Assuming a reciever is located 10km from a 50w transmitter. the carrier frequency is 1900Mhz, free Gr=2, find
I) the power at the receiver,
II) the magnitude of the E-field at the receiver antenna,
iii) the open circuit RMS voltage applied to the receiver input assuming that the receiver antenna has 50ohms and is match to the receiver .
iv) find the received power at the mobile using the two- ray ground reflection model assuming the height of the transmitting antenna is 50m, recieving antenna is 1.5m above the ground , and the ground reflection is -1

Note: Please acknowledge the list of possible answers for each question. The CORRECT answer is one of those answers. An answer that does NOT match one of the listed answers is INCORRECT.

Question:

Part A) On a loop-the-loop of diameter D = 37.8 ± 0.5 cm, what is the expected minimum starting height hthat the ball must be released from to make it around the loop?

Possible answers: 0.601, 0.903, 0.506, 0.571, 0.806, 0.51, 0.822, 0.849, 0.667, 0.927

Part B) On a loop-the-loop of 45.0 ± 0.7 cm in diameter, what is the uncertainty in the expected minimum starting height σ_h that the ball must be released from to make it around the loop?

Possible answers: 0.003, 0.004, 0.005, 0.008, 0.009, 0.011. 0.001

Part C) If, on the loop-the-loop of diameter 46.3 ± 0.5 cm, the minimum height found by testing is h_meas = 73.5 ± 1 cm, what fraction of the ball's energy is lost to friction and wobble?

Possible answers: 0.183, 0.15, 0.322, 0.222, 0.25, 0.082, 0.223, 0.138, 0.144, 0.177

Part D) If, on the loop-the-loop of diameter 43.1 ± 0.7 cm, the minimum height found by testing is h_meas = 78.5 ± 0.6 cm, what is the uncertainty in the fractional energy is loss?

Possible answers: 0.005, 0.013, 0.004, 0.01, 0.014, 0.009, 0.011, 0.012, 0.006, 0.007

Two asteroids collide in space. The collision is not completely inelastic--the asteroids pull apart and continue on their way. Their masses are 8.7 X 10⁸ kg for Asteroid A and 3.4 X 10⁸ kg for Asteroid B. Treat Asteroid A as being initially at rest. Asteroid B, moving at high speed, strikes Asteroid A and moves from the collision at a speed of 7300 m/s in a direction 48 degrees from its original path. Meanwhile, Asteroid A moves away from the collision at a spee of 4400 m/s at an angle of 27 degrees from the original path of Asteroid B, but in the opposite direction, of course. Assume no significant amount of mass is lost in the collision (a definite oversimplification).

a) Find the initial momentum, and from it the original speed, of Asteroid B before the collision.

b) How much kinetic energy was lost in the collision?

A series of numerical values have been obtained from a temperature sensor operating in a refrigeration unit. You have been tasked to use the C programming language to develop a program which will query the data series to compute a statistical summary. Upload your C source file to answer the question. The following conditions apply:

• Your program will read data via the standard input stream, and generate a report to the standard output stream.

• The data will be supplied in a plain text file.

• Numeric values are represented as decimal-format integers, separated by white space.

• Values of interest occupy the range {-10,…,30}.

• Due to sampling errors, the series also contains outliers – integers which fall outside the range of interest.

• Your program must parse the input file and count the number of occurrences of each value in the range of interest, ignoring any value outside that range.

• It should produce a statistical summary containing:

  • The lowest occurrence count, and all values for which the occurrence count is equal to the lowest count.

  • The second-lowest occurrence count, and all values for which the occurrence count is equal to the second-lowest count.

  • A complete listing showing the number of occurrences of each value in the range of interest.

• You are advised to use the code skeleton below as the starting point for your solution.

  #include <stdio.h>
  #include <stdlib.h>
  #include <limits.h>
  
  #define MAX_VAL 30
  #define MIN_VAL -10
  
  // Declare and initialise any additional global variables here, as required.
  
  void process(int x) {
      // Process one value here.
  }
  
  void post_process() {
      // Compute derived results here.
  }
  
  void print() {
      // Print results here
  }
  
  int main(void) {
      int x;
      while (1 == scanf("%d", &x)) {
          process(x);
      }
      post_process();
      print();
      return 0;
  }

• The program should process any data file correctly, but to help in your development, sample input data file sample.txt is provided below:

  -6 23 29 15 32 39 -13 12 24 -7 33 32 40 22 35 -2 20 25 27 36 -18 27 -7 35 -11 25 -16 24 8 10 31 10 18 3 31 2 4 -2 40 -18 18 -1 -8 33 21 -19 -8 21 14 -14 23 32 -8 12 -18 30 -2 -4 37 29 -18 37 8 24 32 10 32 -12 6 14 28 30 13 -13 30 -11 22 20 32 22 16 36 29 -8 13 -19 13 -6 -8 37 1 -10 -14 -14 34 -9 -1 21 -13 5 -8 24 -4 31 3 15 38 -8 -13 11 5 21 25 -13 6 22 40 -11 13 -16 30 -18 -12 28 11 -6 10 12 -10 -14 40 20 -2 -5 -16 -17 4 -12 10 24 -12 27 15 1 37 1 6 -2 14 20

• When compiled as program example and executed with the following command:

  cat sample.txt | ./example

  your program will ideally produce this output:

  The lowest count is 0, at -3, 0, 7, 9, 17, 19, 26
  The second-lowest count is 1, at -9, -5, 2, 16
  The complete histogram is:
  -10 -> 2
  -9 -> 1
  -8 -> 7
  -7 -> 2
  -6 -> 3
  -5 -> 1
  -4 -> 2
  -3 -> 0
  -2 -> 5
  -1 -> 2
  0 -> 0
  1 -> 3
  2 -> 1
  3 -> 2
  4 -> 2
  5 -> 2
  6 -> 3
  7 -> 0
  8 -> 2
  9 -> 0
  10 -> 5
  11 -> 2
  12 -> 3
  13 -> 4
  14 -> 3
  15 -> 3
  16 -> 1
  17 -> 0
  18 -> 2
  19 -> 0
  20 -> 4
  21 -> 4
  22 -> 4
  23 -> 2
  24 -> 5
  25 -> 3
  26 -> 0
  27 -> 3
  28 -> 2
  29 -> 3
  30 -> 4

Stop and Shop grocery shops Incorporation study showed that 50% of all customers will return to the same grocery shop. Suppose six customers are selected at random, what is the probability that:

(a) Exactly two customers will return?

(b) All six customers will return?

(c) At least five customers will return?

(d) At least one customer will return?

(e) How many customers would be expected to return to the same store?

The current price of a non-dividend-paying stock is $50. Over the next six months it is expected to rise to $60 or fall to $48. Assume the risk-free rate is zero. An investor sells call options with a strike price of $55. What is the value of each call option according to the one-step binomial model? Please enter your answer as a number rounded to two decimal places (with no dollar sign).

Part A

What is a radioactive decay series?

Match the words in the left column to the appropriate blanks in the sentences on the right. Make certain each sentence is complete before submitting your answer.

Suppose the table gives the number N(t), measured in thousands, of minimally invasive cosmetic surgery procedures performed in the United States for various years t.

t N(t)(thousands)

(b) Construct a table of estimated values for N'(t). (Use a one-sided difference quotient with an adjacent point for the first and last values, and the average of two difference quotients with adjacent points for all other values. Round your answers to two decimal places.)