*100 points, do all if not most of the questions listed, you*
dimensional analysis
1a. (25km/5)(1000m/1km)(1h/3600s) =
carry out the following conversions using the factor-label method. show all of your work !
2a. how many seconds are in a year?
2b. convert 28km to cm
2c. convert 45kg to mg
2d. convert 85cm/min to m/s
2e. convert the speed of light, 3x10^8 to km/day
2f. convert 823nm to m
2g. 8.5cm^3 to m^3

Aferris wheel is a vertical, circular amusement ride with radius 9 m. riders sit on seats that swivel to remain horizontal. the ferris wheel rotates at a constant rate, going around once in 9 s. consider a rider whose mass is 56 kg. at the bottom of the ride, what is the perpendicular component of the rate of change of the rider's momentum? at the bottom of the ride, what is the vector force exerted by the seat on the rider?

Ahot-air balloonist, rising vertically with a constant speed of 5.00 m/s releases a sandbag at the instant the balloon is 40.0 m above the ground. after it is released, the sandbag encounters no appreciable air drag. compute the velocity of the sandbag at 0.250 s after its release.

The speed of sound in ice, water, and steam is shown. what best explains the speed of sound in different states of matter? sound travels fastest in ice because energy is easier to transfer when the molecules are close together. sound travels slowest in steam because the sound has to move around the gas molecules that are far apart. sound travels fastest in ice because the temperature of solids is always greater, so the heat transfers the sound energy. sound travels slowest in steam because the pressure is so great the sound cannot travel though the steam particles.