A Boeing 747 jet airplane takes off from Dallas to New York. It is cruising at a constant speed of 245 km/hr at 11,000 m. The coefficient of static friction between the airplane seat and a person is 0.28.
a. The airplane makes a level turn of radius 2.0 km at constant speed.
i. Would a 60 kg person slide off of the seat? Show your work.
ii. Would a 25 kg person slide off the seat? Show your work.
iii. What effect does the person's mass have on whether they would slide off of the seat? Explain your reasoning.
b. The airplane makes a level turn of radius 2.0 km at a constant speed.
i. Would a person slide off of the seat if the speed of the airplane were lower than 120 km/hr? Show your work.
ii. Would a person slide off of the seat if the speed of the airplane were higher than 500 km/hr? Show your work.
iii. Does whether or not a person slides off the seat depend on the speed of the airplane? Explain your reasoning.
c. If the airplane were making a left turn and there is a speed at which you would slide in your seat, which direction would you slide? Explain your reasoning