A loop-the-loop is a track that lies in a vertical circle. A 272 kg roller coaster car is moving at 29 m/s when it enters the bottom of a loop- the-loop with a radius of 9.1 m. What is the magnitude of the normal force acting on the car when it is at the top of the loop-the-loop? Air resistance and friction are negligible
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- A student of mass M = 98 kg takes a ride in a frictionless loop-the-loop at an amusement park. The radius of the loop-the-loop is R = 24 m. The normal force by the track on the student at the top of the loop-the-loop is N₁ = 944 N. Find the speed of M at the top of the loop-the-loop. m/s Determine the normal force on M by the track at the bottom of the loop-the-loop, assuming the speed at the bottom is the same as at the top. NDisturbed 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 1800-kg car passes over a hump in a roadway that follows the arc of a circle of radius 22.0 m as in the figure below. If the car travels at 27.4 km/h what force does the road exert on the car as the car passes the highest point of the hump? What is the maximum speed the car can have without losing contact with the road as it passes this highest point?Determine the speed v which the 680-kg four-man bobsled must have in order to negotiate the turn without reliance on friction. Also find the net normal force N exerted on the bobsled by the track. 37 -p = 57 m Answers: V = i m/s N = i kN
- A child of mass 40.0 kg is in a roller coaster car that travels in a loop of radius 9.00 m. At point A the speed of the car is 11.6 m/s, and at point B, the speed is 12.6 m/s. Assume the child is not holding on and does not wear a seat belt. B A 30° (a) What is the force (in N) of the car seat on the child at point A? (Enter the magnitude.) 205.6 ✓N (b) What is the force (in N) of the car seat on the child at point B? (Enter the magnitude.) XN 109.8 (c) What minimum speed (in m/s) is required to keep the child in his seat at point A? 9.40 m/sA small block with mass 0.0300 kg slides in a vertical circle of radius 0.550 m on the inside of a circular track. During one of the revolutions of the block, when the block is at the bottom of its path, point A, the magnitude of the normal force exerted on the block by the track has magnitude 3.75 N. In this same revolution, when the block reaches the top of its path, point B, the magnitude of the normal force exerted on the block has magnitude 0.685 N. Part A How much work was done on the block by friction during the motion of the block from point A to point B? Express your answer with the appropriate units. W friction = Submit μA Value Request Answer Units ?For the conical pendulum shown below, the bob moves in a horizontalcircle of radius 0.1 m, at a constant speed v. The mass of the bob is 81 g. The cord sweeps a cone that makes an angle 31.5 o with respect to the vertical. The x and y axes are shown in the figure with positive x pointing towards the center of the circle and positive y pointing upwards. c) Calculate the tension T in the string. d) Calculate the speed v of the bob.
- Problem 2: Princess Peach is competing in a Mario Kart race on Rainbow Road. Rainbow Road has no rails, so Peach has to be careful taking turns to make sure she doesn't fall off. There is a notoriously difficult turn on the track made up of a portion of a circle 120m in diameter. The road is angled at 30°. The track has a friction coefficient of μ = .40. Given that Peach and the car weigh 800 kg. a) Draw a free-body diagram for the car on the road. b) What is the magnitude of the normal force, and what angle does it make with the horizontal? c) Repeat part b for the the friction force d) How fast can Peach take the turn without flying or falling off the track?A crate of eggs is located in the middle of the flat bed of a pickup truck as the truck negotiates a curve in the flat road. The curve may be regarded as an arc of a circle of radius 33.8 m. If the coefficient of static friction between crate and truck is 0.610, how fast can the truck be moving without the crate sliding? Vmax= m/sSuppose a toy car experiences two horizontal forces: A time-dependent force from its motor of F = 2.0e-0.5tN, and kinetic friction with a coefficient of u = 0.1 from its wheels and bearings. What will its maximum speed be on level ground if it starts from rest? %3D %3D
- In a recent study of how mice negotiate turns, the mice ran BIO around a circular 90° turn on a track with a radius of 0.15 m. The maximum speed measured for a mouse (mass = 18.5 g) running around this turn was 1.29 m/s. What is the minimum coefficient of friction between the track and the mouse's feet that would allow a turn at this speed?You have to design a loop-the-loop for a new amusement park so that when each car passes the top of the loop inverted (upside- down), each seat exerts a force against a passenger's bottom that has a magnitude equal to 1.5 times the gravitational force that Earth exerts on the passenger.A 30 kg object is moving in uniform circular motion with a radius of 10 m. It takes the object 2 s to make one complete revolution. Find the net force acting on the object.