Questions
Speed of a Softball Solution(Mastering Physics Chapter 03: Motion in Two Dimensions)

A softball is hit over a third baseman’s head with speed v0 and at an angle θ from the horizontal. Immediately after the ball is hit, the third baseman turns around and runs straight back at a constant velocity V = 7.000 m/s, for a time t = 2.000 s. He then catches the ball at the same height at which it left the bat. The third baseman was initially L = 18.00 m from the location where the ball was hit at home plate.

a. Find v0. Use g = 9.807 m/s2 for the magnitude of the acceleration due to gravity.

b. Find the angle θ in degrees.

c. Find a vector expression for the velocity v of the softball 0.1 s before the ball is caught.

d. Find a vector expression for the position r of the softball 0.1 s before the ball is caught.

In: Physics

Suppose there are 2 consumers, A and B. The utility functions ofeach consumer are given...

Suppose there are 2 consumers, A and B. The utility functions of each consumer are given by: UA(X, Y ) = X^1/2 Y^1/2 UB(X, Y ) = 3X + 2Y The initial endowments are: WXA = 10, WYA = 10, WXB = 6, WYB = 6

a) (20 points) Using an Edgeworth Box, graph the initial allocation (label it W) and draw the indifference curve for each consumer that runs through the initial allocation. Be sure to label your graph carefully and accurately.

b) (4 points) What is the marginal rate of substitution for consumer A at the initial allocation?

c) (4 points) What is the MRS for consumer B at the intial allocation?

d) (4 points) Is the initial allocation Pareto efficient? How do you know

In: Economics

Which of the following shocks did NOT contribute to the Great Depression rising interest rates stock...

  1. Which of the following shocks did NOT contribute to the Great Depression

    rising interest rates

    stock market crash

    bank panics

    rising budget deficits

  2. Both the Great Recession and the Great Depression

    had unemployment peaking at 10%

    were caused by short-run aggregate supply shocks

    were associated with falling prices

    were associated with a financial crisis

  3. During the Great Depression, the lack of which safeguard for depositors created the incentive for bank runs?

    Interest rate caps

    unemployment insurance

    deposit insurance

    social security

  4. When depositors withdraw from the banking system,

    economic activity improves because people spend their money

    economic activity declines because banks are unable to make loans

    economic activity is unaffected because banks do not produce goods or services

    none of the above

In: Economics

Refer to the Baseball 2016 data, which report information on the 30 Major League Baseball teams...

Refer to the Baseball 2016 data, which report information on the 30 Major League Baseball teams for the 2016 season.

  1. At the .10 significance level, is there a difference in the variation in team salary among the American and National League teams?
  2. Create a variable that classifies a team’s total attendance into three groups: less than 2.0 (million), 2.0 up to 3.0, and 3.0 or more. At the .05 significance level, is there a difference in the mean number of games won among the three groups?
  3. Using the same attendance variable developed in part (b), is there a difference in the mean number of home runs hit per team? Use the .05 significance level.
  4. Using the same attendance variable developed in part (b), is there a difference in the mean salary of the three groups? Use the .05 significance level.

In: Statistics and Probability

Refer to the Baseball 2016 data, which report information on the 30 Major League Baseball teams...

Refer to the Baseball 2016 data, which report information on the 30 Major League Baseball teams for the 2016 season.

  1. At the .10 significance level, is there a difference in the variation in team salary among the American and National League teams?
  2. Create a variable that classifies a team’s total attendance into three groups: less than 2.0 (million), 2.0 up to 3.0, and 3.0 or more. At the .05 significance level, is there a difference in the mean number of games won among the three groups?
  3. Using the same attendance variable developed in part (b), is there a difference in the mean number of home runs hit per team? Use the .05 significance level.
  4. Using the same attendance variable developed in part (b), is there a difference in the mean salary of the three groups? Use the .05 significance level.

In: Statistics and Probability

At a major food production facility, a cart of bananas with a mass of 200kg is...

At a major food production facility, a cart of bananas with a mass of 200kg is at the top of a 10m high hill, moving with a speed of 6m/s. At the end of the production line is a segment where brakes are applied (uk = 0.4; D = 8m), and then the cart runs into a giant stopping spring (K = 10,000 N/m; total length = 4m).

a. Draw a FBD of the cart while in contact with the spring.

b. Show that the initial energy (at the top of the hill) of the cart is 23,200J.

c. Determine the distance the cart goes after touching the spring before it is brought to rest for the first time (answer to B is Eo).

d. Assuming that, after touching the spring, the cart travels 1.5m (not answer to part C) before stopping, determine the acceleration of the cart at the time its speed is zero.

In: Physics

The accompanying data are the number of wins and the earned run averages​ (mean number of...

The accompanying data are the number of wins and the earned run averages​ (mean number of earned runs allowed per nine innings​ pitched) for eight baseball pitchers in a recent season. Find the equation of the regression line. Then construct a scatter plot of the data and draw the regression line. Then use the regression equation to predict the value of y for each of the given​ x-values, if meaningful. If the​ x-value is not meaningful to predict the value of​ y, explain why not.

​(a) x=5 wins

​(b) x=10 wins

​(c) x=21 wins

​(d) x=15 wins

Wins, x= 20 18 17 16 14 12 11 9

Earned run average, y= 2.74 3.31 2.65 3.64 3.94 4.34 3.88 5.16

1. Find the regression equation.

  1. Graph below

In: Statistics and Probability

The accompanying data are the number of wins and the earned run averages​ (mean number of...

The accompanying data are the number of wins and the earned run averages​ (mean number of earned runs allowed per nine innings​pitched) for eight baseball pitchers in a recent season. Find the equation of the regression line. Then construct a scatter plot of the data and draw the regression line. Then use the regression equation to predict the value of y for each of the given​ x-values, if meaningful. If the​ x-value is not meaningful to predict the value of​ y, explain why not. ​(a) x=5 wins (b) x=10wins (c) x=21 wins (d) x=15 wins

The equation of the regression line is y = (__) x + (__).

Wins, x

Earned run​ average, y

20, 2.72
18 3.26
17 2.72
16 3.75
14 3.83
12 4.41
11 3.73
9 5.07

In: Statistics and Probability

Miranda, a satellite of Uranus, is shown in part a of the figure below. It can...

Miranda, a satellite of Uranus, is shown in part a of the figure below. It can be modeled as a sphere of radius 242 km and mass 6.68 1019 kg.

(a) Find the free-fall acceleration on its surface. (m/s2)

(b) A cliff on Miranda is 5.00 km high. It appears on the limb at the 11 o'clock position in part a of the figure above and is magnified in part b of the figure above. A devotee of extreme sports runs horizontally off the top of the cliff at 8.50 m/s. For what time interval is he in flight? (Ignore the difference in g between the lip and base of the cliff.) (s)

(c) How far from the base of the vertical cliff does he strike the icy surface of Miranda? m (d) What is his vector impact velocity? (m/s ° below the horizontal)

In: Physics

The length of nylon rope from which a mountain climber is suspended has a force constant...

The length of nylon rope from which a mountain climber is suspended has a force constant of 1.1 × 10^4 N/m.

Part (a) What is the frequency, in Hz, at which he bounces, given his mass and the mass of his equipment is 86 kg?

Part (b) How much would this rope stretch, in centimeters, to break the climber's fall if he free-falls 1.6 m before the rope starts to stretch?

Part (c) What is the frequency, in Hz, at which he bounces, given his mass and the mass of his equipment is 86 kg if the rope is twice as long?

Part (d) How much would this rope stretch, in centimeters, to break the climber's fall if he free-falls 1.6 m before the rope runs out of slack if the rope was twice the length?

In: Physics