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1. During an all-night cram session, a student heats up a one-half liter (0.50E-3 m^3) glass (Pyrex) beaker of cold coffee. Initially, the temperature is 15° C, and the beaker is filled to the brim. A short time later when the student returns, the temperature has risen to 91° C. The coefficient of volume expansion of coffee is the same as that of water. How much coffee (in cubic meters) has spilled out of the beaker?
2. A 0.20-kg coffee mug is made from a material that has a specific heat capacity of 990 J/(kg · C°) and contains 0.39 kg of water. The cup and water are at 25° C. To make a cup of coffee, a small electric heater is immersed in the water and brings it to a boil in two minutes. Assume that the cup and water always have the same temperature and determine the minimum power rating of this heater.
The venturi flowmeter shown in the figure is used to measure the flow rate of water in a solar collector system. The flowmeter is inserted in a pipe with diameter 1.9 {rm cm}; at the venturi of flowmeter the diameter is reduced to 0.64 {rm cm}. Th..
You wish to boil 1.1 kg of water, which has a specific heat capacity of 4186 J/kg-K. The water is initially at room temperature (293 K). Water boils at 373 K. How much energy must be added to the water by heating it in order for it to start boiling
A starship moving toward Earth with a speed of 0.79 c launches a shuttle craft in the forward direction. What is the speed of the shuttle relative to the starship
A particular guitar string is supposed to vibrate at 203 Hz, other than it is measured to actually vibrate at 208 Hz. By what percentage must the tension in the string be changed to get the frequency to the correct value.
A 2 ton automobile moving with a speed of 60 mph collides with a 10 ton truck at an intersection. find the velocity of the two after the collision
What speed must she have at point 3, so that the normal force at the top has the same magnitude as it did at the bottom.
A ladder 6.10 m long leans against the side of a building. If the ladder is inclined at an angle of 76° to the horizontal, what is the horizontal distance from the bottom of ladder to the building.
A 66kg skier starts from rest at the top of a 1200 m long trail which drops a total of 230m from top to bottom. how much energy was dissipated by friction
A spring with spring constant 34N/m is attached to the ceiling, and a 4.6-cm-diameter, 1.4kg metal cylinder is attached to its lower end. what length of the cylinder is submerged
A helicopter is ascending vertically with a speed of 5.02m/s. At a height of 140m above the Earth, a package is dropped from the window. How much time does it take for the package to reach ground.
Draw two diagrams for the situation where a moving train (with initial speed v0) collides elastically with a target train that is not intially moving, Show that the final velocity of each train will be:
The maximum speed of a 3.1kg mass attached to a string is 0.68 m/s and the maximum force exerted on the mass is 11N. What is amplitude of motion for the mass? What is the force constant on the string? What the frequency.
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