A student sits on a rotating stool holding two 2.2-kg objects. When his arms are extended horizontally, the objects are 1.0 m from the axis of rotation and he rotates with an angular speed of 0.75 rad/s. The moment of inertia of the student plus stool is 3.0 kg · m2 and is assumed to be constant. The student then pulls in the objects horizontally to 0.46 m from the rotation axis. (a) Find the new angular speed of the student. (b) Find the kinetic energy of the student before and after the objects are pulled in. before after (c) Where does the energy difference come from/go to?

Expected return

A stock's returns have the following distribution:

1. Calculate the stock's expected return. Round your answer to two decimal places.
   %

2. Calculate the stock's standard deviation. Do not round intermediate calculations. Round your answer to two decimal places.
   %

3. Calculate the stock's coefficient of variation. Round your answer to two decimal places.

Consider a Solow economy with the following production function

F(K,N) = zK^(1/3)N^(2/3)

and parameters d = 0.05, s = 0.2, N0 = 100 and z = 1.0. Suppose K = 300 in period 0 and the

unit period is one year. In contrast to the standard Solow model, we assume that the population

growth rate n is no longer exogenous but rather endogenous and determined by

(1 + n) = N’/N = g(C/N) = (C/N)^3 as it is the case in the Malthusian model.

1) Determine the dynamics for the per worker capital (k). This is the first question in the problem

Calculate the pH of the buffers prepared in the following ways:

A. By mixing 50.00 mL of 0.200 M ammonium nitrate, NH4NO3, with 25.00 mL 0.200 M NaOH

B. By neutralizing half of the acid in 100.00 mL of 0.200 M ammonium nitrate solution with 1.0 M NaOH

C. By mixing 60.00 mL of 0.400 M sodium formate (NaCHOO) with 40.00 mL 0.360 M HCl

D. By mixing 80.00 mL of 1.00 M NH3 with 40.00 mL of 1.00 M HCl

E. By mixing equal volumes of 1.00 M NH3 and 0.50 M HCl

A bottled water distributor wants to determine whether the mean amount of water contained
in 1-gallon bottles purchased from a nationally known water bottling company is actually 1
gallon. You know from the water bottling company specifications that the standard deviation of
the amount of water per bottle is 0.02 gallon. You select a random sample of 50 bottles, and
the mean amount of water per 1-gallon bottle is 0.995 gallon.
(a) Is there evidence that the mean amount is different from 1.0 gallon? (Use α = 0.01)
(b) Compute the p-value and interpret its meaning.

Question # 1:A dispensing machine is set to produce 1 pound lots of a particular compound. The machine is fairly accurate, producing mean weight of lots equal to 1.0 pound with a standard deviation of 0.12 pounds. Thirty five lots are randomly selected:

(a)What is the mean weight of the sample mean of the thirty five randomly selected lots?

(b)What is the standard deviation of weight of the sample mean of the thirty five randomly selected lots?

(c)Find the probability that the mean weight is greater than 1.1 pounds.

(d)Find the probability that the mean weight is less than 0.95 pounds

Consider a 12-bit ADC with an analog input voltage range of 0 to 3 volts.

a) Compute the ADC precision, ADC ranges for input and output, and ADC resolution.

b) What is the binary value computed by the ADC for an analog input voltage of 1.0 volt?

c) Write an ADC0_In function in C that uses busy-wait synchronization to sample the ADC. The function reads the ADC output, and returns the 12-bit binary number. Assume the ADC has already been initialized to use sequencer 3 with a software trigger and channel 1. See supplement pages for ADC registers.

Motor Skill: Volleyball Spike

Goal: The goal of volleyball spike is to spike the ball above a standard height net such that the ball lands as close as possible to 400 centimetres from the centre line in the opposite side of the court.   

could I please have help with the following for the above motor skill goal

.1.0 Motor Skill Analysis

1.1 Size of Primary Musculature Required

1.2 Specificity of Skill Beginning and End

1.3 Stability of the Environmental Context

1.4 Gentile’s Two-Dimension Taxonomy

1.5 Regulatory and Non-Regulatory Conditions

1.6 Skill Complexity and Skill Organisation Characteristics

A rectangular footing (0.75m∙0.75m), embedded 0.5 m, carries a downward column load of 200 kN. The footing is supported on an overconsolidated clay with the following properties:

Cr = 0.05         e = 0.7             OCR = 2.0

PI = 55            cu = 200 kPa ϒsat = 16.2 kN/m3

The ground water table is at a depth of 1.0 m below the ground surface.

a) Calculate the primary consolidation settlement for this footing.

b) Is the calculated Sc within tolerable limits?

Hint: This clay deposit is very deep. Assume that the portion (or thickness) of the clay layer that will consolidate is between z = Df and z = Df + 2B.

Drag measurements were taken for a 5 cm diameter sphere in water at 20 °C to predict the drag force of a 1 m diameter balloon rising in air with standard temperature and pressure. Given kinematic viscosity of water (v) = 1.0 X 10^-6 m²/s and kinematic viscosity of air (v) = 1.46 X 10^-5 m²/s.

1. Perform the Buckingham Pi theorem to generate a relationship for F_D as a function of the independent variables. Assume the drag F_D is a function of diameter (d), velocity (V), fluid density (ρ) and kinematic viscosity (v)