A 20 kg child is sliding at 3 m/s across a frictionless frozen pond a -45 degrees relative to the x-axis, straight towards a dangerous hole in the ice. A physics professor is out for a stroll when he spots the child in peril and heroically launches herself across the ice at 30 degrees relative to the x-axis to intercept the child. Required:
a. If the physics professor weighs 78.9 kg and launches herself across the ice with a velocity of 5 m/s. What is the magnitude of the velocity of the duo after the professor has grabbed the child?
b. At what angle (relative to the +x axis) with the duo be sliding after the rescue? Give an angle in degrees measured counter-clockwise from the x axis.

Oxygen and hydrogen gas are at the same temperature t.what is the ratio of kinetic energies of oxygen molecule and hydrogen molecule if oxygen is 16 times heavier than hydrogen.

Aboy with a mass 25 kg climbs into a small tree. he sits on a branch that is 2.o m above to the ground.what is his gravitational potential energy 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