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6. Suppose that you are travelling in the Space Shuttle Endeavor on a journey to Mars. The atmosphere (of the vehicle) consists of 20% oxygen and 80% helium by volume. It was noticed before take off from the Kennedy Space Center that there is a small leakage which if unchecked, would lead to a continual loss of gas at a rate of 0.05 atm/day through effusion. If the temperature in the space shuttle is maintained at 22oC and the volume of the vehicle is 15,000 liters. Calculate the amounts of helium and oxygen in grams that must be stored on a 5-day journey to allow for the leakage.
A 0.500 cm diameter plastic sphere, used in a static electricity demonstration, has a uniformly distributed 40.0 pC charge on its surface. what is the potential near its surface?
Find the electric field midway between a 2-μC point charge wich are 2.5m apart.
Describe the difference between a chained conditional and a nested conditional. Give your own example of each.
If a Satellite with a radius of 5.3m transmitted a message at the frequency of 1.3 MHz to the earth station. Determine;
i. The wavelength, and time, in the hour of the transmission
ii. The centrifugal force of the satellite
iii. The attenuation of the transmission
The table below shows the weight of 21 students (on the left) and the corresponding number of students with that weight (on the right). Compute the Mean of the data below.
Weight No. of Students
34 5
39 8
43 2
45 6
Assuming the about run cost function of a firm is given by:TC=4Q3+3Q2+10Q+30.
a)find the expression of TFC and TVC.
b) derive the expression of AFC,AVC,AC and MC.
c) find the levels of output that minimize MC and AVC.
d) find the minimum values of MC and AVC
250 members of a certain society have voted to elect a new chairman. Each member may vote for either one or two candidates. The candidate elected is the one who polls most votes. Three candidates x, y z stood for election and when the votes were counted, it was found that: - 59 voted for y only, 37 voted for z only - 12 voted for x and y, 14 voted for x and z - 147 voted for either x or y or both x and y but not for z - 102 voted for y or z or both but not for x Required i. Present the information in a Venn diagram. (6 Marks) ii. How many voters did not vote? (4 Marks) iii. How many voters voted for x only? (2 Marks) iv. Who won the elections?
Consider a firm who involved in investment of coffee production short run with a function given by:Q=10KL-4L2-2K2 where Q is quantity of coffee production, L is labor input and K is fixed capital input (K=8).
a) determine the average product of labor APL function
b) at what level of labor does the total output of coffee yield reach the maximum?
c) what will be the maximum achievable amount of cut-flower production?
Two charges are found to be 0.25 m apart. The charge of the first is thrice the charge of the second. If the magnitude of the second charge is 2 uC, find the force experienced by the first charge due to the second charge.
#340153 on Dec 2023