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An object of unknown mass m is hung from a vertical spring of unknown spring constant k, and the object is observed to be at rest when the spring has stretched by 14 cm. The object is then given a slight push upward and executes SHM. Determine the period T of this oscillation.


QUESTION 1

Some workers re-roofing a building are using a slide to get material from the roof to a bin beside the building.

Assume that the slide is frictionless and that the material being slid down starts at the top of the slide at rest.

If the bin is 4.4 m vertically below the top of the slide then at what speed will the material enter the bin? (in m s-1 to 2 s.A)


A concentrated solution of aqueous ammonia is 25.0% w/w NH3 and has a






density of 0.999 g/mL.







What is the molar concentration of NH3 in this solution?

Determine the area of the normal distribution with mean of 10, standard deviation of 5 and scores between 5 to 12



Assume that when adults with smartphones are randomly selected, 39% use them in meetings or classes. If 8 adult smartphone users are randomly selected, find the probability that exactly 5 of them use their smartphones in meetings or classes.


As the sample size n increases, the shape of the distribution of the sample means taken from a population with the mean and standard deviation will approach a normal distribution. This distribution will have a mean and standard error.



A. Sample mean


B. Central limit theorem


C. Sample size


D. Sampling distribution

Suppose a woman marries her chief manservant. After they are married, her husband continues to wait on her as before, and she continues to support him as before (but as a husband rather than as an employee): How does marriage affect GDP?




Give the IUPAC name for each of the following alkanes and cycloalkanes:


CH3—CH3






Write a C++ program that displays the row numbers of a matrix containing at least two prime numbers. First, the program should create a 2D array (5 rows, 5 columns). Then, ask the user to input values in the matrix or 2D array. After that, program should display row number (or index) which has at least two prime numbers. If no row (of the matrix) contains at least two prime numbers then the program should display the message “No row found containing two prime numbers”.

  1. Compute for the amount of charge (q) of a 15 V battery with -45 J potential energy
  2. A metal sphere has 5x10^-9C static charge. Compute the voltage if the radius is equal to 0.05m. (k=8.99 x 10^9 N.m^2/C^2
  3. Find the Total capacitance of the three given capacitors in series connection, given their individual capacitances, 4.0 μF, 15.0 μF.
  4. Find the net capacitance of the three given capacitors connected in parallel, given their individual capacitances, 2.0 μF, 5.0, μF, 8.0 μF.
  5. A parallel plate capacitor was placed 0.002 m apart. Compute for the capacitance if the area each plate is equal to 0.025 m^2. (ε0 = 8.85x10^-12 F/m)
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