The moon and earth rotate about their common center of mass, which is located about rcm 4700 km from the center of earth. (this is 1690 km below the surface.) take the distance from the center of the earth to the center of the moon to be 3.84x108 m, and the mass of the moon to be 7.35x1022 kg part (a) write an expression for the acceleration of earth due to the moon's gravity using m as the mass of the moon and r as the distance between the center of the earth and the center of the moon. expression: ам- select from the variables below to write your expression. note that all variables may not be required. a, b, t, 0, d, g. g, h, j, k, m, p, r, rcm t part (b) calculate the acceleration of earth due to the moon's gravity in ms numeric : a numeric value is expected and not an expression. ам part (c) calculate the centripetal acceleration of the center of earth as it rotates about their common center of mass once each lunar month (about 27.3 d) in m/s2 numeric : a numeric value is expected and not an expression.

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