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Q. A styrofoam cooler (k = 0.030 W/(m·K)) has outside dimensions of 0.270 m by 0.230 m by 0.280 m, and an average thickness of 2.6 cm. About how long will it take for 1.60 kg of ice at 0 °C to melt in the cooler if the outside temperature is 30.0 °C?
Q. A 2.50 kg grinding wheel is in the form of a solid cylinder of radius 0.200 m. What constant torque will bring it from rest to an angular speed of 1400 rev/min in 2.60 s?
Compute Earth's gravitational force on the Shuttle astronauts while orbiting at an altitude of 220 miles (or 354 km) above Earth's surface.
Intuitively, the man will not catch the bus unless he is running fast enough. In mathematical terms, there is a constraint on the man's speed so that the equation above gives a solution for that is a real positive number.
A capacitor C stores charge Q when there is a potential difference V. When a potential difference of V + 12.5Volts is used, an extra 45.50 microC of charge is stored. What is the capacitance C.
A monochromatic beam of light is absorbed by a collection of ground-state hydrogen atoms in such a way that three different wave-lengths are observed while the hydrogen relaxes back to the ground state. What is the wavelength of the incident beam.
A current of 2.5 a runs through 20 circular wire loops of diameter 10 cm. What is the magnetic field magnitude and direction at the center of the loops? (Show the derivation of any formula that you use.)
Two horizontal forces, 218 N and 157 N, are exerted in opposite directions on a crate. What is the net horizontal force on the create? Be sure to indicate the direction of the net force. (Assume that the 218 N forces are in the positive direction.)
An electron starts from rest 5.00 cm from the center of a uniformly charged sphere of radius 4.00 cm. If the sphere carries a total charge of 1.00 x10-9 C, how fast would the electron be moving when it reaches the surface of the sphere.
Galaxies form by gravitational collapse of regions that are denser than average. Noting that the present day average mass density of the universe is ρ = 3 × 10-30 g/cm-3, estimate how long it takes for a galaxy to collapse.
Each is afraid that one vine will break; as a result they grab each other and hang on. They swing upward together, reaching a point where the vines make an angle of 22.1° with the vertical. Find the value of the ratio m/M.
On a cool morning, when the temperature is 16.0 ^circC, you measure the pressure in your car tires to be 20.0 psi. After driving 30.0mi on the freeway, temperature of your tires is 51.0 ^circC.
The distance between points A and B along the open flow path is 500 ft. Calculate the total head loss between points A and B. Assume A and B are at the same elevation.
River Pascal with a volume flow rate of 3.3×10^5 joins with River Archimedes, that carries 1.09×106 , to form the Bernoulli River. The Bernoulli River is 120 wide and 20 deep.
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