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1. A marble rolls with a velocity of 10 mm/s [E] on a game board that is being pulled [60o N of E] at 40.0 mm/s. What is the velocity of the marble relative to the floor?
2. An airplane flies with a velocity of 55.0 m/s [ 35o N of W] with respect to the air (this is known as air speed). If the velocity of the airplane according to an observer on the ground is 40.0 m/s [53o N of W], what was the wind velocity?
3. If you were trying to cross a river with the shortest possible time, would you aim your boat slightly upstream, directly across the river, or slightly downstream? Explain.
For a feed rate 2000 kg/h of solution, composition 30% w/w MEK, determine the number of stages required to recover 95% of the dissolved MEK, using 700 kg/h TCE, with countercurrent flow. Tie-line data for the system MEK-water-TCE percentages w/w, ..
Consider a diatomic gas, N2, at 298 K. This gas is compressed reversibly and adiabatically from 15 dm3 to 5.0 dm3. Assume that the heat capacity of this gas is CV=5R/2, and that it behaves ideally. Calculate the final temperature, T2, of the gas.
When algae growing in water containing only 16O were furnished carbon dioxide containing 18O, no 18O was found to be evolved from the oxygen gas produced. What conclusions about photosynthesis can be drawn from these experiments?
If the higher-pressure steam expands in a turbine of 78% efficiency and the lowerpressure steam is compressed in a machine of 75% efficiency. Make a thermodynamic analysis of this process.
The core loss at rated voltage is 45 W, and the copper loss at rated load is 100 W. Neglect the exciting current of the transformer. Find the per-unit voltage regulation when the transformer is supplying full load at 110 V and 0.9 lagging power fa..
A synchronous generator has a rotor with six poles and operates at 60 Hz.
The precooler uses cold vapor from the separator as the cooling medium; this vapor leaves the precooler at 20 °C (stream). Perform the energy and entropy balances on the basis of 1 kg/s of liquid nitrogen produced.
Calculate the fugacity and the fugacity coefficient of each component in the vapor and in the liquid. Fill out the table below but explain your work.
Suppose the rails in Figure 10.5a have a resistance r[Ω/m] each. The bar is perfectly conducting. Calculate the current in the resistor R at a time t if the bar starts at t = 0 at x = 0 (x = 0 is at the location of R) and moves at constant speed v..
His Ph.D. research atStanford focused on computer simulations of how mechanical stresses affect bone growth and adaptive changes around implants. He was doing biomechanics but "with a little 'b' and a big 'M'," he says.
What number of acidic hydrogens per molecule does citric acid have?
One mol of n-butane and 1 mol of n-pentane are charged into a container. The container is heated to 180oF where the pressure read 100 psia. Determine the quantities and compositions of the phases in the container.
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