Car A and car B take part in a race around a circular track. One lap of the track measures 7.6 km.

Car A takes 2 minutes and 40 seconds to complete each lap of the track.

Car B takes 2 minutes and 25 seconds to complete each lap of the track.

Both cars travel at a constant speed.

(a) Calculate the speed of car A.

Give your answer in kilometres per hour.

km/h

(b) Both cars start the race from the same position, S, at the same time.

(i) Find the time taken when both car A and car B are next at position S at the same time.

Give your answer in minutes and seconds.

(ii) Find the distance that car A has travelled at this time.

Determine the amount of work done when a crane lifts a 100-n block form 2m above the ground to 6m above the ground

1. the materials manager for a billiard ball maker must periodically place orders for resin, one of the raw materials used in producing billiard balls. she knows that manufacturing uses resin at a rate of 50 kilograms each day, and that it costs $.04 per day to carry a kilogram of resin in inventory. she also knows that the order costs for resin are $100 per order, and that the lead time for delivery is four (4) days.2. at what point should resin be reordered? a. 0 kilograms remainingb. 50 kilograms remainingc. 200 kilograms remainingd. 400 kilograms remaininge. 500 kilograms remaining3. if order size was 1,000 kilograms of resin, what would be the length of an order cycle? a. 0.05 daysb. 4 daysc. 16 daysd. 20 dayse. 50 days4. if the order size was 1,000 kilograms of resin, what would be the average inventory level? a. 50 kilogramsb. 200 kilogramsc. 500 kilogramsd. 800 kilogramse. 1,000 kilograms5. if the order size was 1,000 kilograms of resin, what would be the daily total inventory costs, excluding the cost of the resin? a. $5b. $10c. $20d. $25e. $40

The electric field direction is defined by the direction of the force felt by (select one of the following answers): 1. a negative charge. 2. a positive charge. 3. both positive and negative charges.