A person with mass mp=80 kg is standing at rest on a horizontal, frictionless surface holding a ball of wet clay with mass mg=10 kg . In front of the person is a large block with mass M=20 kg at rest next to a spring with stiffness k=100 N/m . The person throws the ball horizontally, it sticks to the block, and then ball and block slide and compress the spring a distance 1=0.75 m away from equilibrium before the ball-block springs back toward the person. (Assume the distance the ball is thrown is short, so that we can ignore the vertical component of its velocity.)

a) Draw the following moments in time with the given labels: At t=0, the person is holding the ball and all objects are rest. At t=1 the ball has left the person's hands. At t=2 the ball and block move together with speed V2. At t=3; the ball and block have fully compressed the spring. At t=4 the ball and block are sliding back toward the person, At t=5 the person, the ball, and the block are all moving together, HINT: Include a coordinate system! Remember that momentum is a VECTOR and energy is a SCALAR.

b) Find V2 (the speed of the ball and the block just before they start compressing the spring)

c) Find VB. (the speed of the ball after it was thrown, but before it hits the block)

d) Find Vp (the speed of the person after the ball was thrown)

e) Find Vs (the speed at which the person, ball, and block move after the ball and block bounced back off the spring and collided with the person)

f) If it takes 0.2 seconds for the person and the ball-block to get to the same velocity, find the impulse on the person due to the ball-block. AND find the force on the person due to the ball-block,

A manager wishes to see if the time (in minutes) it takes for their workers to complete a certain task is faster if they are wearing ear buds.   A random sample of 20 workers' times were collected before and after wearing ear buds. Test the claim that the time to complete the task will be faster, i.e. meaning has production increased, at a significance level of α = 0.01

For the context of this problem, μ_D = μ_before−μ_after where the first data set represents before ear buds and the second data set represents the after ear buds. Assume the population is normally distributed. The hypotheses are:

H₀: μ_D = 0
H₁: μ_D > 0

You obtain the following sample data:

a) Find the p-value. Round answer to 4 decimal places.

Answer:

b) Choose the correct decision and summary.

Application Exercise:
A researcher is studying the effects of inserting questions into instructional material for learning. There is doubt whether these questions would be more effective before or after the corresponding passage. In addition, the researcher wants to know the impact of factual and thought provoking questions. Students are randomly assigned to one of each of the four combination: position of question (before vs. after the passage) and type of question (factual vs. thought provoking). After 10 hours of studying under these conditions, the students are given a test on the content of the instructional materials. The test scores are below. What can be concluded with an ? of 0.05?

                     Position

a) What is the appropriate test statistic?
---Select--- na one-way ANOVA within-subjects ANOVA two-way ANOVA

b) Compute the appropriate test statistic(s) to make a decision about H₀.
Type: critical value =  ; test statistic =  
Decision:  ---Select--- Reject H0 Fail to reject H0

Position: critical value =  ; test statistic =  
Decision:  ---Select--- Reject H0 Fail to reject H0

Interaction: critical value =  ; test statistic =  
Decision:  ---Select--- Reject H0 Fail to reject H0


c) Compute the corresponding effect size(s) and indicate magnitude(s).
Type: ?² = ;  ---Select--- na, trivial effect, small effect, medium effect, large effect
Position: ?² = ;  ---Select--- na, trivial effect, small effect, medium effect, large effect
Interaction: ?² =   ;  ---Select--- na, trivial effect, small effect, medium effect, large effect


d) Make an interpretation based on the results. (pick one)

-There is a question type difference in the test scores.

-There is no question type difference in the test scores.   

-There is a question position difference in the test scores.

-There is no question position difference in the test scores.    

-There is a question type by position interaction in the test scores.

-There is no question type by position interaction in the test scores.

A dog in a weight-pulling competition tugs a 50-kg sled a distance of 5 m across a snowy track. The dog pulls horizontally with a force of 350 N. The coefficient of kinetic friction between the sled and the snow is 0.05. (Draw yourself a free-body diagram on the sled). The next four questions have to do with this scenario.

Determine the work done by the dog.

I got the correct work (1750J)

Add up the y-components, ΣF_y, and determine the normal force the ground exerts upward on the sled.

Using your result from above, calculate the kinetic frictional force between the sled and the snowy track.

Determine the work done by friction.

A daring 51-kg swimmer dives off a 9-m high cliff. At the edge of the cliff her speed is 1.5 m/s. As the swimmer travels through the air, air resistance does -900 J of work on her. The next three questions have to do with this swimmer.

Which is the correct conservation of energy expression for this diving swimmer?

Using the appropriate conservation of energy expression, determine the kinetic energy of the swimmer as she safely enters the water at the bottom of the cliff.

Using your result from above, determine the swimmer's speed as she enters the water.

A 1.5-kg ball rolling to the right at a speed of 3 m/s collides with another ball of mass 3.0 kg rolling to the left at a speed of 2 m/s. As a result of the collision, the 1.5-kg ball recoils to the left at a speed of 1.5 m/s. (Draw yourself a before & after picture of this collision).  The next five questions have to do with this collision.

Calculate the momentum (magnitude and direction) of the 1.5-kg ball immediately before the collision.

Calculate the momentum (magnitude and direction) of the 3.0-kg ball immediately before the collision.

Calculate the momentum (magnitude and direction) of the 1.5-kg ball immediately after the collision.

Set up the conservation of momentum for this collision and determine the velocity (magnitude and direction) of the 3.0-kg ball immediately after the collision.

After the collision, the system's total kinetic energy is

A researcher is studying the effects of inserting questions into instructional material for learning. There is doubt whether these questions would be more effective before or after the corresponding passage. In addition, the researcher wants to know the impact of factual and thought provoking questions. Students are randomly assigned to one of each of the four combination: position of question (before vs. after the passage) and type of question (factual vs. thought provoking). After 15 hours of studying under these conditions, the students are given a test on the content of the instructional materials. The test scores are below. What can be concluded with an α of 0.05?

                     Position

a) What is the appropriate test statistic?
---Select--- na one-way ANOVA within-subjects ANOVA two-way ANOVA

b) Compute the appropriate test statistic(s) to make a decision about H₀.
Type: critical value =  ; test statistic =  
Decision:  ---Select--- Reject H0 Fail to reject H0

Position: critical value =  ; test statistic =  
Decision:  ---Select--- Reject H0 Fail to reject H0

Interaction: critical value =  ; test statistic =  
Decision:  ---Select--- Reject H0 Fail to reject H0


c) Compute the corresponding effect size(s) and indicate magnitude(s).
Type: η² =  ;  ---Select--- na trivial effect small effect medium effect large effect
Position: η² =  ;  ---Select--- na trivial effect small effect medium effect large effect
Interaction: η² =  ;  ---Select--- na trivial effect small effect medium effect large effect


d) Make an interpretation based on the results.

There is a question type difference in the test scores.There is no question type difference in the test scores.    

There is a question position difference in the test scores.There is no question position difference in the test scores.    

There is a question type by position interaction in the test scores.There is no question type by position interaction in the test scores.    

A new​ weight-loss program claims that participants will lose an average of more than 10 pounds after completing it. The accompanying data table shows the weights of eight individuals before and after the program. Complete parts​ (a) through​ (e) below.

. a. Perform a hypothesis test using alphaαequals=0.10 to determine if the average weight loss was more than 10 pounds for participants in the​ weight-loss program. Let muμd be the population mean of​ matched-pair differences for the weight before the program minus the weight after the program. State the null and alternative hypotheses. Choose the correct answer below. A. Upper H 0H0​: mu Subscript dμdless than or equals≤10 Upper H 1H1​: mu Subscript dμdnot equals≠10 B. Upper H 0H0​: mu Subscript dμdnot equals≠10 Upper H 1H1​: mu Subscript dμdequals=10 C. Upper H 0H0​: mu Subscript dμdless than or equals≤10 Upper H 1H1​: mu Subscript dμdgreater than>10 Your answer is correct.D. Upper H 0H0​: mu Subscript dμdless than<10 Upper H 1H1​: mu Subscript dμdgreater than or equals≥10 E. Upper H 0H0​: mu Subscript dμdless than or equals≤10 Upper H 1H1​: mu Subscript dμdless than<10 F. Upper H 0H0​: mu Subscript dμdequals=10 Upper H 1H1​: mu Subscript dμdnot equals≠10

b. Calculate the appropriate test statistic and interpret the results of the hypothesis test using alpha equals 0.10 (α=0.10). The test statistic is? ​(Round to two decimal places as​ needed.)

c. identify and interpret p

d. construct a 98% confidence interval to estimate average weight loss. UCL = ? LCL =? (Interpret)

e. what assumptions need to be made in order to perform this process?

A researcher is studying the effects of inserting questions into instructional material for learning. There is doubt whether these questions would be more effective before or after the corresponding passage. In addition, the researcher wants to know the impact of factual and thought provoking questions. Students are randomly assigned to one of each of the four combination: position of question (before vs. after the passage) and type of question (factual vs. thought provoking). After 10 hours of studying under these conditions, the students are given a test on the content of the instructional materials. The test scores are below. What can be concluded with an α of 0.05?

                     Position

a) What is the appropriate test statistic?
---Select--- na one-way ANOVA within-subjects ANOVA two-way ANOVA

b) Compute the appropriate test statistic(s) to make a decision about H₀.
Type: critical value =  ; test statistic =  
Decision:  ---Select--- Reject H0 Fail to reject H0

Position: critical value =  ; test statistic =  
Decision:  ---Select--- Reject H0 Fail to reject H0

Interaction: critical value =  ; test statistic =  
Decision:  ---Select--- Reject H0 Fail to reject H0


c) Compute the corresponding effect size(s) and indicate magnitude(s).
Type: η² =  ;  ---Select--- na trivial effect small effect medium effect large effect
Position: η² =  ;  ---Select--- na trivial effect small effect medium effect large effect
Interaction: η² =  ;  ---Select--- na trivial effect small effect medium effect large effect


d) Make an interpretation based on the results.

There is a question type difference in the test scores.There is no question type difference in the test scores.    

There is a question position difference in the test scores.There is no question position difference in the test scores.    

There is a question type by position interaction in the test scores.There is no question type by position interaction in the test scores.    

A researcher is studying the effects of inserting questions into instructional material for learning. There is doubt whether these questions would be more effective before or after the corresponding passage. In addition, the researcher wants to know the impact of factual and thought provoking questions. Students are randomly assigned to one of each of the four combination: position of question (before vs. after the passage) and type of question (factual vs. thought provoking). After 10 hours of studying under these conditions, the students are given a test on the content of the instructional materials. The test scores are below. What can be concluded with an α of 0.05?

                     Position

a) What is the appropriate test statistic?
---Select--- na one-way ANOVA within-subjects ANOVA two-way ANOVA

b) Compute the appropriate test statistic(s) to make a decision about H₀.
Type: critical value =  ; test statistic =  
Decision:  ---Select--- Reject H0 Fail to reject H0

Position: critical value =  ; test statistic =  
Decision:  ---Select--- Reject H0 Fail to reject H0

Interaction: critical value =  ; test statistic =  
Decision:  ---Select--- Reject H0 Fail to reject H0


c) Compute the corresponding effect size(s) and indicate magnitude(s).
Type: η² =  ;  ---Select--- na trivial effect small effect medium effect large effect
Position: η² =  ;  ---Select--- na trivial effect small effect medium effect large effect
Interaction: η² =  ;  ---Select--- na trivial effect small effect medium effect large effect


d) Make an interpretation based on the results.

There is a question type difference in the test scores.There is no question type difference in the test scores.    

There is a question position difference in the test scores.There is no question position difference in the test scores.    

There is a question type by position interaction in the test scores.There is no question type by position interaction in the test scores.    

Exercise 22-23

Sandhill Corp. was a 30% owner of Teal Company, holding 216,000 shares of Teal’s common stock on December 31, 2019. The investment account had the following entries.

On January 2, 2020, Sandhill sold 108,000 shares of Teal for $3,360,000, thereby losing its significant influence. During the year 2020, Teal experienced the following results of operations and paid the following dividends to Sandhill.

At December 31, 2020, the fair value of Teal shares held by Sandhill is $1,820,000. This is the first reporting date since the January 2 sale.

(b) Compute the carrying amount of the investment in Teal as of December 31, 2020 (prior to any fair value adjustment).

(c) Prepare the adjusting entry on December 31, 2020, applying the fair value method to Sandhill’s long-term investment in Teal Company securities. (Credit account titles are automatically indented when amount is entered. Do not indent manually. If no entry is required, select "No Entry" for the account titles and enter 0 for the amounts.)