7.The mass of a roller-coaster car, including its passengers, is 519 kg. Its spe

Question

7.The mass of a roller-coaster car, including its passengers, is 519 kg. Its speed at the bottom of the track in the figure below is 20 m/s. The radius of this section of the track is r1 = 27 m. Find the force that a seat in the roller-coaster car exerts on a 46-kg passenger at the lowest point.

magnitude?

Direction?

8.   Disturbed by speeding cars outside his workplace, Nobel laureate Arthur Holly Compton designed a speed bump (called the "Holly hump") and had it installed. Suppose a 1 800-kg car passes over a hump in a roadway that follows the arc of a circle of radius 20.8 m as in the figure below.

(a) If the car travels at 34.5 km/h what force does the road exert on the car as the car passes the highest point of the hump?

Magnitude?

Direction?

9. The pilot of an airplane executes a loop-the-loop maneuver in a vertical circle. The speed of the airplane is 325 mi/h, at the top of the loop and 450 mi/h at the bottom, and the radius of the circle is 1 120 ft. Note: His apparent weight is equal to the magnitude of the force exerted by the seat on his body.

Explanation / Answer

7---

F(net) = mg + mv^2/r
=>F(net) = 46[9.8+(20 x 20/27)]
=>F(net) = 46[9.8+14.81]
=>F(net) = 46 x 24.61 = 1132.3 N

8---

34.50 km/h = 34.50^3 m / 3600s = 11.40 m/s

At the top of the circle the centripetal force (mv

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