Question

A certain roller coaster design uses a vertical loop of radius 7.248 m. Assuming that the roller coaster remains on the track, what is the minimum speed of a car at the top of the loop? (HINT: In general, the centripetal force is the vector sum of the car's weight w and the normal force N exerted by the tracks. The value of N varies with the speed. The minimum value of N is zero, which occurs when the roller coaster is just about to leave the track.)

A boy of mass 60.6 kg is about to disembark from a canoe of mass 39.1 kg. The canoe is initially at rest, with the bow just touching the dock (see figure). The center of the canoe is 3.0 m behind the bow. As the boy moves forward 6.0 m to the bow, the canoe moves away from the dock. How far is the boy from the dock when he reaches the bow?

Answer 1