a ping pong ball weighing 2 oz. with a contant velocity of V=8j+6k ft/sec. A gust of wind exerts a force of F=.5t i oz. on the ball. Determine the magnitude and direction of th ball after .5 sec

A regulation tennis ball has a diameter of 2½ inches; a Ping-Pong ball has a diameter of 1½ inches.

a. Find and compare the volumes of the two types of balls.

b. Find and compare the surface areas of the two types of balls.

Please show steps

Topic 2: Consolidation: Intra-group transactions

On 1 July 2015, Ping Pong Ltd acquired all the issued shares of Sing Song Ltd. At the date of acquisition, the shareholders’ equity of Sing Song Ltd consisted of share capital $120,000; general reserve $25,000 and retained earnings $55,000. The identifiable net assets of Sing Song Ltd were recorded at amounts equal to their fair values, except for the following assets:

The assets of Sing Song Ltd at acquisition date included goodwill recorded at $15,000 arising from a business combination transaction in 2011. As at the date of acquisition, the vehicles and machinery were expected to have a further useful life of 6 and 8 years respectively, with benefits to be received evenly over those periods. Inventories on hand on 1 July 2015 was all sold by 31 January 2016. The land owned at 1 July 2015 was sold in September 2016 for $150,000. The machinery on hand at 1 July 2015 was sold on 1 January 2018 for $38,000.

Adjustments for the differences between carrying amount and fair values of assets and liabilities on hand at acquisition date are recognised on consolidation. When assets are sold or derecognised, any related valuation reserves are transferred to retained earnings.

At 1 July 2015, Sing Song Ltd owned but had not recorded an internally generated brand name, an identifiable asset included as part of the business combination transaction. This brand name was considered by Ping Pong Ltd to have a fair value of $29,000 and an indefinite useful life. An impairment test conducted with respect to the brand name on 30 June 2018 concluded that its recoverable amount at that date was $2,000 less than its carrying amount.

In June 2017, Sing Song Ltd paid a share dividend worth $20,000 from the general reserve on hand at 1 July 2015.

The trial balances of both companies at 30 June 2018 showed the following balances:

Additional information:

On 1 January 2018, Ping Pong Ltd sold an item of equipment to Sing Song Ltd for $18,000. The equipment had a carrying amount at the date of sale of $21,000. Both companies depreciate equipment at 20% on a straight line basis.

On 1 May 2017, Sing Song Ltd sold a machine to Ping Pong Ltd for $7,800. The machine had a carrying amount of $7,000 at the date of sale. Ping Pong Ltd recorded the machine as inventories. The inventories item was sold to an external party in November 2017 for $8,200.

All interests on the 8% debentures has been paid and brought to account in the records of both companies.

During the 2017-2018 financial year, Ping Pong Ltd sold inventories to Sing Song Ltd for $75,000. The cost of these inventories to Sing Song Ltd was $70,000. Of these inventories, 25% is still on hand at 30 June 2018.

The transfer to the general reserve recorded by Sing Song Ltd in the current year was from retained earnings recorded at 1 July 2015.

The tax rate is 30%.

Required:

Prepare an acquisition analysis.

Prepare the consolidation worksheet entries necessary to prepare the consolidated financial statements for the year ending 30 June 2018 for the group comprising Ping Pong Ltd and Sing Song Ltd.

Note: you are not required to prepare the consolidation worksheet and the consolidated financial statements.

The market for ping pong balls is initially in equilibrium at a price of $10.00 and quantity of 115. Then supply increases from S1 to S2 and a new equilibrium is established at a price of $8.00 and quantity of 150.

The change in revenue attributable to the “price effect” is

Group of answer choices

A.An increase of $280

B.A decrease of $280

C.A decrease of $230

D.An increase of $230

This module covers Chapter 11, Section 11.1 to 11.4 and focuses on probability. One common example of probability is the daily or weekly lottery. Have you ever seen those drawings where they use ping-pong balls to select random numbers? If you calculate the chances of winning, they are pretty poor. For this week, I want you to design your own lottery and have another student assess the chances of winning. Keep it simple ... you could use dice, balls with numbers, or some other approach. Example initial post ... I would like to design a lottery where there are 3 dice in a bag. The person will pick one dice at a time and record the number. In the end, we will have a sequence of 3 numbers. What is the chance of winning my game? Example response post ... Since there are 6 sides to each dice, each selection has 6 different possible outcomes. Since we make 3 selections, the total number of outcomes is 6^3 = 6*6*6 = 216. So, our chances (or probability) of getting any single outcome is 1/216 or 1 out of 216. Another way to think of this is 1/216 = 0.004629 = 0.46% chance of winning. PLEASE TYPE- PLEASE TYPE

A cylinder, which is in a horizontal position, contains an unknown noble gas at 48400 Pa and is sealed with a massless piston. The piston is slowly, isobarically moved inward 18.9 cm, which removes 18600 J of heat from the gas. If the piston has a radius of 27.2 cm, calculate the change in the internal energy of the system Δ U

Write a MATLAB script or function that returns the required initial velocity of the ping pong ball required to launch it a specified distance. Use projectile motion equations. Keep in mind that the initial firing height will change depending on the proposed catapult design.

Primary considerations in the catapult design are accuracy and repeatability as groups will be tasked with hitting the target (cup) repeatedly at distances ranging from 7 to 9 ft. (cup moved in 6 in. increments).

The population of weights for men attending a local health club is normally distributed with a mean of 180-lbs and a standard deviation of 25-lbs. An elevator in the health club is limited to 32 occupants, but it will be overloaded if the total weight is in excess of 6112-lbs.

Assume that there are 32 men in the elevator. What is the average weight of the 32 men beyond which the elevator would be considered overloaded?
average weight = _________ lbs

What is the probability that one randomly selected male health club member will exceed this weight?
P(one man exceeds) = _____________
(Report answer accurate to 4 decimal places.)

If we assume that 32 male occupants in the elevator are the result of a random selection, find the probability that the elevator will be overloaded?
P(elevator overloaded) =____________
(Report answer accurate to 4 decimal places.)

If the elevator is full (on average) 6 times a day, how many times will the elevator be overloaded in one (non-leap) year?
number of times overloaded = _________________
(Report answer rounded to the nearest whole number.)

The population of weights for men attending a local health club is normally distributed with a mean of 173-lbs and a standard deviation of 30-lbs. An elevator in the health club is limited to 35 occupants, but it will be overloaded if the total weight is in excess of 6615-lbs. Assume that there are 35 men in the elevator. What is the average weight of the 35 men beyond which the elevator would be considered overloaded? average weight = lbs What is the probability that one randomly selected male health club member will exceed this weight? P(one man exceeds) = (Report answer accurate to 4 decimal places.) If we assume that 35 male occupants in the elevator are the result of a random selection, find the probability that the elevator will be overloaded? P(elevator overloaded) = (Report answer accurate to 4 decimal places.) If the elevator is full (on average) 5 times a day, how many times will the elevator be overloaded in one (non-leap) year? number of times overloaded = (Report answer rounded to the nearest whole number.)