1. Because you are a fan of science and science fiction, you always follow what’s going on with the space program, and now you have landed an internship with SpaceX, the private company that has been developing reusable rockets. Your task today is to analyze some failure data from a prior mission that went wrong. The 2.1 x 106 kg capsule was orbiting at a constant speed of 6.5 x 106 m/s when its’ fuel system blew up. One piece, with mass 4.0 x 105 kg, is blown straight backward with a speed of 2.2 x 106 m/s. Another piece, with mass 7.7 x 105 kg, travelled forward, but at a 20° angle from its’ original path, at a speed of 1.2 x 105 m/s. What are the speed and direction of the third piece immediately after the capsule blew up?

Amarble, a bowling ball, a basketball, and a baseball are rolling across the floor at 10 m/s. which one has the greatest kinetic energy? the marble the bowling ball the basketball the baseball

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

If the spring constant k of a pogo stick is 3500 n m and the weight of the person on the pogo stick is 700 n, how much is the spring in the botom of the pogo stick compressed?