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Consider a soot particle of mass msoot = 1.0 nanogram (=1.0 x 10-9 g = 1.0 x 10-12 kg), which corresponds to a diameter of a few microns. Some number of electrons have been added to give the particle a total charge qsoot, suppose the collector has a total charge of qcollector = 1.0 x 10-6 C and is small enough to be treated as a point charge at the rim of the smokestack. (a) if the separation between the collector and the soot particle is r = 0.10 m, what is the value of qsoot so that the electric force exerted on the particle is equal to its weight? (b) How many electrons must be added to the soot particle?
A dc shunt motor after running for several hours on constant mains of 350 V takes a field current of 1,6 A. If the temperature rise is known to be 40°C, what value of extra circuit resistance is required to adjust the field current to 1,6 A when starting from cold at 20°C?
The temperature coefficient of the motor’s armature material is 0,0043/K at 20°C.
How does students factor contribute to teachers daily practices
if theres 180 grams of ci2 how many moles of FeCl3 can be produced?
A watervpump lifts water from a level 10 m below the ground. Water is pumped at a rate of 30kg/minute with negligible velocity and friction. Calculate the minimum horsepower the engine should have for this? Use g=9.8 m/s^2
Determine the curl of F which is (∇ × F ) at the point (2, 0, 3) given that
F = ze2xy i + 2xz cosy j+ (x + 2y)k
We have a horizontal spring with a mass attached oscillating with a maximum displacement of A on either side. At which intermediate displacement(s) the kinetic energy would equal the potential energy
5. Consider the demand and supply functions for the notebooks market.
𝑄𝐷=10,000−100𝑝 𝑄𝑆=900𝑝
a. Make a table with the corresponding supply and demand schedule.
b. Draw the corresponding graph.
c. Is it possible to find the price and quantity of equilibrium with the graph method?
d. Find the price and quantity of equilibrium by solving the system of equations.
6. Supply and demand functions show different relationships between the price and quantities supplied and demanded. Explain the reason for that relation.
1. Consider the market supply curve which passes through the intercept and from which the market equilibrium data is known, this is, the price and quantity of equilibrium 𝑷𝑬=𝟓𝟎 and 𝑸𝑬=𝟐𝟎𝟎𝟎.
a. Considering those two points, find the equation of the supply.
b. Draw a graph of this line.
2. Considering the previous supply line, determine if the following demand function corresponds to the market demand equilibrium stated above. 𝑸𝑫=𝟑𝟎𝟎𝟎−𝟐𝒑.
3. The production function of a firm is described by the following equation 𝑸=𝟏𝟎,𝟎𝟎𝟎𝑳−𝟑𝑳 𝟐 where L stands for the units of labor.
a) Draw a graph for this equation. Use the quantity produced in the y-axis and the units of labor in the x-axis.
b) What is the maximum production level?
c) How many units of labor are needed at that point?
4. Solve the following system of equations.
50𝑥+20𝑦=1800 10𝑥+3𝑦=300
The length of the base of a rectangular prism is twice its width. The perimeter of the base is 42 yards. If the volume of the prism is 980 cubic yards, find the height of the prism.
#340153 on Dec 2023