ladder to give it an angular acceleration of 0.405 rad/s2.
A loudspeaker of mass 25 {rm kg} is suspended a distance of h = 1.60 {rm m} below the ceiling by two cables that make equivalent angles with the ceiling. Each cable has a length of l = 3.50 {rm m}.
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