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For a boat to float in a tidal bay, the water must be at least 2.5 meters deep. The depth of water around the boat, d(t), in meters, where t is measured in hours since midnight, is
(a) What is the period of the tides in hours?
(b) If the boat leaves the bay at midday, what is the latest time it can return before the water becomes too shallow?
The wave function of a standing wave is y(x, t) = 4.44 mm sin [(32.5 rad/m) x] sin [(754rad/s) t]. For the two traveling waves that make up this standing wave
A constant force, F = (4.51, ?3.79, 2.30) N, acts on an object of mass 18.2 kg, What is the total work done by this force
while driving at a constant speed of 75 kmh you are passed by a car traveling at 121 kmh. if the frequency of light
A hydrogen atom is in its second excited state (n = 3). Using the Bohr theory of the atom, compute the following. The total energy, The potential energy, The kinetic energy, The radius of the orbit
A helium weather balloon is used to lift a meteorological sensor package high up into the atmosphere. Calculate the number of moles of helium in the balloon
initially unpolarized light is sent into a system of three polarizing sheets whose polarizing directions make angles of ?1 = ?2 = ?3 = 51° with the direction of the y axis, What percentage of the initial intensity is transmitted by the system
Steam enters a compressor at p1= 6 bar, T1= 300 oC and exits at p2= 10 bar. The work on the system is measured as 200 kJ per kg of water vapor flowing. Determine the isentropic turbine efficiency.
The Earth is about to be swallowed by a black hole with the mass equal to ten Solar masses. At what distance from the black hole will the Earth be pulled apart by tidal forces - i.e. find the Roche limit for this system.
A floating ice block is pushed through a displacement vector d= (15 m)i - (12 m)j along a straight embankment by rushing water, How much work does the force do on the block during the displacement
Determine the average rate of change from 2005 to 2009, and interpret the results. To receive full credit, describe how you determined the rate of change, and make sure you use complete sentences for your interpretation of the slope.
A uranium nucleus (mass 238 u, charge 92e) decays, emitting an alpha particle (mass 4 u, charge 2e) and leaving a thorium nucleus (mass 234 u, charge 90e). At the instant the alpha particle leaves the nucleus, the centers of the two are 5.0fm apart a..
If the company is presently selling 45,000 units, but plans to spend an additional $108,000 on an advertising program, explain how many additional units must the company sell to earn the same net income it is now making?
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