CP Riding a Loop-the- Loop. A car in an amusement park ride rolls without friction around a track (Fig. P7.42). The car starts from rest at point A at a height h above the bottom of the loop. Treat the car as a particle. (a) What is the minimum value of h (in terms of R) such that the car moves around the loop without falling off at the top (point B?)? (b) If h = 3.50R and R = 14.0 m, compute the speed, radial acceleration, and tangential acceleration of the passengers when the car is at point C. which is at the end of a horizontal diameter. Show these acceleration components in a diagram, approximately to scale.
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Physics: Principles with Applications
- A rod of length L=3.00 m and negligible mass, that can pivot about one end to rotate in a vertical circle. A ball of mass m = 10.0 kg is attached to the other end. The rod is pulled aside to angle θ0 = 70° and released with initial velocity ? = 5.00 m/s. (a) What is the speed of the ball at the lowest point? (b) what is the speed of the ball when θ = 10°?arrow_forwardYou push a .50kg block against a spring (k=3100 N/m),compressing it by .12m. The block is then released from rest and the spring pushes the block away. The spring and the block lose contact and the block collides with a second block of twice the mass. The two blocks slide together down a frictionless track consisting of a flat straightaway and a vertical, semi-circle of radius 40cm. What is the speed of the blocks when they have travelled halfway up the semicircle part of the track? What is the magnitude of the normal force on the two blocks at that same location?arrow_forwardMalar is playing with a toy car track set and has made a vetical loop she wants to send a 150-gram car around. She has a hill for the car to roll down and if she releases it from a height of 24 cm above the top of the loop, which has a radius of 20 cm, it goes around the loop and exits with a speed of 3.12 m/s. How much energy was lost due to friction (between the car and the sides of the track, and the car's axels) during the entire trip? Hint: You don't have any details about the time while the car is going down the hill or through the loop, so you don't know how fast it is going at the top of the loop.arrow_forward
- A car initially traveling eastward turns north by traveling in a circular path at uniform speed as shown in Figure P7.15. The length of the arc ABC is 235 m, and the car completes the turn in 36.0 s. (a) Determine the car’s speed. (b) What is the magnitude and direction of the acceleration when the car is at point B?arrow_forwardA 148 g ball is released from rest H = 1.51 m above the bottom track. It rolls down a straight 45° segment, then back up a parabolic segment whose shape is given by y = x2/4, where x and y are in m. How high will the ball go on the right before reversing direction and rolling back down?arrow_forwardA 15.0 kg stone glides down (we neglect any type of rotation) on a snowy hill, starting from point A with a speed of 10.0 m/s. There is no friction on the hill between points A and B, but there is friction on the flat ground below, between B and the wall. After entering the horizontal rough region, the stone travels 100 m and collides with a very long and light spring, whose force constant is 2.00 N / m. The coefficients of kinetic and static friction between the stone and the horizontal ground are 0.20 and 0.80, respectively. How far will the stone compress the spring? A 20 m В VK15 m- Rough zone a) 22,2 m b) 16,4 m c) 45,78 m d) 100 m D. Concentraarrow_forward
- Trucks can be run on energy stored in a rotating flywheel, with an electric motor getting the flywheel up to its top speed of 683 rad/s. One such flywheel is a solid, uniform cylinder with a mass of 535 kg and a radius of 1.2 m that rotates about its central axis. What is the kinetic energy of the flywheel after charging? If the truck uses an average power of 8.4 kW, for how many minutes can it operate between chargings?arrow_forwardA bicycle is turned upside down while its owner repairs a flat tire. A friend spins the other wheel and observes that drops of water fly off tangentially. She measures the heights reached by drops mov- ing vertically (Fig. P7.8). A drop that breaks loose from the tire on one turn rises vertically 54.0 cm above the tangent point. A drop that breaks loose on the next turn Figure P7.8 rises 51.0 cm above the tangent point. The radius of the wheel is 0.381 m. (a) Why does the first drop rise higher than the second drop? (b) Neglecting air friction and using only the observed heights and the radius of the wheel, find the wheel's angular acceleration (assuming it to be constant). Problems 8 and 69.arrow_forwardThe figure shows a thin rod, of length L = 2.20 m and negligible mass, that can pivot about one end to rotate in a vertical circle. A heavy ball of mass m = 8.10 kg is attached to the other end. The rod is pulled aside to angle 00 = 8° and released with initial velocity V 0. (a) What is the speed of the ball at the lowest point? (b) Does the speed increase, decrease, or remain the same if %3D the mass is increased? 3.arrow_forward
- Some European trucks run on energy stored in a rotating flywheel, with an electric motor getting the flywheel up to its top speed of 400 π rad/s. One such flywheel is a solid, uniform cylinder with a mass of 620 kg and a radius of 1.24 m. (a) What is the kinetic energy of the flywheel after charging? (b) If the truck uses an average power of 6.3 kW, for how many minutes can it operate between chargings?arrow_forwardX Incorrect. In the figure, a small block of mass m = 0.014 kg can slide along the frictionless loop-the-loop, with loop radius R = 12 cm. The block is released from rest at point P, at height h = 5R above the bottom of the loop. What are the magnitudes of (a) the horizontal component and (b) the vertical component of the net force acting on the block at point Q? (c) At what height h should the block be released from rest so that it is on the verge of losing contact with the track at the top of the loop? (On the verge of losing contact means that the normal force on the block from the track has just then become zero). TEP (a) Number i 0.06 (b) Number Number i h Units Units Units QT R Y J 000arrow_forwardA bowling ball, whose radius R is 11 cm and whose mass is 7.2 kg. rolls from rest down a plank whose length L is 2.1 m. the plank is inclined at an angle φ of 34 degrees to the horizontal. How fast is the ball moving when it reaches the bottom of the plank?arrow_forward
- Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningUniversity Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University