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You are designing the section of a roller coaster ride shown in the figure. Previous sections of the ride give the train a speed of 12.5 m/s at the top of the incline, which is 38.3 m above the ground. As any good engineer would, you begin your design with safety in mind. Your local government\'s safety regulations state that the riders\' centripetal acceleration should be no more than n = 1.85 g\'s at the top of the hump and no more than N = 5.69 g\'s at the bottom of the loop. For this initial phase of your design, you decide to ignore the effects of friction and air resistance. What is the minimum radius you can use for the semi-circular hump? What is the minimum radius you can use for the vertical loop?
Suppose a flat roof has a surface area of 1.29000×102 m2. What is the force with which the air inside the house pushes the roof upward
electrons flow through a 2.2 mm diameter aluminum wire at 2.2 x 10^-4 m/s. *electron density of aluminum is 6 x 10^28 m^-3*
a sinusoidal wave travels along a stretched point. a point along the string has a max velocity of 1m/s and a max displacement of 2cm
You have a concave spherical mirror with a 10.3-cm radius of curvature. You place an object on the mirror\'s axis, How far is the object\'s image from the mirror
A 9800 kg boxcar traveling at 19 m/s strikes a second boxcar at rest. The two stick together and move off with a speed of 13 m/s
A horizontal magnetic field of 1.1×10?4 T is at an angle of 31 to the direction of the current in a straight, horizontal wire 80 cm long. If the wire carries a current of 18 A, what is the magnitude of the force on the wire
In very cold weather, a significant mechanism for heat loss by the human body is energy expended in warming the air taken into the lungs with each breath. How much heat is lost per hour if the respiration rate is 19.0 breaths per minute
In an RC series circuit, ? = 12.0 V, R = 2.02 M?, and C = 2.33 µF. Find the maximum charge that will appear on the capacitor during charging
\(\sum_{}^{}A_{n}sin(nk_{1}z); n = 1, 3, 5.....\) Formula 1 Formula 2 Prove the following two statements using a method that makes use of the normal modes of a continuous string with appropriate boundary conditions, and is equivalent to the the Fo..
q1. a tennis ball of mass 57 g travels with velocity lt 48 0 0 gt ms toward a wall. after bouncing off the wall the
A lens with a focal length of 25 cm and a concave mirror with a radius of curvature of 100 cm are placed 1.0 meters apart. determine if it is real or virtual
A box of sand, initially at rest, is to be pulled across a floor by means of a cable in which the tension cannot be allowed to exceed 1100N. What is the weight of the sand and box in that situation
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