22. QC A roller coaster at the Six Flags Great America amusement park in Gurnee, llinois, incorpo rates some clever design technol ogy and some basic physics. Each vertical loop, instead of being circular, is shaped like a teardrop (Fig. P5.22). The cars ride on the inside of the loop at the top, and the speeds are fast enough to en- sure the cars remain on the track. The biggest loop is 40.0 m high Suppose the speed at the top of the loop is 13.0 m/s and the cor responding centripetal acceleration of the riders is 2g. (a) What is the radius of the arc of the teardrop at the top? (b) If the total mass of a car plus the riders is M, what force does the rail exert on the car at the top? (c) Suppose the roller coaster had a circular loop of radius 20.0 m. If the cars have the same speed, 13.0 m/s at the top, what is the cen- tripetal acceleration of the riders at the top? (d) Comment on the normal force at the top in the situation described in part (c) and on the advantages of having teardrop-shaped loops Figure P5.22 Frank Cezus/Getty Images

A roller coaster contains a loop-the-loop in which the car and rider are completely upside down at the top of the loop. The radius of the loop is 16 m. What minimum speed (in m/s) must the car have at the top so that the rider does not fall out while upside down? Assume the rider is not strapped to the car. 12.53 m/s. What is the magnitude of the normal force at the top of the loop? What is the magnitude of the normal force at the bottom of the loop?

m R A racing greyhound can run around curves at high speed. Suppose the radius of a semicircular turn on a dogtrack is 21.6 m, and the speed of a greyhound is constant at 15.1 m/s; assume the dog's mass is 22.7 kg. What is the acceleration of the greyhound on the turn? (in m/s^2) OA: 4.487 OB: 5.070 OC: 5.729 OD: 6.474 OE: 7.316 OF: 8.267 OG: 9.342 OH: 10.556

Q4.

Number 8 to 9 are together

A roller coaster cart is moving over the top of a circular hill that has a diameter of 56 m. What is the fastest safe speed that the roller cart can go over the top of the hill? (that is, at what speed will the cart begin to lose contact with the track?). Assume a coefficient of friction of 0.7.

An 800kg roller coaster traveling at 10m/s is 80m above the bottom of the track. a. How fast is the roller coaster car traveling at the bottom of the hill? b. How fast is the roller coaster car traveling at the top of the loop?

Which kid will reach the bottom first if they both leave the slide at the same instant?

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