Alarge fish and a small cat stare at each other from either side of a flat vertical aquarium wall. each is 20 cm long from nose (closest to the glass) to tail (farthest from the glass), and each has its nose 10 cm from the glass. a) to the fish, how far does the cat's nose look to be from the glass? b) to the cat, how far does the fish's nose look to be from the glass? c) to the fish, how long does the cat look? d) to the cat, how long does the fish look? is thin enough to be ignored; you can treat this as an air/water interface. hint: to determine "where" a point appears to be, you must trace multiple rays emanating out from it, figure out how they refract, and then trace back to where the refracted rays seem to be diverging from.

1. consider the case in which air fills air shocks on a truck trailer. the pressure in the shocks is 2 mpa. the temperature is 300 k. the diameter of the shock piston is 10 cm and the initial length of the cylindrical cavity containing the compressed air is 40 cm. a. the truck is gradually loaded over a period of a day in a static setting. the temperature is held constant for the atmosphere and thus for the gas shock. calculate the compressibility of the air in the shock for this condition when the truck is initially being loaded. b. if the shocks were loaded in a dynamic setting by driving over bumps, what would be the compressibility? state your assumption. c. what is the initial load on the shock if the shock is in an atmospheric 100 kpa? d. if the shock is compressed using the process described in part a, and the air shock compressed air cavity length decreases to 20 cm, what is the additional load applied to the shock?

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An astronaut in space cannot use a scale or balance to weigh objects because there is no gravity. but she does have devices to measure distance and time accurately. she knows her own mass is 77.4 kg , but she is unsure of the mass of a large gas canister in the airless rocket. when this canister is approaching her at 3.50 m/s , she pushes against it, which slows it down to 1.30 m/s (but does not reverse it) and gives her a speed of 2.60 m/s . what is the mass of the canister?