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1) Because earth's rotation is gradually slowing, the length of each day increases: The day at the end of 1.0 century is 1.0 ms longer than the day at the start of the century, In 30 centuries, what is the total of daily increase in time?
2) (a) assuming that water has a density of exactly 1 g/cm3. Find the mass of one cubic meter of water in Kilograms.
(b) suppose that it takes 10.0 hours to drain a container of 5700 m3 of water. What is the "mass flow rate" in Kilograms per second, of water from the container.
3) A vertical container with base area measuring 14.0 cm by 17.0 cm is being filled with identical pieces of candy, each with a volume of 50.0 mm3 and a mass of 0.0200 g. Assume that the volume of the empty spaces between the candies is negligible. If the height of the candies in the container increases at the rate of 0.250 cm/s, at what rate (Kilograms per minute) does the mass of the container in the container increase? Please provide with a step by step solution and with explanations if possible.
A cylindrical tank 3.0m deep is full to the brim with water. Sunlight first hits part of the tank bottom, Find the tank's diameter.
Assume that you need to get a heavy couch into the bed of a pickup truck. You know the bed of the truck is at the height of 1.00 and you require a ramp that makes an angle of 40 with the ground if you are to be able to push the couch.
Suppose a star with radius 8.36 108 m has a peak wavelength of 692 nm in the spectrum of its emitted radiation. What is the surface temperature of the star
write an expression for the induced emf in terms of the magnetic field, the legth of the rod, the maximum velocity of the rod, the displacement of the rod, and the maximum displacement of the rod
The "Giant Swing" at a county fair consists of a vertical central shaft with a number of horizontal arms attached at its upper end, Find the time of one revolution of the swing if the cable supporting a seat makes an angle of 30.0? with the vertical
220 cm3 of hot tea at 89°C are poured into a very thin paper cup with 70 g of crushed ice at 0°C. Calculate the final temperature of the "ice tea"
If electrons are accelerated from rest in an electron gun by sending them through a potential difference of 11.0 kV
Light from a laser beam with a wavelength of 600 nm passes through a narrow single slit and observed on a screen 1.5 m behind the slit. The first minimum of the diffraction pattern is 1.5 cm from the central maximum.
The volume control on a surround-sound amplifier is adjusted so the sound intensity level at the listening position increases from 21 to 59 dB. What is the ratio of the final sound intensity to the original sound intensity?
Suppose you are riding a stationary exercise bicycle, and the electronic meter indicates that the wheel is rotating at 11.7 rad/s. how far would you have gone if the bike could move
When the displacement in SHM is 0.2 the amplitude A, what fraction of the total energy is kinetic energy, What fraction of total energy is potential energy
the right triangle with vertex P at the origin, base b, Determine the potential at the vertex P
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