Question

7. + -/10 points SerPSE10 6.2.OP.012. My Notes + Ask Your Teacher A roller-coaster car has a mass of 509 kg when fully loaded with passengers. The path of the coaster from its initial point shown in the figure to point B involves only up-and-down motion (as seen by the riders), with no motion to the left or right. Assume the roller-coaster tracks at points A and B are parts of vertical circles of radius r , = 10.0 m and r2 = 15.0 m, respectively. (a) If the vehicle has a speed of 20.5 m/s at point ®, what is the force exerted by the track on the car at this point? N (b) What is the maximum speed the vehicle can have at B and still remain on the track? m/s

Answer 1

Now given data are Mesog kg V= 2015 m/s 8 = 10.om 2 = 15.0m we know that exerted find the force 2002 F = mg + 8 put The value. E = sogx9.81 + 509x(2015) so9x9:81710 F = 96384.01SN still romain on track are de= 9 find the speed 5 = 82xg va 82x9 put the value. v= 1369087 TV = 12.1805 m/s