A frog makes four jumps in a row. The displacement vectors for the four jumps are: (1) 30.0 cm, due west; (2) 24.0 cm, 42.0° south of west; (3) 28.0 cm, 48.0° south of east; and (4) 36.0 cm, 38.0° north of east. What is the magnitude, in centimeters, and what is the direction of the frog's displacement from its starting point? Express the direction as an angle measured counterclockwise from due east.

magnitude: cm

direction: degrees (counter clockwise from due east)

Qantas flies a non-stop route from London, UK (51.5 N,0 E) to Perth, Australia (32 S,115.9 E). Assume the Earth is perfect sphere with radius of 6371 km.

Calculate the total length of the flight first fly due east until reach longitude 115.9 degree east and then fly due south.

Calculate the total length by first fly due south then due east.

Calculate the arc angle of the great circle and therefore the shortest flight path.

Two cars collide at an icy intersection and stick together afterward. The first car has a mass of 1450 kg and is approaching at 8.5 m/s due south. The second car has a mass of 850 kg and is approaching at 16.5 m/s due west.

(a) Calculate the magnitude of the final velocity, in meters per second, of the cars.

(b) Calculate the direction of the final velocity, in degrees south of west, of the cars.

(c) What is the change in kinetic energy, in joules, for the collision? (This energy goes into deformation of the cars.)

A 1410-kg car moving east at 17.0 m/s collides with a 1880-kg car moving south at 15.0 m/s, and the two cars connect together.

a) What is the magnitude of the velocity of the cars right after the collision? (m/s)

b) What is the direction of the cars right after the collision? Enter the angle in degrees where positive indicates north of east and negative indicates south of east. (°)

c) How much kinetic energy was converted to another form during the collision? ( kJ)

Question 3 [30]
Fructose is a naturally occurring carbohydrate. There are three inborn errors of
metabolism associated with fructose metabolism.

fructose metabolism play in obesity? Explain your answer with the aid of a flow
diagram. (10)

4. At the BRICS summit held in Gauteng in July 2018, China signed several agreements on investments in South Africa amounting to R210.8 billion (US $14.7 billion). Critically evaluate how this impacts on the macroeconomic objectives of the South African economy.

1. For each of the following scenarios, explain the reason for the price change as indicated. Use diagrams to motivate your answer.

1.1 The price of peaches decreases during its heaviest months of consumption

1.2 The price of beachfront cottages increase during peak/festive season

Question 2

Analyse how the following events will affect South Korea’s economy using the AD-AS diagram. In response to the Covid-19 pandemic, President Moon announced a supplementary budget in April 2020 to increase government spending by KRW 8 trillion to fund an emergency relief program. At the same time, firms face an increase in the cost of production due to unavailability of materials. What would happen to the output and the price level in the short run and long run in South Korea? Diagram/s are required to aid your explanation.                                      

Analyse how the following events will affect South Korea’s economy using the AD-AS diagram. In response to the Covid-19 pandemic, President Moon announced a supplementary budget in April 2020 to increase government spending by KRW 8 trillion to fund an emergency relief program. At the same time, firms face an increase in the cost of production due to unavailability of materials. What would happen to the output and the price level in the short run and long run in South Korea? Diagram/s are required to aid your explanation.

Direct financing and sales-type lease; lessee and lessor

Rand Medical manufactures lithotripters. Lithotripsy uses shock waves instead of surgery to eliminate kidney stones. Physicians’ Leasing purchased a lithotripter from Rand for $2,000,000 and leased it to Mid-South Urologists Group, Inc., on January 1, 2016.

Collectibility of the lease payments is reasonably assured, and there are no lessor costs yet to be incurred.

Required:

1.  How should this lease be classified by Mid-South Urologists Group and by Physicians’ Leasing?

2.  Prepare appropriate entries for both Mid-South Urologists Group and Physicians’ Leasing from the inception of the lease through the second rental payment on April 1, 2016. Depreciation is recorded at the end of each fiscal year (December 31).

3.  Assume Mid-South Urologists Group leased the lithotripter directly from the manufacturer, Rand Medical, which produced the machine at a cost of $1.7 million. Prepare appropriate entries for Rand Medical from the inception of the lease through the second lease payment on April 1, 2016.

Rand Medical manufactures lithotripters. Lithotripsy uses shock waves instead of surgery to eliminate kidney stones. Physicians’ Leasing purchased a lithotripter from Rand for $2,710,000 and leased it to Mid-South Urologists Group, Inc., on January 1, 2018. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.)

Lease Description: Quarterly lease payments $ 191,737—beginning of each period Lease term 5 years (20 quarters) No residual value; no purchase option Economic life of lithotripter 5 years Implicit interest rate and lessee's incremental borrowing rate 16% Fair value of asset $ 2,710,000

Required: 1. How should this lease be classified by Mid-South Urologists Group and by Physicians' Leasing?

2. Prepare appropriate entries for both Mid-South Urologists Group and Physicians' Leasing from the beginning of the lease through the second rental payment on April 1, 2018. Adjusting entries are recorded at the end of each fiscal year (December 31).

3. Assume Mid-South Urologists Group leased the lithotripter directly from the manufacturer, Rand Medical, which produced the machine at a cost of $2.3 million. Prepare appropriate entries for Rand Medical from the beginning of the lease through the second lease payment on April 1, 2018.