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Calculate the corrected speed in m/s of bromoform in a sand aquifer with hydraulic conductivity 0.0002 m/s and porosity 0.7. The flow path is 490 m, the hydraulic head is 4.1 m. The cross section of the flow is 38 m2. The retardation factor of bromoform is 1.9.


Discuss the modulator type which has its functions as the one with the diode

operated in a non-linear mode. Support your solution with a diagram.



To mitigate impairments in communication system there is the need to 

discuss how Shannon defines and measures information. As communication

engineer you are required to give your submission on the above.



The cost of a high school football helmet ranges from $150 to $400. The average cost of a high school lacrosse helmet is around $85. Do you think your soccer helmet is priced too high or too low for high school players? Explain your reasoning.


  1. A 40 W motor is now used to launch the rocket at an angle of [R 60 U] (m = 240g), The launcher can fire 5 rockets each second. *Neglect air resistance*
  2. What work was put into launching a single rocket?  (2 marks)
  3. What was the speed of the rocket 1.3m above the ground? (4 marks)
  4. When the rocket reaches its maximum height, it is 3.4 m above the ground.  What is the speed at this height? (2 marks)
  5. How high above the ground is the rocket if its speed is 7 m/s? (2 marks)
  6. The rocket ends up hitting a sand castle as it falls towards the ground. If it travels through the castle for 15cm before stopping, determine the average force friction the rocket encounters (2 marks)

In Thika, the earth’s magnetic field is approximately uniform, nearly horizontal and of magnitude . A metal bar of length 1.2 m carries a current of 1.7 A. The bar is held horizontally in east – west direction. What is magnitude and direction of the magnetic force on the bar?


A car is carrying a 24 kg box on its top. The coefficient of static and kinetic friction between the box and the car are 0.5 and 0.4 respectively. If the acceleration of the car is 1 m/s2, then the force of friction between the box and the car is:


A speaker generates sound waves which complete one vibration every 3 ms. Some person 170 metres away from the speaker hears the sound after 0.5 s from producing the sound. Calculate the distance between a compression and a successive rarefaction.


 A car of mass 2500 kg travels at a velocity of 75 m/s due west. What is the magnitude and direction of the momentum of the car


The radius and surface charge density of a uniformly charged spherical shell are

20 cm and ,m C0.3 −2  respectively. Calculate the electric potential at a distance

(a) 40 cm and (b) 15 cm from the center of the shell.


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