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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- You 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_forwardZ Your answer is partially correct. Try again. The figure shows a thin rod, of length L = 1.90 m and negligible mass, that can pivot about one end to rotate in a vertical circle. A heavy ball of mass m = 7.00 kg is attached to the other end. The rod is pulled aside to angle e, = 20° and released with initial velocity vo = 0. (a) What is the speed of the ball at the lowest point? (b) Does the speed increase, decrease, or remain the same if the mass is increased? (a) NumberT m/edugen/shared/assignment/test/aglist.uni?id%3D Units m/s to search 9:22 PM ENG 4/4/2021 SUS 13) 14 t6 1ohome @ %, & 2 3 4 9. 7. 8. 9. W 00arrow_forward
- In the figure here, a small, solid, uniform ball is to be shot from point P so that it rolls smoothly along a horizontal path, up along a ramp, and onto a plateau. Then it leaves the plateau horizontally to land on a game board, at a horizontal distance d from the right edge of the plateau. The vertical heights are h, to land at d = 6.5 cm? 5.0 cm and h, = 1.60 cm. With what speed must the ball be shot at point P for it -d- Ball 1.5 Vo m/s varrow_forwardWhile spinning down from 500.0 rpm to rest, a solid uniform disk does 51 KJ of work. If the radius of the disk is r=400mm what is it's mass?.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
- In the figure here, a small, solid, uniform ball is to be shot from point P so that it rolls smoothly along a horizontal path, up along a ramp, and onto a plateau. Then it leaves the plateau horizontally to land on a game board, at a horizontal distance d from the right edge of the plateau. The vertical heights are h; = 4.5 cm and hy - 1.70 cm. With what speed must the ball be shot at point P for it to land at d= 4.0 cm? Ball Vo"arrow_forwardTrucks 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_forward
- Back when I was a kid, I loved to play with my Hot Wheels. Hot Wheels are miniature metal cars that race down lengths of flexible track. The track comes in segments that can be connected together. One thing you can do is make the cars Loop the Loop, as shown in the figure above. Starting at a height, h, the cars race down the track, traverse a circular loop of radius, R, without falling down at the top of the loop, and then continue racing along a section of level track. If the loop is 9 inches in diameter, what is the minimum height, h, from which the cars can start and still loop the loop without falling down at the top? Neglect friction and air resistance.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_forwardSome 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_forward
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