Awater molecule has a permanent dipole moment of magnitude 6.2 x 10–30 c. m. what is the electric field strength 1.0 nm from a water molecule at a point on the dipole's axis? (b) without deriving, draw a well-labelled diagram representing a solid sphere of charge with radius r and provide: 1. the equation that gives the magnitude of the electric field outside the sphere, 2. and the equation that gives the magnitude of the electric field inside the sphere, (c) a proton is fired from far away at a 1.0 mm diameter glass sphere that has been charged to +100 nc. what initial speed must the proton have to just reach the surface of the glass? (d) a proton with a speed of 2.0 x 105 m/s enters a region of space in which source charges have created an electric potential. what is the proton's speed after it moves through a potential difference of 100 v?

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

Most of the volume of an atom is occupied by the

A15.75-g piece of iron absorbs 1086.75 joules of heat energy, and its temperature changes from 25°c to 175°c. what is the specific heat capacity of iron?